Abstract: The principal aim of this paper is to give sufficient conditions for solvability of a class of some nonlinear functional integral equations in the space of continuous functions defined on interval [0, a]. The main tool used in our study is associated with the technique of measures of noncompactness. We give also some examples satisfying the conditions of our main theorem but not satisfying the conditions in [8].
{"title":"On the solutions of a class of nonlinear functional integral equations in space C [0,a]","authors":"I. Özdemir, Ü. Çakan","doi":"10.7862/RF.2015.9","DOIUrl":"https://doi.org/10.7862/RF.2015.9","url":null,"abstract":"Abstract: The principal aim of this paper is to give sufficient conditions for solvability of a class of some nonlinear functional integral equations in the space of continuous functions defined on interval [0, a]. The main tool used in our study is associated with the technique of measures of noncompactness. We give also some examples satisfying the conditions of our main theorem but not satisfying the conditions in [8].","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114637752","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On Multiplicative (Generalized)-Derivations and Central Valued Conditions in Prime Rings","authors":"G. Sandhu, A. Ayran, Neşet Aydin","doi":"10.7862/rf.2021.7","DOIUrl":"https://doi.org/10.7862/rf.2021.7","url":null,"abstract":"","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126518328","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The paper presents recurrent formulae for efficient evaluation of all the integrals needed for solving static 3D potential and elasticity problems by the boundary elements method. The power-type asymptoties for the density at edges of the boundary are accounted for explicitly. AMS Subject Classification: 65M38, 33E05
{"title":"On efficient evaluation of integrals entering boundary equations of 3D potential and elasticity theory","authors":"L. Rybarska-Rusinek, Dawid Jaworski, A. Linkov","doi":"10.7862/RF.2014.8","DOIUrl":"https://doi.org/10.7862/RF.2014.8","url":null,"abstract":"The paper presents recurrent formulae for efficient evaluation of all the integrals needed for solving static 3D potential and elasticity problems by the boundary elements method. The power-type asymptoties for the density at edges of the boundary are accounted for explicitly. AMS Subject Classification: 65M38, 33E05","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126518806","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The concept of normed quasilinear spaces which is a generalization of normed linear spaces gives us a new opportunity to study with a similar approach to classical functional analysis. In this study, we introduce the notion of seminormed quasilinear space as a generalization of normed quasilinear spaces and give various auxiliary results and examples. We present an analog of Hahn-Banach theorem, in seminormed quasilinear spaces. AMS Subject Classification: 06B99, 32A70, 46A22, 46A99, 46B40, 47H04, 54F05.
{"title":"A Generalization of the Hahn-Banach Theorem in Seminormed Quasilinear Spaces","authors":"Sümeyye Çakan, Y. Yılmaz","doi":"10.7862/rf.2019.5","DOIUrl":"https://doi.org/10.7862/rf.2019.5","url":null,"abstract":"The concept of normed quasilinear spaces which is a generalization of normed linear spaces gives us a new opportunity to study with a similar approach to classical functional analysis. In this study, we introduce the notion of seminormed quasilinear space as a generalization of normed quasilinear spaces and give various auxiliary results and examples. We present an analog of Hahn-Banach theorem, in seminormed quasilinear spaces. AMS Subject Classification: 06B99, 32A70, 46A22, 46A99, 46B40, 47H04, 54F05.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131249996","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Using the technique associated with measure of noncompactness we prove the existence of monotonic solutions of a class of quadratic integral equation of Volterra type in the Banach space of real functions defined and continuous on a bounded and closed interval. AMS Subject Classification: 45D05, 45M20.
{"title":"The Existence of Monotonic Solutions of a Class of Quadratic Integral Equations of Volterra Type","authors":"Osman Karakurt, Ö. Temizer","doi":"10.7862/rf.2019.8","DOIUrl":"https://doi.org/10.7862/rf.2019.8","url":null,"abstract":"Using the technique associated with measure of noncompactness we prove the existence of monotonic solutions of a class of quadratic integral equation of Volterra type in the Banach space of real functions defined and continuous on a bounded and closed interval. AMS Subject Classification: 45D05, 45M20.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133099161","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Complete convergence under special hypotheses","authors":"G. Stoica","doi":"10.7862/RF.2012.8","DOIUrl":"https://doi.org/10.7862/RF.2012.8","url":null,"abstract":"We prove Baum-Katz type theorems along subsequences of random variables under Koml os-Saks and Mazur-Orlicz type bounded- ness hypotheses","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114982187","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper we prove FG-coupled fixed point theorems for Kannan, Reich and Chatterjea type mappings in partially ordered complete metric spaces using mixed monotone property. AMS Subject Classification: 47H10, 54F05.
{"title":"FG-coupled fixed point theorems for contractive type mappings in partially ordered metric spaces","authors":"Deepa Karichery, Shaini Pulickakunnel","doi":"10.7862/RF.2018.11","DOIUrl":"https://doi.org/10.7862/RF.2018.11","url":null,"abstract":"In this paper we prove FG-coupled fixed point theorems for Kannan, Reich and Chatterjea type mappings in partially ordered complete metric spaces using mixed monotone property. AMS Subject Classification: 47H10, 54F05.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"241 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114998454","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the zeros of an analytic function","authors":"V. K. Jain","doi":"10.7862/RF.2014.5","DOIUrl":"https://doi.org/10.7862/RF.2014.5","url":null,"abstract":"","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116016229","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we introduced the notion of generalized expansive mappings in dislocated cone metric spaces with Banach algebras. Furthermore, we prove some fixed point theorems for generalized expansive mappings in dislocated cone metric spaces with Banach algebras without the assumption of normality of cones. Moreover, we give an example to elucidate our result. Our results are significant extension and generalizations of many recent results in the literature. AMS Subject Classification: 47H10, 54H25.
{"title":"On Some Fixed Point Theorems for Expansive Mappings in Dislocated Cone Metric Spaces with Banach Algebras","authors":"Abba Auwalu, E. Hıncal, L. Mishra","doi":"10.7862/rf.2019.2","DOIUrl":"https://doi.org/10.7862/rf.2019.2","url":null,"abstract":"In this paper, we introduced the notion of generalized expansive mappings in dislocated cone metric spaces with Banach algebras. Furthermore, we prove some fixed point theorems for generalized expansive mappings in dislocated cone metric spaces with Banach algebras without the assumption of normality of cones. Moreover, we give an example to elucidate our result. Our results are significant extension and generalizations of many recent results in the literature. AMS Subject Classification: 47H10, 54H25.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126162522","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, certain subordination results on the con- volution of finite number of analytic functions are derived. Our results include a sufficiency condition for convexity of the convolution of analytic functions fi satisfying f '
{"title":"Certain subordination results on the convolution of analytic functions","authors":"P. Sharma, R. Maurya","doi":"10.7862/RF.2014.10","DOIUrl":"https://doi.org/10.7862/RF.2014.10","url":null,"abstract":"In this paper, certain subordination results on the con- volution of finite number of analytic functions are derived. Our results include a sufficiency condition for convexity of the convolution of analytic functions fi satisfying f '","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"1784 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129591891","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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