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Title: | A viscosity iterative technique for equilibrium and fixed point problems in a Hadamard space |
Authors: | Izuchukwu, C Aremu, K. O Mebawondu, A. A Mewomo, O. T |
Keywords: | equilibrium problems; monotone bifunctions; variational inequalities; convex feasibility problems; minimization problems; viscosity iterations; CAT(0) space. |
Issue Date: | 2019 |
Publisher: | Appl. Gen. Topol |
Citation: | Izuchukwu, C., Aremu, K. O. Mebawondu A. A.and Mewomo, O. T.(2019). A viscosity iterative technique for equilibrium and fixed point problems in a Hadamard space. Appl. Gen. Topol. 20, no. 1 (2019), 193-210 doi:10.4995/agt.2019.10635 |
Series/Report no.: | 20;1 |
Abstract: | 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 functions. Strong convergence of the proposed algorithm to a common solution of a finite family of equilibrium problems and fixed point problems for a nonexpansive mapping is established in a Hadamard space. We further applied our results to solve some optimization problems in Hadamard spaces |
URI: | http://localhost:8080/xmlui/handle/123456789/298 |
Appears in Collections: | Mathematics |
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