Results 1 to 10 of about 7,631,600 (272)
Mann Type Implicit Iteration Approximation for Multivalued Mappings in Banach Spaces [PDF]
Fixed Point Theory and Applications, 2010 Let K be a nonempty compact convex subset of a uniformly convex Banach space E and let T be a multivalued nonexpansive mapping. For the implicit iterates x0∈K, xn=αnxn-1+(1-αn)yn, yn∈Txn, n≥1.
Huimin He, Sanyang Liu, Rudong Chen
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Abstract and Applied Analysis, 2022 In this paper, we consider a JS metric space endowed with convexity structure, which will allow us to examine and study convergence of Mann iteration and Ishikawa iteration for Banach type and Chatterjea type contractions defined on JS metric space.
Youness El Kouch, Jamal Mouline
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Zenali Iteration Method For Approximating Fixed Point of A δZA - Quasi Contractive mappings
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2021 This article will introduce a new iteration method called the zenali iteration method for the approximation of fixed points. We show that our iteration process is faster than the current leading iterations like Mann, Ishikawa, oor, D- iterations, and *-
Zena Hussein Maibed, Ali Qasem Thajil
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Pan-American Journal of Mathematics, 2022 The purpose of this article is to study an implicit iteration process for a finite family of α-hemicontractive mappings in Hilbert spaces. Our results extend and generalize the recent results of Husain et al. [12] and Diwan et al. [8] from the classes of
Oboyi Joseph +5 more
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A Weak Convergence Theorem for Common Fixed Points of Two Nonlinear Mappings in Hilbert Spaces
Abstract and Applied Analysis, 2022 In this paper, by using properties of attractive points, we study an iteration scheme combining simplified Baillon type and Mann type to find a common fixed point of commutative two nonlinear mappings in Hilbert spaces.
Takanori Ibaraki +2 more
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Mathematics, 2021 We propose two Mann-type subgradient-like extra gradient iterations with the line-search procedure for hierarchical variational inequality (HVI) with the common fixed-point problem (CFPP) constraint of finite family of nonexpansive mappings and an ...
Lu-Chuan Ceng +2 more
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An approximation of solutions of variational inequalities
Fixed Point Theory and Applications, 2005 We use a Mann-type iteration scheme and the metric projection operator (the nearest-point projection operator) to approximate the solutions of variational inequalities in uniformly convex and uniformly smooth Banach spaces.
B. E. Rhoades, Jinlu Li
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Weak and strong convergence of inertial algorithms for solving split common fixed point problems
Journal of Inequalities and Applications, 2021 In this paper, we propose two iterative schemes for approximating solutions of split common fixed point problems in multiple linear operators case. The first algorithm implements the Krasnosel’skiĭ–Mann iteration with an inertial effect for which the ...
Hong-Yi Chen
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Journal of Inequalities and Applications, 2023 In this paper, we propose new methods for finding a common solution to pseudomonotone and Lipschitz-type equilibrium problems, as well as a fixed-point problem for demicontractive mapping in real Hilbert spaces.
Bancha Panyanak +3 more
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Mathematics, 2022 In a real Hilbert space, let the CFPP, VIP, and HFPP denote the common fixed-point problem of countable nonexpansive operators and asymptotically nonexpansive operator, variational inequality problem, and hierarchical fixed point problem, respectively ...
Yun-Ling Cui +6 more
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