A viscosity iterative technique for equilibrium and fixed point problems in a Hadamard space
DOI:
https://doi.org/10.4995/agt.2019.10635Keywords:
equilibrium problems, monotone bifunctions, variational inequalities, convex feasibility problems, minimization problems, viscosity iterations, CAT(0) spaceAbstract
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.
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