Hyers-Ulam stability of a nonautonomous semilinear equation with fractional diffusion
Demonstratio Mathematica, 2020 In this paper, we study the Hyers-Ulam stability of a nonautonomous semilinear reaction-diffusion equation. More precisely, we consider a nonautonomous parabolic equation with a diffusion given by the fractional Laplacian. We see that such a stability is
Villa-Morales José
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Fixed point Theorem for Interpolative Mappings in F-Mv-Metric Space with an Application
Topological Algebra and its Applications, 2022 The aim of this paper is to prove fixed point results for Interpolativemappings in F-Mv-metric spaces with an application which cannot be obtained from the corresponding results in metric spaces.
Wangwe Lucas
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Suzuki-type fixed point results in metric type spaces
, 2012 Suzuki’s fixed point results from (Suzuki, Proc. Am. Math. Soc. 136:1861-1869, 2008) and (Suzuki, Nonlinear Anal. 71:5313-5317, 2009) are extended to the case of metric type spaces and cone metric type spaces.
N. Hussain +3 more
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Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application
Open Mathematics, 2017 The purpose of this paper is to present some existence results for coupled fixed point of a (φ,ψ) —contractive condition for mixed monotone operators in metric spaces endowed with a directed graph.
Kir Mehmet +2 more
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Cyclic weak ϕ iterated function system
Topological Algebra and its Applications, 2022 In this article, we are considering the cyclic weak ϕ-contraction and prove that the result is also true in Hausdorff metric space. We are constructing a cyclic weak ϕ iterated function system (IFS), which gives the self-referential set or attractor ...
Ullah Kifayat, Katiyar S. K.
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Common fixed points of almost generalized (ψ,φ)s-contractive mappings in ordered b-metric spaces
, 2013 In this paper, we introduce the notion of almost generalized (ψ,φ)s-contractive mappings and we establish some fixed and common fixed point results for this class of mappings in ordered complete b-metric spaces.
Jamal Rezaei Roshan +4 more
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KKM and KY fan theorems in modular function spaces
Fixed Point Theory and Applications, 2011 In modular function spaces, we introduce Knaster-Kuratowski-Mazurkiewicz mappings (in short KKM-mappings) and prove an analogue to Ky Fan s fixed point theorem. 2010 Mathematics Subject Classification: Primary 46B20, 47H09; Secondary 47H10.
Latif Abdul +2 more
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A Halpern-type algorithm for a common solution of nonlinear problems in Banach spaces
Topological Algebra and its Applications, 2023 In this article, we propose a Halpern-type subgradient extragradient algorithm for solving a common element of the set of solutions of variational inequality problems for continuous monotone mappings and the set of f-fixed points of continuous f ...
Zegeye Habtu, Boikanyo Oganeditse A.
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An implicit algorithm for two finite families of nonexpansive maps in hyperbolic spaces
, 2012 In this article, we propose and analyze an implicit algorithm for two finite families of nonexpansive maps in hyperbolic spaces. Results concerning Δ-convergence as well as strong convergence of the proposed algorithm are proved.
A. Khan +2 more
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A minimax inequality and its applications to fixed point theorems in CAT(0) spaces
Fixed Point Theory and Applications, 2011 In this paper, a CAT(0) version of famous Fan's minimax inequality is established and as its application, we obtain some fixed point theorems and best approximation theorems in CAT(0) spaces. 2000 Mathematics Subject Classification: 47H10.
Shabanian S, Vaezpour SM
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