On minimal asymptotically nonexpansive mappings

被引：0

作者：

Acosta-Portilla, Juan Rafael ^{[1
]}

Garrido-Ramirez, Lizbeth Yolanda ^{[2
]}

机构：

[1] Univ Veracruzana, Inst Invest & Estudios Super Econ & Sociales, Xalapa, Veracruz, Mexico

[2] Univ Veracruzana, Fac Econ, Xalapa, Veracruz, Mexico

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 04期

关键词：

renorming; asymptotically nonexpansive mapping; lipschitzian mapping; nonexpansive mapping; FIXED-POINT PROPERTY;

D O I：

10.3934/math.2023474

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we present the following two results: 1.-A characterization of the renorming invariant family of asymptotically nonexpansive mappings defined on a convex, closed and bounded set of a Banach space; 2.-A comparison of the renorming invariant family of asymptotically nonexpansive mappings with the renorming invariant family of nonexpansive mappings. Additionally, a series of examples are shown for general and particular cases.

引用

页码：9416 / 9435

页数：20

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