. In this paper, a new viscosity approximation method with projections and Meir-Keeler contractive mappings (MK contractions) for solving a common fixed point problem of an infinite family of nonexpansive mappings and a split feasibility problem with a bounded linear mapping is introduce and investigated. A solution theorem of strong convergence is obtained in infinite dimensional spaces.
{"title":"Viscosity approximation with MK contractions for a common fixed point problem and a split feasibility problem","authors":"","doi":"10.23952/jnfa.2023.23","DOIUrl":"https://doi.org/10.23952/jnfa.2023.23","url":null,"abstract":". In this paper, a new viscosity approximation method with projections and Meir-Keeler contractive mappings (MK contractions) for solving a common fixed point problem of an infinite family of nonexpansive mappings and a split feasibility problem with a bounded linear mapping is introduce and investigated. A solution theorem of strong convergence is obtained in infinite dimensional spaces.","PeriodicalId":44514,"journal":{"name":"Journal of Nonlinear Functional Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136002645","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":"Global stability of multi-group epidemic model with distributed delays and indirect transmission","authors":"","doi":"10.23952/jnfa.2023.13","DOIUrl":"https://doi.org/10.23952/jnfa.2023.13","url":null,"abstract":"","PeriodicalId":44514,"journal":{"name":"Journal of Nonlinear Functional Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136002662","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 demonstrate the technique of iterations and generalize Riemann–Liouville fractional q -integrals involving Cauchy polynomials. We obtain the generalizations of Srivastava–Agarwal type generating functions by generalized fractional q -integrals involving Cauchy polynomials. Moreover, we also derive generating functions for Rajkovi ´ c–Marinkovi ´ c–Stankovi ´ c polynomials involving Cauchy polynomial by fractional q -integrals. At last, we deduce a generalization of Jackson’s transformation formula by fractional q -integrals involving Cauchy polynomials.
{"title":"Generalizations of fractional q-integrals involving Cauchy polynomials and some applications","authors":"","doi":"10.23952/jnfa.2023.12","DOIUrl":"https://doi.org/10.23952/jnfa.2023.12","url":null,"abstract":". In this paper, we demonstrate the technique of iterations and generalize Riemann–Liouville fractional q -integrals involving Cauchy polynomials. We obtain the generalizations of Srivastava–Agarwal type generating functions by generalized fractional q -integrals involving Cauchy polynomials. Moreover, we also derive generating functions for Rajkovi ´ c–Marinkovi ´ c–Stankovi ´ c polynomials involving Cauchy polynomial by fractional q -integrals. At last, we deduce a generalization of Jackson’s transformation formula by fractional q -integrals involving Cauchy polynomials.","PeriodicalId":44514,"journal":{"name":"Journal of Nonlinear Functional Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136002679","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":"A full-Newton step feasible interior-point algorithm based on a simple kernel function for $latex P_*(kappa)$-horizontal linear complementarity problem","authors":"","doi":"10.23952/jnfa.2023.1","DOIUrl":"https://doi.org/10.23952/jnfa.2023.1","url":null,"abstract":"","PeriodicalId":44514,"journal":{"name":"Journal of Nonlinear Functional Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136004432","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":"Lyapunov-type inequalities for fractional multi-point boundary value problems using a new generalized fractional derivative","authors":"","doi":"10.23952/jnfa.2023.28","DOIUrl":"https://doi.org/10.23952/jnfa.2023.28","url":null,"abstract":"","PeriodicalId":44514,"journal":{"name":"Journal of Nonlinear Functional Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136004439","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":"Common fixed point theorems of two finite families of asymptotically quasi-nonexpansive mappings in hyperbolic spaces","authors":"","doi":"10.23952/jnfa.2023.27","DOIUrl":"https://doi.org/10.23952/jnfa.2023.27","url":null,"abstract":"","PeriodicalId":44514,"journal":{"name":"Journal of Nonlinear Functional Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136004417","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":"Fixed point theorems for $(a,b,theta)$-enriched contractions","authors":"","doi":"10.23952/jnfa.2023.15","DOIUrl":"https://doi.org/10.23952/jnfa.2023.15","url":null,"abstract":"","PeriodicalId":44514,"journal":{"name":"Journal of Nonlinear Functional Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136004423","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 generalize an existing result regarding the existence of a Nash equilibrium for a system of fixed point equations. The problem is considered in a more general form and the initial conditions are also improved, without changing the final conclusion. This is achieved by combining the idea of a solution operator with monotone operator techniques and classical fixed point principles. An application to a coupled system with Dirichlet boundary conditions involving the p -Laplacian is provided.
{"title":"Nash equilibria for componentwise variational systems","authors":"","doi":"10.23952/jnfa.2023.6","DOIUrl":"https://doi.org/10.23952/jnfa.2023.6","url":null,"abstract":". In this paper, we generalize an existing result regarding the existence of a Nash equilibrium for a system of fixed point equations. The problem is considered in a more general form and the initial conditions are also improved, without changing the final conclusion. This is achieved by combining the idea of a solution operator with monotone operator techniques and classical fixed point principles. An application to a coupled system with Dirichlet boundary conditions involving the p -Laplacian is provided.","PeriodicalId":44514,"journal":{"name":"Journal of Nonlinear Functional Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136004424","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}
. Motivated by the Tseng’s extragradient method and the Moudafi’s viscosity method, a new hybrid inertial accelerated algorithm with the line search technique is proposed for solving fixed point problems of demimetric mappings and split variational inclusion problems. A strong convergence theorem is established under some mild conditions. Our proof is different with from those presented in the literatures. In addition, numerical results are reported to support the main results.
{"title":"A novel accelerated algorithm for solving split variational inclusion problems and fixed point problems","authors":"","doi":"10.23952/jnfa.2023.19","DOIUrl":"https://doi.org/10.23952/jnfa.2023.19","url":null,"abstract":". Motivated by the Tseng’s extragradient method and the Moudafi’s viscosity method, a new hybrid inertial accelerated algorithm with the line search technique is proposed for solving fixed point problems of demimetric mappings and split variational inclusion problems. A strong convergence theorem is established under some mild conditions. Our proof is different with from those presented in the literatures. In addition, numerical results are reported to support the main results.","PeriodicalId":44514,"journal":{"name":"Journal of Nonlinear Functional Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136002651","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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