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On Mixed Equilibrium Problems in Hadamard Spaces

Author

Listed:
  • Chinedu Izuchukwu
  • Kazeem Olalekan Aremu
  • Olawale Kazeem Oyewole
  • Oluwatosin Temitope Mewomo
  • Safeer Hussain Khan

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.

Suggested Citation

  • Chinedu Izuchukwu & Kazeem Olalekan Aremu & Olawale Kazeem Oyewole & Oluwatosin Temitope Mewomo & Safeer Hussain Khan, 2019. "On Mixed Equilibrium Problems in Hadamard Spaces," Journal of Mathematics, Hindawi, vol. 2019, pages 1-13, October.
    • Handle: RePEc:hin:jjmath:3210649
    DOI: 10.1155/2019/3210649
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