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MMN-598

Coupled fixed point theorems and applications to periodic boundary value problems

Abstract

In this paper we present some existence, uniqueness and Hyers-Ulam stability results for the coupled fixed point of a pair of contractive type operators on complete metric spaces. The approach is based on a Perov type fixed point theorem for contractions. Some applications to integral equations and to boundary value problems are also given.


Vol. 14 (2013), No. 1, pp. 323-333
DOI: 10.18514/MMN.2013.598


Download: MMN-598