Pub Date : 2021-02-23DOI: 10.22771/NFAA.2021.26.01.02
G. Saluja, J. K. Kim, W. H. Lim
Abstract. The aim of this paper is to establish common fixed point theorems under generalized ( ψ − φ )-weak contractions in the setting of complete S -metric spaces and we support our result by some examples. Also an application of our results, we obtain some fixed point theorems of integral type. Our results extend Theorem 2.1 and 2.2 of Doric [5], Theorem 2.1 of Dutta and Choudhury [6], and many other several results from the existing literature.
{"title":"COMMON FIXED POINT THEOREMS UNDER GENERALIZED (ψ-φ)-WEAK CONTRACTIONS IN S-METRIC SPACES WITH APPLICATIONS","authors":"G. Saluja, J. K. Kim, W. H. Lim","doi":"10.22771/NFAA.2021.26.01.02","DOIUrl":"https://doi.org/10.22771/NFAA.2021.26.01.02","url":null,"abstract":"Abstract. The aim of this paper is to establish common fixed point theorems under generalized ( ψ − φ )-weak contractions in the setting of complete S -metric spaces and we support our result by some examples. Also an application of our results, we obtain some fixed point theorems of integral type. Our results extend Theorem 2.1 and 2.2 of Doric [5], Theorem 2.1 of Dutta and Choudhury [6], and many other several results from the existing literature.","PeriodicalId":37534,"journal":{"name":"Nonlinear Functional Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45220323","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}
Pub Date : 2021-02-23DOI: 10.22771/NFAA.2021.26.01.01
Sajan Aggarwal, I. Uddin, N. Pakkaranang, N. Wairojjana, P. Cholamjiak
In this paper we study the weak and strong convergence to minimizers of convex function of proximal point algorithm SP-iteration of three multivalued nonexpansive mappings in a Hilbert space.
{"title":"CONVERGENCE THEOREMS OF PROXIMAL TYPE ALGORITHM FOR A CONVEX FUNCTION AND MULTIVALUED MAPPINGS IN HILBERT SPACES","authors":"Sajan Aggarwal, I. Uddin, N. Pakkaranang, N. Wairojjana, P. Cholamjiak","doi":"10.22771/NFAA.2021.26.01.01","DOIUrl":"https://doi.org/10.22771/NFAA.2021.26.01.01","url":null,"abstract":"In this paper we study the weak and strong convergence to minimizers of convex function of proximal point algorithm SP-iteration of three multivalued nonexpansive mappings in a Hilbert space.","PeriodicalId":37534,"journal":{"name":"Nonlinear Functional Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46373022","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}
Pub Date : 2021-02-23DOI: 10.22771/NFAA.2021.26.01.06
Guangchong Yang, Xia Chen, L. Xiao
This paper studies approximate solutions for a class of nonlinear diffusion population models. Our methods are to use the fundamental solution of heat equations to construct integral forms of the models and the well-known Banach compression map theorem to prove the existence of positive solutions of integral equations. Non-steady-state local approximate solutions for suitable harvest functions are obtained by utilizing the approximation theorem of multivariate continuous functions.
{"title":"LOCAL APPROXIMATE SOLUTIONS OF A CLASS OF NONLINEAR DIFFUSION POPULATION MODELS","authors":"Guangchong Yang, Xia Chen, L. Xiao","doi":"10.22771/NFAA.2021.26.01.06","DOIUrl":"https://doi.org/10.22771/NFAA.2021.26.01.06","url":null,"abstract":"This paper studies approximate solutions for a class of nonlinear diffusion population models. Our methods are to use the fundamental solution of heat equations to construct integral forms of the models and the well-known Banach compression map theorem to prove the existence of positive solutions of integral equations. Non-steady-state local approximate solutions for suitable harvest functions are obtained by utilizing the approximation theorem of multivariate continuous functions.","PeriodicalId":37534,"journal":{"name":"Nonlinear Functional Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46431035","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}
Pub Date : 2021-02-23DOI: 10.22771/NFAA.2021.26.01.04
G. Kim, M. Kim, G. Lee
We characterize the solution set for a second-order cone linear fractional optimization problem (P). We present sequential Lagrange multiplier characterizations of the solution set for the problem (P) in terms of sequential Lagrange multipliers of a known solution of (P).
{"title":"SOLUTION SETS OF SECOND-ORDER CONE LINEAR FRACTIONAL OPTIMIZATION PROBLEMS","authors":"G. Kim, M. Kim, G. Lee","doi":"10.22771/NFAA.2021.26.01.04","DOIUrl":"https://doi.org/10.22771/NFAA.2021.26.01.04","url":null,"abstract":"We characterize the solution set for a second-order cone linear fractional optimization problem (P). We present sequential Lagrange multiplier characterizations of the solution set for the problem (P) in terms of sequential Lagrange multipliers of a known solution of (P).","PeriodicalId":37534,"journal":{"name":"Nonlinear Functional Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44440217","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}
Pub Date : 2021-02-23DOI: 10.22771/NFAA.2021.26.01.08
B. B. Waphare, P. Pansare
Generalized pseudo-differential operators (PDO) involving fractional Fourier transform associate with the symbol a ( x, y ) whose derivatives satisfy certain growth condition is defined. The product of two generalized pseudo-differential operators is shown to be a generalized pseudo-differential operator.
{"title":"GENERALIZED PSEUDO-DIFFERENTIAL OPERATORS INVOLVING FRACTIONAL FOURIER TRANSFORM","authors":"B. B. Waphare, P. Pansare","doi":"10.22771/NFAA.2021.26.01.08","DOIUrl":"https://doi.org/10.22771/NFAA.2021.26.01.08","url":null,"abstract":"Generalized pseudo-differential operators (PDO) involving fractional Fourier transform associate with the symbol a ( x, y ) whose derivatives satisfy certain growth condition is defined. The product of two generalized pseudo-differential operators is shown to be a generalized pseudo-differential operator.","PeriodicalId":37534,"journal":{"name":"Nonlinear Functional Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49040545","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}
Pub Date : 2021-02-23DOI: 10.22771/NFAA.2021.26.01.09
G. A. Okeke, S. H. Khan, J. K. Kim
Our purpose in this paper is to introduce the concept of complex valued convex metric spaces and introduce an analogue of the Picard-Ishikawa hybrid iterative scheme, recently proposed by Okeke [24] in this new setting. We approximate (common) fixed points of certain contractive conditions through these two new concepts and obtain several corollaries. We prove that the Picard-Ishikawa hybrid iterative scheme [24] converges faster than all of Mann, Ishikawa and Noor [23] iterative schemes in complex valued convex metric spaces. Also, we give some numerical examples to validate our results.
{"title":"FIXED POINT THEOREMS IN COMPLEX VALUED CONVEX METRIC SPACES","authors":"G. A. Okeke, S. H. Khan, J. K. Kim","doi":"10.22771/NFAA.2021.26.01.09","DOIUrl":"https://doi.org/10.22771/NFAA.2021.26.01.09","url":null,"abstract":"Our purpose in this paper is to introduce the concept of complex valued convex metric spaces and introduce an analogue of the Picard-Ishikawa hybrid iterative scheme, recently proposed by Okeke [24] in this new setting. We approximate (common) fixed points of certain contractive conditions through these two new concepts and obtain several corollaries. We prove that the Picard-Ishikawa hybrid iterative scheme [24] converges faster than all of Mann, Ishikawa and Noor [23] iterative schemes in complex valued convex metric spaces. Also, we give some numerical examples to validate our results.","PeriodicalId":37534,"journal":{"name":"Nonlinear Functional Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45236182","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}
Pub Date : 2020-03-01DOI: 10.22771/NFAA.2020.25.01.05
A. H. Ansari, J. Nantadilok, M. Khan
. The purpose of this paper is to introduce a new generalized cyclic weak ( F, ψ, ϕ )-contraction based on the generalized weak ϕ -contraction which is proposed in [6], where F is a C -class function. Moreover, we obtain a corresponding best proximity point theorem for this cyclic mapping under certain condition. Our results obtained in this paper improve and extend previous known results in [6], as well as other results for cyclic contractions in the existing literature.
{"title":"Best proximity points of generalized cyclic weak (F, ψ, ϕ)-contractions in ordered metric spaces","authors":"A. H. Ansari, J. Nantadilok, M. Khan","doi":"10.22771/NFAA.2020.25.01.05","DOIUrl":"https://doi.org/10.22771/NFAA.2020.25.01.05","url":null,"abstract":". The purpose of this paper is to introduce a new generalized cyclic weak ( F, ψ, ϕ )-contraction based on the generalized weak ϕ -contraction which is proposed in [6], where F is a C -class function. Moreover, we obtain a corresponding best proximity point theorem for this cyclic mapping under certain condition. Our results obtained in this paper improve and extend previous known results in [6], as well as other results for cyclic contractions in the existing literature.","PeriodicalId":37534,"journal":{"name":"Nonlinear Functional Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47715699","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}
Pub Date : 2020-02-23DOI: 10.22771/NFAA.2020.25.01.01
M. Khan, M. Menaka, G. K. Jacob, M. Marudai
In this paper, the existence of proximity point for cyclic 2-convex contraction mappings, weakly cyclic 2-convex contraction mappings and M -weakly cyclic 2-convex contraction mappings are proved in the metric space setting. Our result is an natural general- ization to result discussed in Istraescu [6].
{"title":"PROXIMITY POINTS FOR CYCLIC 2-CONVEX CONTRACTION MAPPINGS","authors":"M. Khan, M. Menaka, G. K. Jacob, M. Marudai","doi":"10.22771/NFAA.2020.25.01.01","DOIUrl":"https://doi.org/10.22771/NFAA.2020.25.01.01","url":null,"abstract":"In this paper, the existence of proximity point for cyclic 2-convex contraction mappings, weakly cyclic 2-convex contraction mappings and M -weakly cyclic 2-convex contraction mappings are proved in the metric space setting. Our result is an natural general- ization to result discussed in Istraescu [6].","PeriodicalId":37534,"journal":{"name":"Nonlinear Functional Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49003101","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}
Pub Date : 2019-03-06DOI: 10.22771/NFAA.2019.24.01.12
G. Murugusundaramoorthy, N. Cho
In this paper we introduce a new class L^ λ_{ p, Σ} ( φ_ α ) of λ -pseudo bi-starlike functions in parabolic domain and determine the bounds for | a_ 2 | and | a_ 3 | where a_ 2 , a_ 3 are the initial Taylor coefficients of f ∈ L_ λ_{ p, Σ} ( φ_ α ) . Furthermore, we estimate the Fekete-Szego functional for L^ λ_{ p, Σ} ( φ_ α ).
{"title":"ON λ-PSEUDO BI-STARLIKE FUNCTIONS IN PARABOLIC DOMAIN","authors":"G. Murugusundaramoorthy, N. Cho","doi":"10.22771/NFAA.2019.24.01.12","DOIUrl":"https://doi.org/10.22771/NFAA.2019.24.01.12","url":null,"abstract":"In this paper we introduce a new class L^ λ_{ p, Σ} ( φ_ α ) of λ -pseudo bi-starlike functions in parabolic domain and determine the bounds for | a_ 2 | and | a_ 3 | where a_ 2 , a_ 3 are the initial Taylor coefficients of f ∈ L_ λ_{ p, Σ} ( φ_ α ) . Furthermore, we estimate the Fekete-Szego functional for L^ λ_{ p, Σ} ( φ_ α ).","PeriodicalId":37534,"journal":{"name":"Nonlinear Functional Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49618835","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}
Pub Date : 2019-01-01DOI: 10.1007/978-981-10-3725-2_16
A. H. Siddiqi
{"title":"Correction to: Functional Analysis and Applications","authors":"A. H. Siddiqi","doi":"10.1007/978-981-10-3725-2_16","DOIUrl":"https://doi.org/10.1007/978-981-10-3725-2_16","url":null,"abstract":"","PeriodicalId":37534,"journal":{"name":"Nonlinear Functional Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80137185","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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