On Mixed Equilibrium Problems in Hadamard Spaces
| Author | Izuchukwu, Chinedu |
| Author | Aremu, Kazeem Olalekan |
| Author | Oyewole, Olawale Kazeem |
| Author | Mewomo, Oluwatosin Temitope |
| Author | Khan, Safeer Hussain |
| Available date | 2020-08-18T08:34:15Z |
| Publication Date | 2019 |
| Publication Name | Journal of Mathematics |
| Resource | Scopus |
| ISSN | 23144629 |
| Abstract | 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 ?-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. |
| Sponsor | ledgments .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 |
| Language | en |
| Publisher | Hindawi Limited |
| Subject | Nonexpansive Mapping Fixed Point Problem CAT(0) Space |
| Type | Article |
| Volume Number | 2019 |
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Mathematics, Statistics & Physics [740 items ]