2013•Advances in Fixed Point TheoryRequires access

THREE-STEP ITERATIVE SCHEME FOR APPROXIMATING FIXED POINTS OF MULTIVALUED NONEXPANSIVE MAPPINGS

Makbule Kaplan, Abdullah Kopuzlu

Abstract

In this paper, we introduce a new three-step iterative scheme to approximate a common fixed point of multivalued nonexpansive mappings in a uniformly convex real Banach space and establish strong and weak convergence theorems for the proposed process. Our results extend important results.

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Key concepts: Banach space, Mathematics, Fixed point, Scheme (mathematics), Convergence (economics), Regular polygon, Iterative and incremental development, Applied mathematics