Results 41 to 50 of about 401 (140)
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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Rodé's theorem on common fixed points of semigroup of nonexpansive mappings in CAT(0) spaces
Fixed Point Theory and Applications, 2011 We extend Rodé's theorem on common fixed points of semigroups of nonexpansive mappings in Hilbert spaces to the CAT(0) space setting. 2000 Mathematics Subject Classification: 47H09; 47H10.
Anakkamatee Watcharapong +1 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In the present paper, we employ the notion of w‐distance to prove a large Kannan‐type contraction inequality in metric spaces. The notion of a coupled large Kannan contraction is introduced, and by using the Geraghty‐type control function, we derive fixed point results in metric spaces with and without partial order.
Priyam Chakraborty +4 more
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Orthogonal Stability of an Additive-Quadratic Functional Equation
Fixed Point Theory and Applications, 2011 Using the fixed point method and using the direct method, we prove the Hyers-Ulam stability of an orthogonally additive-quadratic functional equation in orthogonality spaces. (2010) Mathematics Subject Classification: Primary 39B55; 47H10; 39B52; 46H25.
Park Choonkil
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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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Journal of Mathematics, Volume 2026, Issue 1, 2026.This manuscript investigates certain fixed point outcomes for an extended almost weak contraction map in a metric space equipped with a locally transitive binary relation. The insights achieved here improve, broaden, solidify and advance a number of noteworthy findings.
Doaa Filali +6 more
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Another weak convergence theorems for accretive mappings in banach spaces
Fixed Point Theory and Applications, 2011 We present two weak convergence theorems for inverse strongly accretive mappings in Banach spaces, which are supplements to the recent result of Aoyama et al. [Fixed Point Theory Appl. (2006), Art. ID 35390, 13pp.]. 2000 MSC: 47H10; 47J25.
Saejung Satit +2 more
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On a functional equation that has the quadratic-multiplicative property
Open Mathematics, 2020 In this article, we obtain the general solution and prove the Hyers-Ulam stability of the following quadratic-multiplicative functional equation:ϕ(st−uv)+ϕ(sv+tu)=[ϕ(s)+ϕ(u)][ϕ(t)+ϕ(v)]\phi (st-uv)+\phi (sv+tu)={[}\phi (s)+\phi (u)]{[}\phi (t)+\phi (v ...
Park Choonkil +4 more
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Stability of common fixed points in uniform spaces
Fixed Point Theory and Applications, 2011 Stability results for a pair of sequences of mappings and their common fixed points in a Hausdorff uniform space using certain new notions of convergence are proved. The results obtained herein extend and unify several known results.
Singh Shyam +2 more
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Borsuk’s antipodal fixed points theorems for compact or condensing set-valued maps
Advances in Nonlinear Analysis, 2018 We give a generalized version of the well-known Borsuk’s antipodal fixed point theorem for a large class of antipodally approachable condensing or compact set-valued maps defined on closed subsets of locally convex topological vector spaces.
Altwaijry Najla +3 more
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