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http://dx.doi.org/10.4134/CKMS.2016.31.1.139

FIXED POINT THEOREMS FOR CONDENSING MAPPINGS SATISFYING LERAY-SCHAUDER TYPE CONDITIONS

Pulickakunnel, Shaini (Central University of Kerala)
Valappil, Sreya Valiya (Central University of Kerala)

Publication Information

Communications of the Korean Mathematical Society / v.31, no.1, 2016 , pp. 139-145 More about this Journal

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;

Citations & Related Records

Reference

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