Hybrid bregman projection methods for fixed point and equilibrium problems

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Publication Details

Author list: Wang Z.-M., Wei A., Kumam P.

Publisher: SINUS Association

Publication year: 2018

Volume number: 34

Issue number: 3

Start page: 441

End page: 447

Number of pages: 7

ISSN: 1584-2851

eISSN: 1584-2851

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85055010752&partnerID=40&md5=02ec2f7e6a0594a501cac18aa151f771

Languages: English-Great Britain (EN-GB)

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Abstract

The purpose of this article is to investigate a projection algorithm for solving a fixed point problem of a closed multi-valued Bregman quasi-strict pseudocontraction and an equilibrium problem of a bi-function. Strong convergence of the projection algorithm is obtained without any compact assumption in a reflexive Banach space. As applications, monotone variational inequality problems are considered. Finally, a numerical simulation example is presented for demonstrating the feasibility and convergence of the algorithm proposed in main result. ฉ 2018, SINUS Association. All rights reserved.

Keywords

Multi-valued mapping, Projection algorithm