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.
Citation: Juan Rafael Acosta-Portilla, Lizbeth Yolanda Garrido-Ramírez. On minimal asymptotically nonexpansive mappings[J]. AIMS Mathematics, 2023, 8(4): 9416-9435. doi: 10.3934/math.2023474
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.
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Juan Rafael Acosta-Portilla, Lizbeth Yolanda Garrido-Ramírez. On minimal asymptotically nonexpansive mappings[J]. AIMS Mathematics, 2023, 8(4): 9416-9435. doi: 10.3934/math.2023474
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