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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.

fixed point theory and applications

Some Combined Relations between Contractive Mappings, Kannan Mappings, Reasonable Expansive Mappings, and "Equation missing" -Stability

Some Combined Relations between Contractive Mappings, Kannan Mappings, Reasonable Expansive Mappings, and "Equation missing" -Stability