An algorithm for finding a common point of the solution set of a variational inequality and the fixed point set of a Bregman relatively nonexpansive mapping

H. Zegeye; N. Shahzad

doi:10.1016/j.amc.2014.08.071

An algorithm for finding a common point of the solution set of a variational inequality and the fixed point set of a Bregman relatively nonexpansive mapping

H. Zegeye
, N. Shahzad

Mathematics & Statistical Sciences

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

In this paper, we investigate an iterative scheme for finding a common point of the solution set of a variational inequality and the fixed point set of a Bregman relatively nonexpansive mapping. Moreover, a numerical example which shows the conclusion of our result is presented. Our results improve and generalize many known results in the current literature.

Original language	English
Pages (from-to)	225-234
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	248
DOIs	https://doi.org/10.1016/j.amc.2014.08.071
Publication status	Published - Dec 1 2014

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2014.08.071

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AB - In this paper, we investigate an iterative scheme for finding a common point of the solution set of a variational inequality and the fixed point set of a Bregman relatively nonexpansive mapping. Moreover, a numerical example which shows the conclusion of our result is presented. Our results improve and generalize many known results in the current literature.

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An algorithm for finding a common point of the solution set of a variational inequality and the fixed point set of a Bregman relatively nonexpansive mapping

Abstract

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