Title: Convergence Theorem for Finite Family of Total Asymptotically Nonexpansive Mappings
Author(s): E.U. Ofoedu, Agatha Chizoba Nnubia
Pages: 96-113
Cite as:
E.U. Ofoedu, Agatha Chizoba Nnubia, Convergence Theorem for Finite Family of Total Asymptotically Nonexpansive Mappings, Int. J. Anal. Appl., 9 (2) (2015), 96-113.

Abstract


In this paper we introduce an explicit iteration process and prove strong convergence of the scheme in a real Hilbert space $H$ to the common fixed point of finite family of total asymptotically nonexpansive mappings which is nearest to the point $u \in H$.  Our results improve previously known ones obtained for the class of asymptotically nonexpansive mappings. As application, iterative method for: approximation of solution of variational Inequality problem, finite family of continuous pseudocontractive mappings, approximation of solutions of classical equilibrium problems and approximation of solutions of convex minimization problems are proposed. Our theorems unify and complement many recently announced results.

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