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AuthorIzuchukwu, Chinedu
AuthorAremu, Kazeem Olalekan
AuthorOyewole, Olawale Kazeem
AuthorMewomo, Oluwatosin Temitope
AuthorKhan, Safeer Hussain
Available date2020-08-18T08:34:15Z
Publication Date2019
Publication NameJournal of Mathematics
ResourceScopus
ISSN23144629
URIhttp://dx.doi.org/10.1155/2019/3210649
URIhttp://hdl.handle.net/10576/15573
AbstractThe 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 ?-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 Halpern-type 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. - 2019 Chinedu Izuchukwu et al.
Sponsorledgments .e publication of this article was funded by the Qatar National Library. .e first and third authors acknowledge the bursary and financial support from Department of Science and Technology and National Research Foundation, Republic of South Africa Center of Excellence in Mathematical and Statistical Sciences (DST-NRF COE-MaSS) Doctoral Bursary. .e fourth author is supported in part by the National Research Foundation (NRF) of South Africa Incentive Funding for Rated Researchers (Grant Number
Languageen
PublisherHindawi Limited
SubjectNonexpansive Mapping
Fixed Point Problem
CAT(0) Space
TitleOn Mixed Equilibrium Problems in Hadamard Spaces
TypeArticle
Volume Number2019
dc.accessType Open Access


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