On Mixed Equilibrium Problems in Hadamard Spaces
Joint Authors
Izuchukwu, Chinedu
Aremu, Kazeem Olalekan
Oyewole, Olawale Kazeem
Mewomo, Oluwatosin Temitope
Khan, Safeer Hussain
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-10-13
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
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 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.
American Psychological Association (APA)
Izuchukwu, Chinedu& Aremu, Kazeem Olalekan& Oyewole, Olawale Kazeem& Mewomo, Oluwatosin Temitope& Khan, Safeer Hussain. 2019. On Mixed Equilibrium Problems in Hadamard Spaces. Journal of Mathematics،Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1181372
Modern Language Association (MLA)
Izuchukwu, Chinedu…[et al.]. On Mixed Equilibrium Problems in Hadamard Spaces. Journal of Mathematics No. 2019 (2019), pp.1-13.
https://search.emarefa.net/detail/BIM-1181372
American Medical Association (AMA)
Izuchukwu, Chinedu& Aremu, Kazeem Olalekan& Oyewole, Olawale Kazeem& Mewomo, Oluwatosin Temitope& Khan, Safeer Hussain. On Mixed Equilibrium Problems in Hadamard Spaces. Journal of Mathematics. 2019. Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1181372
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1181372