A viscosity iterative technique for equilibrium and fixed point problems in a Hadamard space

Applied General Topology

O. T. Mewomo¹  C. Izuchukwu¹  K. O. Aremu¹  A. A. Mebawondu¹ 

[1] University of KwaZulu-Natal

关键词: equilibrium problems;    monotone bifunctions;    variational inequalities;    convex feasibility problems;    minimization problems;    viscosity iterations;    CAT(0) space;   

DOI  :  10.4995/agt.2019.10635

学科分类：几何与拓扑

来源: Open Journal Systems

【 摘 要 】

The main purpose of this paper is to introduce a viscosity-type proximal point algorithm, comprising of a nonexpansive mapping and a finite sum of resolvent operators associated with monotone bifunctions. A strong convergence of the proposed algorithm to a common solution of a finite family of equilibrium problems and fixed point problem for a nonexpansive mapping is established in a Hadamard space. We further applied our results to solve some optimization problems in Hadamard spaces.

【 授权许可】

CC BY-NC-ND