On minimal asymptotically nonexpansive mappings

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 mappin...

وصف كامل

التفاصيل البيبلوغرافية
الحاوية / القاعدة:AIMS Mathematics
المؤلفون الرئيسيون: Juan Rafael Acosta-Portilla, Lizbeth Yolanda Garrido-Ramírez
التنسيق: مقال
اللغة:الإنجليزية
منشور في: AIMS Press 2023-02-01
الموضوعات:
renorming
asymptotically nonexpansive mapping
lipschitzian mapping
nonexpansive mapping
الوصول للمادة أونلاين:https://www.aimspress.com/article/doi/10.3934/math.2023474?viewType=HTML
الوصف
الملخص: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.
تدمد:2473-6988

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