Results 1 to 10 of about 811 (109)
Abstract and Applied AnalysisMSC2010 Classification: Primary 47H10, 47H09, 47J05, 47J25 ...
Prashant Patel, Rahul Shukla
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Attouch-Théra Duality, Generalized Cycles, and Gap Vectors [PDF]
SIAM Journal on Optimization, 2021 Using the Attouch-Théra duality, we study the cycles, gap vectors and fixed point sets of compositions of proximal mappings. Sufficient conditions are given for the existence of cycles and gap vectors.
S. Alwadani +2 more
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European Journal of Theoretical and Applied Sciences, 2023 Let K be a nonexpansive retract of a uniformly convex Banach space X with retraction P. Let Ti: K → X (i= 1,...,m) be a finite family of uniformly continuous asymptotically nonexpansive in the intermediate sense maps with a nonempty common fixed points ...
A. Nnubia +2 more
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Dold sequences, periodic points, and dynamics
Bulletin of the London Mathematical Society, Volume 53, Issue 5, Page 1263-1298, October 2021., 2021 Abstract In this survey we describe how the so‐called Dold congruence arises in topology, and how it relates to periodic point counting in dynamical systems.
Jakub Byszewski +2 more
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Demonstratio Mathematica, 2021 In this paper, we introduce a shrinking projection method of an inertial type with self-adaptive step size for finding a common element of the set of solutions of a split generalized equilibrium problem and the set of common fixed points of a countable ...
Olona Musa A. +3 more
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Demonstratio Mathematica, 2023 In this article, weak and strong convergence theorems of the M-iteration method for 𝒢-nonexpansive mapping in a uniformly convex Banach space with a directed graph were established.
Chairatsiripong Chonjaroen +2 more
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Demonstratio Mathematica, 2022 The primary objective of this study is to develop two new proximal-type algorithms for solving equilibrium problems in real Hilbert space. Both new algorithms are analogous to the well-known two-step extragradient algorithm for solving the variational ...
Khunpanuk Chainarong +2 more
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On a version of hybrid existence result for a system of nonlinear equations
Advanced Nonlinear Studies, 2023 By combining monotonicity theory related to the parametric version of the Browder-Minty theorem with fixed point arguments, hybrid existence results for a system of two operator equations are obtained. Applications are given to a system of boundary value
Bełdziński Michał +2 more
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Generalized split null point of sum of monotone operators in Hilbert spaces
Demonstratio Mathematica, 2021 In this paper, we introduce a new type of a generalized split monotone variational inclusion (GSMVI) problem in the framework of real Hilbert spaces. By incorporating an inertial extrapolation method and an Halpern iterative technique, we establish a ...
Mebawondu Akindele A. +4 more
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Iterative methods for the split common fixed point problem in Hilbert spaces [PDF]
, 2014 The split common fixed point problem is an inverse problem that consists in finding an element in a fixed point set such that its image under a bounded linear operator belongs to another fixed point set.
Huanhuan Cui, Fenghui Wang
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