Some Combined Relations between Contractive Mappings, Kannan Mappings, Reasonable Expansive Mappings, and T-Stability
Copyright policy )Some Combined Relations between Contractive Mappings, Kannan Mappings, Reasonable Expansive Mappings, and T-Stability
In recent literature concerning fixed point theory for self-mappings T : X -> X in metric spaces (X,d), 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 T : X -> X can be referred to, for instance, as Kannan-mappings, reasonable expansive mappings, and Picard T-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
Ministerio de Educación (DPI 2009-07197); Gobierno Vasco (GIC07143-it-269-07, SAIOTEK S-PE08UN15)
Es reproducción del documento publicado en http://dx.doi.org/10.1155/2009/815637
T57-57.97, QA299.6-433, Applied mathematics. Quantitative methods, Fixed-point and coincidence theorems (topological aspects), Applied Mathematics, fixed points, GEOMETRY AND TOPOLOGY, nonexpansive mappings, strong convergence, MATHEMATICS, APPLIED, Geometry and Topology, spaces, Analysis
T57-57.97, QA299.6-433, Applied mathematics. Quantitative methods, Fixed-point and coincidence theorems (topological aspects), Applied Mathematics, fixed points, GEOMETRY AND TOPOLOGY, nonexpansive mappings, strong convergence, MATHEMATICS, APPLIED, Geometry and Topology, spaces, Analysis
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!