A fixed point theorem for nonexpansive compact self-mapping
T. D. Narang · Annales Universitatis Mariae Curie-Sklodowska sectio A – Mathematica · 2014
Abstract A mapping T from a topological space X to a topological space Y is said to be compact if T(X) is contained in a compact subset of Y . The aim of this paper is to prove the existence of fixed points of a nonexpansive compact self-mapping defined on a closed subset having a contractive jointly continuous family when the underlying space is a metric space. The proved result generalizes and extends several known results on the subject