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Title: | A viscosity-type Proximal Point Algorithm for monotone Equilibrium Problem and Fixed Point Problem in an Hadamard Space |
Authors: | Aremu, K. O Izuchukwu, C Mebawondu, A. A Mewomo, O |
Keywords: | Equilibrium problems; monotone bifunctions; generalized nonspreading mappings; viscosity iterations; CAT(0) space |
Issue Date: | Mar-2020 |
Publisher: | Asian-European Journal of Mathematics |
Citation: | Aremu, Kazeem & Izuchukwu, Chinedu & Mebawondu, Akindele & Mewomo, Oluwatosin. (2020). A viscosity-type Proximal Point Algorithm for monotone Equilibrium Problem and Fixed Point Problem in an Hadamard Space. Asian-European Journal of Mathematics. 14. 10.1142/S1793557121500583. |
Series/Report no.: | 14;1 |
Abstract: | In this paper, we introduce a viscosity-type proximal point algorithm comprising of a finite composition of resolvents of monotone bifunctions and a generalized asymptotically nonspreading mapping recently introduced by Phuengrattana [Appl. Gen. Topol. 18 (2017) 117–129]. We establish a strong convergence result of the proposed algorithm to a common solution of a finite family of equilibrium problems and fixed point problem for a generalized asymptotically nonspreading and nonexpansive mappings, which is also a unique solution of some variational inequality problems in an Hadamard space. We apply our result to solve convex feasibility problem and to approximate a common solution of a finite family of minimization problems in an Hadamard space. |
URI: | http://localhost:8080/xmlui/handle/123456789/289 |
Appears in Collections: | Mathematics |
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