Some Combined Relations between Contractive Mappings, Kannan Mappings, Reasonable Expansive Mappings, and Open image in new window-StabilityReportar como inadecuado




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Fixed Point Theory and Applications

, 2009:815637

First Online: 27 September 2009Received: 13 May 2009Accepted: 31 August 2009

Abstract

In recent literature concerning fixed point theory for self-mappings Open image in new window in metric spaces Open image in new window, there are some new concepts which can be mutually related so that the inherent properties of each one might be combined for such self-mappings. Self-mappings Open image in new window can be referred to, for instance, as Kannan-mappings, reasonable expansive mappings, and Picard Open image in new window-stable mappings. Some relations between such concepts subject either to sufficient, necessary, or necessary and sufficient conditions are obtained so that in certain self-mappings can exhibit combined properties being inherent to each of its various characterizations.

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Autor: M. De la Sen

Fuente: https://link.springer.com/



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