APPROXIMATION OF ATTRACTIVE POINTS OF NONLINEAR MAPPINGS --COMMON ATTRACTIVE POINTS, COMMON ACUTE POINTS, COMMON FIXED POINTS AND CONVERGENCE THEOREMS-- (Nonlinear Analysis and Convex Analysis)

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Title:	APPROXIMATION OF ATTRACTIVE POINTS OF NONLINEAR MAPPINGS --COMMON ATTRACTIVE POINTS, COMMON ACUTE POINTS, COMMON FIXED POINTS AND CONVERGENCE THEOREMS-- (Nonlinear Analysis and Convex Analysis)
Authors:	Atsushiba, Sachiko
Author's alias:	厚芝, 幸子
Keywords:	47H09 47H10 Fixed point acute point iteration nonexpansive mapping nonexpansive semigroup strong convergence
Issue Date:	May-2019
Publisher:	京都大学数理解析研究所
Journal title:	数理解析研究所講究録
Volume:	2114
Start page:	103
End page:	110
Abstract:	In this paper, we study the concept of attractive points of nonlinear mappings. We also study the concept of acute points of nonlinear mappings, and the concept of common acute points of the families of nonlinear mappings. We prove weak and strong convergence theorems for a semigroup generated by k-pseudo-contractive mappings by using these concepts.
URI:	http://hdl.handle.net/2433/252042
Appears in Collections:	2114 Nonlinear Analysis and Convex Analysis