Fixed point approximations of noncommutative generic 2-generalized Bregman nonspreading mappings with equilibriums

Volume 13, Issue 6, pp 303--316 http://dx.doi.org/10.22436/jnsa.013.06.01

Publication Date: March 29, 2020 Submission Date: December 18, 2019 Revision Date: December 18, 2019 Accteptance Date: February 10, 2020

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Authors

Bashir Ali - Department of Mathematical Sciences, Bayero University, Kano, Nigeria. Lawal Yusuf Haruna - Department of Mathematical Sciences, Kaduna State University, Kaduna, Nigeria.

Abstract

In this paper, a Halpern type iterative scheme for finding a common element in the set of fixed points of generic 2-generalized Bregman nonspreading mappings and the solution set of equilibrium problem have been proposed. We also prove that the sequence generated by the scheme converges strongly to the element in a real reflexive Banach space. Our results improve and generalize some announced results in the literature.

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Keywords

• invex set
• normally 2-generalized hybrid mapping
• fixed point
• generic 2-generalized Bregman nonspreading mapping
• equilibrium problem

MSC

•  47H09
•  47H10
•  47J25

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