In this paper, following a new interpolation approach in fixed point theory, we introduce the concepts of interpolative Hardy-Rogers-type fuzzy contraction and interpolative Reich-Rus-Ciric type fuzzy contraction in the framework of metric spaces, and we analyze the existence of fuzzy fixed points for such contractions equipped with some suitable hypotheses. A few consequences in single-valued mappings which include the conclusion of the main result of Karapinar et al. [On interpolative Hardy-Rogers type contractions. Symmetry, 2019, 11(1), 8] are obtained. On the basis that fixed point of a single-valued mapping satisfying interpolative type contractive inequality is not necessarily unique, and thereby making the notions more appropriate for fixed point theorems of multifunctions, new multivalued analogues of the fuzzy fixed point theorems presented herein are deduced as corollaries. In addition, nontrivial examples which dwell upon the generality of our results are provided. Finally, one of our results is applied to investigate solvability conditions of a Fredholm integral inclusion.
{"title":"On interpolative fuzzy contractions with applications","authors":"Rafiq Muhammad, M. Shagari, A. Azam","doi":"10.2298/fil2301207m","DOIUrl":"https://doi.org/10.2298/fil2301207m","url":null,"abstract":"In this paper, following a new interpolation approach in fixed point theory, we introduce the concepts of interpolative Hardy-Rogers-type fuzzy contraction and interpolative Reich-Rus-Ciric type fuzzy contraction in the framework of metric spaces, and we analyze the existence of fuzzy fixed points for such contractions equipped with some suitable hypotheses. A few consequences in single-valued mappings which include the conclusion of the main result of Karapinar et al. [On interpolative Hardy-Rogers type contractions. Symmetry, 2019, 11(1), 8] are obtained. On the basis that fixed point of a single-valued mapping satisfying interpolative type contractive inequality is not necessarily unique, and thereby making the notions more appropriate for fixed point theorems of multifunctions, new multivalued analogues of the fuzzy fixed point theorems presented herein are deduced as corollaries. In addition, nontrivial examples which dwell upon the generality of our results are provided. Finally, one of our results is applied to investigate solvability conditions of a Fredholm integral inclusion.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68266212","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this study, we consider integral boundary value problems of nonlinear fractional differential equations with finite delay. Existence results of positive solutions for the problems are obtained on the basis of the Guo-Krasnoselskii theorem and the Leggett-Williams fixed point theorem. Comprehensive examples follow the main results in the respective sections.
{"title":"Positive solutions for integral boundary value problems of nonlinear fractional differential equations with delay","authors":"Tawanda Chakuvinga, F. Topal","doi":"10.2298/fil2302567c","DOIUrl":"https://doi.org/10.2298/fil2302567c","url":null,"abstract":"In this study, we consider integral boundary value problems of nonlinear fractional differential equations with finite delay. Existence results of positive solutions for the problems are obtained on the basis of the Guo-Krasnoselskii theorem and the Leggett-Williams fixed point theorem. Comprehensive examples follow the main results in the respective sections.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"36 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68267661","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We prove a number of nonexistence theorems for metrics projectively and holomorphically projectively equivalent to parabolic metrics and metrics of finite volume of complete Riemannian and K?hler manifolds, respectively.
{"title":"On metrics projectively and holomorphically projectively equivalent to metrics of parabolic Riemannian and Kähler manifolds","authors":"J. Mikeš, S. Stepanov, I. Tsyganok","doi":"10.2298/fil2303949m","DOIUrl":"https://doi.org/10.2298/fil2303949m","url":null,"abstract":"We prove a number of nonexistence theorems for metrics projectively and holomorphically projectively equivalent to parabolic metrics and metrics of finite volume of complete Riemannian and K?hler manifolds, respectively.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68268095","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ricardo Cruz-Castillo, A. Ramírez-Páramo, J. Tenorio
In this paper we continue the study of the characterization of selection principles in the hyperspaces CL(X), K(X), F(X) and CS(X), endowed with the hit-and-miss topology, by using ??(?)-networks and c?(?)-covers of a topological space X. Specifically, we prove theorems which characterize the covering properties Hurewicz, strongly star Hurewicz, star Hurewicz and absolutely strongly star Hurewicz in these hyperspaces.
{"title":"Hurewicz and Hurewicz-type star selection principles for hit-and-miss topology","authors":"Ricardo Cruz-Castillo, A. Ramírez-Páramo, J. Tenorio","doi":"10.2298/fil2304143c","DOIUrl":"https://doi.org/10.2298/fil2304143c","url":null,"abstract":"In this paper we continue the study of the characterization of selection principles in the hyperspaces CL(X), K(X), F(X) and CS(X), endowed with the hit-and-miss topology, by using ??(?)-networks and c?(?)-covers of a topological space X. Specifically, we prove theorems which characterize the covering properties Hurewicz, strongly star Hurewicz, star Hurewicz and absolutely strongly star Hurewicz in these hyperspaces.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68268392","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper?s objective is to put forward anewkind of E?type contraction, which includes rational expression, by considering Proinov type functions and CG?simulation functions. This type of contraction is termed as a Suzuki-Proinov type generalized (?,Z* E)?contraction mapping. Further, some common fixed point theorems using these new mappings, which are triangular ??admissible pairs, are demonstrated in the setting of modular b?metric space. Besides, the given example indicates the applicability and validity of the outcomes of this study.
{"title":"On generalized Suzuki-Proinov type (α,Z*E)−contractions in modular b−metric spaces","authors":"Abdurrahman Büyükkaya, Andreea Fulg, Mahpeyker Özturk","doi":"10.2298/fil2304207b","DOIUrl":"https://doi.org/10.2298/fil2304207b","url":null,"abstract":"This paper?s objective is to put forward anewkind of E?type contraction, which includes rational expression, by considering Proinov type functions and CG?simulation functions. This type of contraction is termed as a Suzuki-Proinov type generalized (?,Z* E)?contraction mapping. Further, some common fixed point theorems using these new mappings, which are triangular ??admissible pairs, are demonstrated in the setting of modular b?metric space. Besides, the given example indicates the applicability and validity of the outcomes of this study.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"15 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68268930","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We propose an age-space structured brucellosis model that includes diffusion with heterogeneous coefficients and a general nonlinear incidence rate. The renewal process is used to calculate the next generation operator, and the basic reproduction number R0 is defined by the spectral radius of the next generation operator. We prove that R0 governs the threshold dynamics of the brucellosis model: when R0 < 1 the disease dies out, and when R0 > 1 the disease persists.
{"title":"Threshold dynamics of an age-space structured brucellosis model with nonlinear incidence rate on a heterogeneous environment","authors":"E. Avila-Vales, Ángel G. C. Pérez","doi":"10.2298/fil2304989a","DOIUrl":"https://doi.org/10.2298/fil2304989a","url":null,"abstract":"We propose an age-space structured brucellosis model that includes diffusion with heterogeneous coefficients and a general nonlinear incidence rate. The renewal process is used to calculate the next generation operator, and the basic reproduction number R0 is defined by the spectral radius of the next generation operator. We prove that R0 governs the threshold dynamics of the brucellosis model: when R0 < 1 the disease dies out, and when R0 > 1 the disease persists.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68269128","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The study of magnetic curves, seen as solutions of Lorentz equation, has been done mainly in 3-dimensional case, motivated by theoretical physics. Then it was extended in higher dimensions, as for instance in K?hlerian or Sasakian frame. This paper deals for the first time in literature with magnetic Frenet curves in higher dimensional paracontact context. Several classifications are provided here for different types of magnetic curves on para-Sasakian manifolds. Some relations between magnetic Frenet curves and Lorenz force are obtained on these spaces and examples of magnetic curves associated to paracontact magnetic fields are constructed. Some explicit equations of the paracontact magnetic curves on the classical para-Sasakian manifold (R2n+1, ?, ?, ?, 1) are given at the end.
{"title":"Magnetic Frenet curves on para-Sasakian manifolds","authors":"C. Bejan, T. Binh, S. Druta-Romaniuc","doi":"10.2298/fil2305479b","DOIUrl":"https://doi.org/10.2298/fil2305479b","url":null,"abstract":"The study of magnetic curves, seen as solutions of Lorentz equation, has been done mainly in 3-dimensional case, motivated by theoretical physics. Then it was extended in higher dimensions, as for instance in K?hlerian or Sasakian frame. This paper deals for the first time in literature with magnetic Frenet curves in higher dimensional paracontact context. Several classifications are provided here for different types of magnetic curves on para-Sasakian manifolds. Some relations between magnetic Frenet curves and Lorenz force are obtained on these spaces and examples of magnetic curves associated to paracontact magnetic fields are constructed. Some explicit equations of the paracontact magnetic curves on the classical para-Sasakian manifold (R2n+1, ?, ?, ?, 1) are given at the end.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68269636","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we obtain an existence result for the integral boundary value problems of nonlinear fractional q-difference equations on the half-line using Schauder?s fixed point theorem.
本文利用Schauder?S不动点定理。
{"title":"Existence result for fractional q-difference equations on the half-line","authors":"Öyküm Ülke, F. Topal","doi":"10.2298/fil2305591u","DOIUrl":"https://doi.org/10.2298/fil2305591u","url":null,"abstract":"In this paper, we obtain an existence result for the integral boundary value problems of nonlinear fractional q-difference equations on the half-line using Schauder?s fixed point theorem.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68270635","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper deals with the characterization of compact operators on Ces?ro sequence spaces as an application of Hausdorff measure of noncompactness. Further, the norms of Ces?ro operators on certain spaces are investigated.
{"title":"Compact operators on Cesàro sequence spaces and norms of Cesàro operators","authors":"Merve İlkhan Kara, H. Roopaei","doi":"10.2298/fil2305673i","DOIUrl":"https://doi.org/10.2298/fil2305673i","url":null,"abstract":"This paper deals with the characterization of compact operators on Ces?ro sequence spaces as an application of Hausdorff measure of noncompactness. Further, the norms of Ces?ro operators on certain spaces are investigated.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68270678","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
While there are many scientific manuscripts devoted to various details of the evolution of curves and their models, there are still many perspectives of the research subject that required comprehensive investigation. In particular, this manuscript is devoted to the search of a new class of time evolution equations of space curves written in the anholonomic coordinates. In this way, we have direct observation and access to form a new class of anholonomic surfaces induced by the given evolution systems. Thus, the proper representation of the evolution equations allows us to obtain useful characteristics of the corresponding evolution dynamics.
{"title":"Anholonomic surfaces via directional motion of curves","authors":"T. Korpinar, R. Demi̇rkol, Z. Korpinar","doi":"10.2298/fil2306777k","DOIUrl":"https://doi.org/10.2298/fil2306777k","url":null,"abstract":"While there are many scientific manuscripts devoted to various details of the evolution of curves and their models, there are still many perspectives of the research subject that required comprehensive investigation. In particular, this manuscript is devoted to the search of a new class of time evolution equations of space curves written in the anholonomic coordinates. In this way, we have direct observation and access to form a new class of anholonomic surfaces induced by the given evolution systems. Thus, the proper representation of the evolution equations allows us to obtain useful characteristics of the corresponding evolution dynamics.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68270941","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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