Results 71 to 80 of about 1,145 (179)
Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces
Fixed Point Theory and Applications, 2005 In 1979, Ishikawa proved a strong convergence theorem for finite families of nonexpansive mappings in general Banach spaces. Motivated by Ishikawa's result, we prove strong convergence theorems for infinite families of nonexpansive mappings.
Tomonari Suzuki
doaj +2 more sources
On directionally nonexpansive mappings
European Journal of MathematicsAbstractIn 2000, W.A. Kirk introduced the concept of directionally nonexpansive mappings. Here, we present a more comprehensive study of this class of mappings, including a fixed-point result for them. We further present a class of mappings, properly containing the directionally nonexpansive ones, for which Kirk’s theorem still holds.
openaire +1 more source
Journal of Mathematics, Volume 2025, Issue 1, 2025.This paper explores fixed point theory, focusing on (α‐ψ)‐contraction‐type operators defined on complete generalized metric spaces with an orthogonal direct sum structure. It establishes existence and uniqueness results under these extended contraction conditions.
Ghadah Albeladi +2 more
wiley +1 more source
Journal of Mathematics, Volume 2025, Issue 1, 2025.The purpose of this work is to investigate the approach to 3‐D column graphs in multiplicative generalized metric spaces (MGM‐spaces) utilizing single‐valued mappings with an application. In MGM‐space, we use weakly compatible four self‐mappings to prove common fixed point (CFP) results without requiring their continuity.
Saif Ur Rehman +6 more
wiley +1 more source
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, our goal is to prove the existence of a weak solution (in H01Ω) for a fully nonlinear Dirichlet problem with a nonmonotone (e.g., Lipschitz) convection function F that depends on ∇u, and a nonlinearity G that is not necessarily monotone and depends on the solution function u, and the higher order term is −ΔΓ(x, u) − diva(x, u, ∇u ...
Teffera M. Asfaw +3 more
wiley +1 more source
Fixed Point Theory and Applications, 2010 We prove strong convergence theorems for countable families of asymptotically nonexpansive mappings and semigroups in Hilbert spaces. Our results extend and improve the recent results of Nakajo and Takahashi (2003) and of Zegeye and Shahzad (2008) from ...
Kumam Poom, Wattanawitoon Kriengsak
doaj
About Some Families of Nonexpansive Mappings with respect to Renorming
Journal of Function Spaces, 2016 We characterize the family of nonexpansive mappings which are invariant under renormings and we also compare the families of nonexpansive mappings under two equivalent norms.
Juan Rafael Acosta-Portilla +2 more
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Convergences of Weighted Averaged Operators in p‐Uniformly Convex Metric Spaces
Journal of Mathematics, Volume 2025, Issue 1, 2025.This paper presents improvements to theorems concerning the △‐convergence of iterative sequences in p‐uniformly convex metric spaces. The analysis focuses on sequences generated by weighted average operators applied to pairs of simultaneous quasi‐nonexpansive mappings.
Anawat Rodchan +2 more
wiley +1 more source
Convergence of Infinite Products of Uniformly Locally Nonexpansive Mappings
MathematicsThe generic convergence of infinite products of nonexpansive mappings was established in a 1999 paper of ours. In the present paper, such results are extended to infinite products of uniformly locally nonexpansive mappings. In particular, the convergence
Simeon Reich, Alexander J. Zaslavski
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Journal of Applied Mathematics, 2012 We unify all known iterative methods by introducing a new explicit iterative scheme for approximation of common fixed points of finite families of total asymptotically I-nonexpansive mappings.
Farrukh Mukhamedov, Mansoor Saburov
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