Generalized Krasnoselskii fixed point theorem involving auxiliary functions in bimetric spaces and application to two-point boundary value problem

Abstract

Keywords: Bimetric space Fixed point Coincidence point Two-point boundary value problem a b s t r a c t In this paper, we introduce a generalized contraction of Krasnoselskii-type using auxiliary functions, and obtained some sufficient conditions for existence and uniqueness of fixed point for such mappings on bimetric spaces. We also establish a result on… (More)
DOI: 10.1016/j.amc.2014.09.096

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