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On Mixed Equilibrium Problems in Hadamard Spaces

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submitted on 2023-03-15, 11:52 and posted on 2023-07-13, 09:11 authored by Chinedu Izuchukwu, Kazeem Olalekan Aremu, Olawale Kazeem Oyewole, Oluwatosin Temitope Mewomo, Safeer Hussain Khan

The main purpose of this paper is to study mixed equilibrium problems in Hadamard spaces. First, we establish the existence of solution of the mixed equilibrium problem and the unique existence of the resolvent operator for the problem. We then prove a strong convergence of the resolvent and a Δ-convergence of the proximal point algorithm to a solution of the mixed equilibrium problem under some suitable conditions. Furthermore, we study the asymptotic behavior of the sequence generated by a Halperntype PPA. Finally, we give a numerical example in a nonlinear space setting to illustrate the applicability of our results. Our results extend and unify some related results in the literature. 

Other information

Published in: Journal of Mathematics
License: http://creativecommons.org/licenses/by/4.0
See article on publisher's website: http://dx.doi.org/10.1155/2019/3210649   

History

Language

  • English

Publisher

Hindawi

Publication Year

  • 2019

Institution affiliated with

  • Qatar University

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