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Date Published: 10/08/2017
Online Published: 01/07/2023
Abstract Views: 46
Views PDF: 45
DOI: https://doi.org/10.52714/dthu.27.8.2017.493
Issue
No. 27 (2017): Part B - Natural Sciences
Section
Natural Sciences Issue (Vietnamese)
How to Cite
Truong, C. T., & Nguyen, T. H. (2023). Convergence of hybrid iteration for equilibrium problems and mappings satisfying condition (ø-Eµ) in uniformly convex and uniformly smooth banach spaces. Dong Thap University Journal of Science, 27, 67-75. https://doi.org/10.52714/dthu.27.8.2017.493

Convergence of hybrid iteration for equilibrium problems and mappings satisfying condition (ø-Eµ) in uniformly convex and uniformly smooth banach spaces

Cam Tien Truong1, Trung Hieu Nguyen2
1 Student, Dong Thap University
2 Dong Thap University

Main Article Content

Abstract

In this paper, we introduce the notion of a mapping satisfying condition (ø-Eµ) in smooth Banach spaces, and propose a hybrid iteration for finding a common element of the solution set of an equilibrium problem and the fixed point set of a mapping satisfying condition (ø-Eµ) and also establish the convergence of this iteration in uniformly convex and uniformly smooth Banach spaces. These results are the generations of the main ones in [2] from Hilbert spaces to uniformly convex and uniformly smooth Banach spaces. We also provide an illustrated example for the obtained result.

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Keywords

Hybrid iteration, equilibrium problem, mapping satisfying condition (ø-Eµ), uniformly convex and uniformly smooth Banach spaces

References

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