Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
qr-code QR
Code

Article

HOME ALL ARTICLES View

Commun. Korean Math. Soc. 2016; 31(1): 139-145

Printed January 31, 2016

https://doi.org/10.4134/CKMS.2016.31.1.139

Copyright © The Korean Mathematical Society.

Fixed point theorems for condensing mappings satisfying Leray-Schauder type conditions

Shaini Pulickakunnel and Sreya Valiya Valappil

Central University of Kerala, Central University of Kerala

Abstract

Go to

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

MSC numbers: 47H08, 47H10

Article Tools

Stats or Metrics

Share this article on :

Related articles in CKMS

more +