2019•DergiPark (Istanbul University)Open access

Convergence theorems of modified Ishikawa iterations in Banach spaces

Shengquan Weng

Abstract

In this paper, we introduce the modified iterations of Ishikawa type for nonexpansive mappings (nonexpansive semigroups) to have the strong convergence in a uniformlyconvex Banach space. We study approximation of common fixed point of nonexpansive mappings and nonexpansive semigroups in Banach space by using a new iterative scheme.

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Key concepts: Banach space, Mathematics, Regular polygon, Convergence (economics), Fixed point, Scheme (mathematics), Uniformly convex space, Pure mathematics