Results 81 to 90 of about 8,017 (187)
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this article, we present new results addressing the fixed‐circle and fixed‐disc problems through modification of the multivalued bilateral Jaggi‐type and Dass–Gupta‐type contractions. Furthermore, we demonstrate the application of these theorems to the nonlinear activation mechanism used in neural networks.
Saima Kanwal +3 more
wiley +1 more source
On the Monotone Variational Inclusion Problems: A New Algorithm‐Based Modified Splitting Approach
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this paper, we introduce and analyze an inertial viscosity forward–backward splitting approach. We approximate a common solution of the monotone variational inclusion problem by using the demicontractive mapping in a real Hilbert space. It is shown that the sequence produced by our suggested algorithm has a strong convergence to a solution obtained ...
Uzoamaka A. Ezeafulukwe +6 more
wiley +1 more source
Best Proximity Points of Relatively Jaggi Nonexpansive Mappings in Busemann Convex Spaces
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this paper, we introduce cyclic (noncyclic) relatively Jaggi nonexpansive mappings on Busemann convex spaces and investigate the existence of their best proximity points (pairs). Furthermore, we extend the notation of relatively u‐continuous mappings in geodesic spaces and generalize an existence result of best proximity points from strictly convex ...
M. Gabeleh +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
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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
doaj +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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The Fixed Point Theory for Some Generalized Nonexpansive Mappings
Abstract and Applied Analysis, 2011 We study some aspects of the fixed point theory for a class of generalized nonexpansive mappings, which among others contain the class of generalized nonexpansive mappings recently defined by Suzuki in 2008.
Enrique Llorens Fuster +1 more
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Fixed point theorems for nonexpansive mappings [PDF]
Pacific Journal of Mathematics, 1972 The notions of nonexpansive, contractive, iteratively contractive and strictly contractive mappings have been generalized to a Hausdorff topological space whose topology is generated by a family of pseudometries . A fixed point theorem for strictly contractive mappings is obtained which generalizes the Banach's contractive mapping principle.
openaire +2 more sources
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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Convergence theorems of modified Ishikawa iterations in Banach spaces
Results in Nonlinear Analysis, 2019 In this paper, we introduce the modified iterations of Ishikawa type for nonexpansive mappings (nonexpansive semigroups) to have the strong convergence in a uniformlyconvex Banach space.
Shengquan Weng
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