DOI: 10.24193/fpt-ro.2020.1.24

Authors: Godwin Chidi Ugwunadi, Imo Kalu Agwu, Chinedu Izuchukwu and Chibueze Christian Okeke

Abstract: The main purpose of this paper is to introduce and study some viscosity-type proximal point algorithms for approximating a common solution of monotone inclusion problem and fixed point problem. We obtained strong convergence of the proposed algorithms to a common solution of minimization problem and fixed point problem for a generalized asymptotically nonexpansive mapping which is also a unique solution of some variational inequality problems in Hadamard spaces. Our results extend and complement some recent results in this direction.

Key Words and Phrases: Generalize asymptotically nonexpansive mappings, monotone inclusions, fixed point, strong convergence, viscosity approximation, CAT(0) space.

2010 Mathematics Subject Classification: 4709, 47H10, 47J25.

Published on-line: February 1st, 2020.

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