A strong convergence theorem for Bregman quasi-noexpansive mappings with applications

Eskandani, G. Zamani; Raeisi, M.; Kim, Jong Kyu

doi:10.1007/s13398-017-0481-9

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Cited by 6 publications

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“…Recently, numerical methods for the fixed point problems with BSNE mappings have been studied in various ways; see, e.g., [22,24,25] and the references therein. We say that a mapping S : C → C is Bregman quasi-nonexpansive (BQNE, for short) with respect to a nonempty fixed point set F(S) [26]…”

Section: Introductionmentioning

confidence: 99%

Approximation of fixed points for a semigroup of Bregman quasi-nonexpansive mappings in Banach spaces

2021

J. Nonlinear Var. Anal.

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The purpose of this paper is to study the iterative scheme of the Halpern type for a commutative semigroup J = {S λ : λ ∈ Q} of Bregman quasi-nonexpansive mappings on a closed and convex subset of a Banach space. A strong convergence theorem is established for finding a common fixed point solution. Our results extend and improve some related results in the current literature. In addition, we present numerical examples to illustrate the performance of our method in finite and infinite dimensional spaces.

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Section: Introductionmentioning

confidence: 99%

Approximation of fixed points for a semigroup of Bregman quasi-nonexpansive mappings in Banach spaces

2021

J. Nonlinear Var. Anal.

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Implicit iterative algorithms of the split common fixed point problem for Bregman quasi-nonexpansive mapping in Banach spaces

Wang

Pan

2022

Front. Math

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A hybrid extragradient method for solving pseudomonotone equilibrium problems using Bregman distance

Eskandani

Raeisi

Rassias

2018

J. Fixed Point Theory Appl.

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A strong convergence theorem for Bregman quasi-noexpansive mappings with applications

Cited by 6 publications

References 25 publications

Approximation of fixed points for a semigroup of Bregman quasi-nonexpansive mappings in Banach spaces

Approximation of fixed points for a semigroup of Bregman quasi-nonexpansive mappings in Banach spaces

Implicit iterative algorithms of the split common fixed point problem for Bregman quasi-nonexpansive mapping in Banach spaces

A hybrid extragradient method for solving pseudomonotone equilibrium problems using Bregman distance

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