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

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

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 equil...

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Bibliographic Details
Main Authors: C. Izuchukwu, K. O. Aremu, A. A. Mebawondu, O. T. Mewomo
Format: Article
Language:English
Published: Universitat Politècnica de València 2019-04-01
Series:Applied General Topology
Subjects:
equilibrium problems
monotone bifunctions
variational inequalities
convex feasibility problems
minimization problems
viscosity iterations
CAT(0) space
Online Access:https://polipapers.upv.es/index.php/AGT/article/view/10635
Description
Summary: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.
ISSN:1576-9402
1989-4147

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