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2015•Kyoto University Research Information Repository (Kyoto University)Open access

STRONG CONVERGENCE THEOREMS FOR ASYMPTOTICALLY REGULAR NONEXPANSIVE SEMIGROUPS BY SOME ITERATIONS (Nonlinear Analysis and Convex Analysis)

幸子 厚芝

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Abstract

In this paper, we study Browder's iterations and Halpern's itera- tions for nonexpansive semigroups in Banach spaces.Then, we prove strong convergence theorems for uniformly asymptotically regular nonexpansive semi- groups in Banach spaces.2010 Mathematics Subject Classification.Primary $47H09,$ $47H10.

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In this paper, we study Browder's iterations and Halpern's itera- tions for nonexpansive semigroups in Banach spaces.Then, we prove strong convergence theorems for uniformly asymptotically regular nonexpansive semi- groups in Banach spaces.2010 Mathematics Subject Classification.Primary $47H09,$ $47H10.

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Available abstract

In this paper, we study Browder's iterations and Halpern's itera- tions for nonexpansive semigroups in Banach spaces.Then, we prove strong convergence theorems for uniformly asymptotically regular nonexpansive semi- groups in Banach spaces.2010 Mathematics Subject Classification.Primary $47H09,$ $47H10.

Key concepts: Mathematics, Regular polygon, Convergence (economics), Applied mathematics, Nonlinear system, Banach space, Pure mathematics, Convex analysis

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STRONG CONVERGENCE THEOREMS FOR ASYMPTOTICALLY REGULAR NONEXPANSIVE SEMIGROUPS BY SOME ITERATIONS (Nonlinear Analysis and Convex Analysis) — Research Paper | ScholarLens