Shaini Pulickakunnel and Sreya Valiya Valappil Central University of Kerala, Central University of Kerala
Abstract : In this paper, some new fixed point theorems for condensing mappings are established based on a well known result of Petryshyn. We use several Leray-Schauder type conditions to prove new fixed point results. We also obtain generalizations of Altman's theorem and Petryshyn's theorem as well.
Keywords : condensing mappings, Leray-Schauder boundary condition, fixed point, Banach space
