2012•Journal of Hebei Normal UniversityRequires access

A New Iterative Scheme on Generalized Equilibrium and Fixed Point Problems of Infinitely Nonexpansive Mappings

Peichao Duan

Abstract

A new iterative algorithm for finding a common element of the fixed point set of infinitely many nonexpansive mappings and the solution set of two generalized equilibrium problems with viscosity approximation method is introduced.Strong convergence theorems are established in the frame of Hilbert spaces,and the corresponding results are extended and improved.

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Key concepts: Fixed point, Mathematics, Hilbert space, Convergence (economics), Scheme (mathematics), Applied mathematics, Set (abstract data type), Iterative method