On Mann’s Type Method for Nonexpansive and Strongly Quasinonexpansive Mappings in Hilbert Spaces [PDF]
Journal of Function Spaces, 2015 In the setting of Hilbert spaces, we study Mann’s type method to approximate strong solutions of variational inequalities. We show that these solutions are fixed points of a nonexpansive mapping and/or a strongly quasinonexpansive mapping, depending on ...
Nawab Hussain +2 more
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The Split Common Fixed Point Problem for a Family of Multivalued Quasinonexpansive Mappings and Totally Asymptotically Strictly Pseudocontractive Mappings in Banach Spaces [PDF]
Mathematics, 2017 In this paper, we introduce an iterative algorithm for solving the split common fixed point problem for a family of multi-valued quasinonexpansive mappings and totally asymptotically strictly pseudocontractive mappings, as well as for a family of totally
Ali Abkar +2 more
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Convergence Theorems for Two Simultaneous Quasinonexpansive Mappings in Banach Spaces
Journal of MathematicsWe discuss the approximation method of finding a common fixed point of two certain mappings defined on a Banach space. This paper deals with three modes of convergence, namely, weak, strong, and △‐convergences in the presence of the uniform convexity of the norm.
Pongsakorn Yotkaew, Satit Saejung
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Generalized Enriched Nonexpansive Mappings and Their Fixed Point Theorems
Abstract and Applied Analysis, 2023 This paper introduces a novel category of nonlinear mappings and provides several theorems on their existence and convergence in Banach spaces, subject to various assumptions.
Rahul Shukla, Rekha Panicker
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Viscosity approximation process for a sequence of quasinonexpansive mappings [PDF]
Fixed Point Theory and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fumiaki Kohsaka
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A projection method for approximating fixed points of quasinonexpansive mappings in Hadamard spaces [PDF]
Fixed Point Theory and Applications, 2016 AbstractThis work is devoted to analyzing the feasibility study of a Moudafi viscosity projection method with a weak contraction for a finite family of quasinonexpansive mappings in a Hadamard space. To this end, we need to construct a countable family of nonexpansive mappings satisfying AKTT condition with a weak contraction by choosing an appropriate
Yasunori Kimura
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Convergence and stability of some iterative processes for a class of quasinonexpansive type mappings
Journal of Nonlinear Science and Applications, 2012 David Ariza-Ruiz
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Mathematics, 2022 The split feasibility problem (SFP) has many practical applications, which has attracted the attention of many authors. In this paper, we propose a different method to solve the SFP and the fixed-point problem involving quasi-nonexpansive mappings.
Yuanheng Wang +3 more
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Advances in Difference Equations, 2021 This paper deals with a split equality equilibrium problem for pseudomonotone bifunctions and a split equality hierarchical fixed point problem for nonexpansive and quasinonexpansive mappings.
Monairah Alansari
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On the Strong Convergence of Viscosity Approximation Process for Quasinonexpansive Mappings in Hilbert Spaces [PDF]
Abstract and Applied Analysis, 2011 We improve the viscosity approximation process for approximation of a fixed point of a quasi‐nonexpansive mapping in a Hilbert space proposed by Maingé (2010). An example beyond the scope of the previously known result is given.
Wongchan, Kanokwan, Saejung, Satit
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