Unified metrical common fixed point theorems in 2-metric spaces via an implicit relation

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Abstract

We prove some common fixed point theorems for two pairs of weakly compatible mappings in 2-metric spaces via an implicit relation. As an application to our main result, we derive Bryant's type generalized fixed point theorem for four finite families of self-mappings which can be utilized to derive common fixed point theorems involving any finite number of mappings. Our results improve and extend a host of previously known results. Moreover, we study the existence of solutions of a nonlinear integral equation.
Lingua originaleEnglish
pagine (da-a)1-11
Numero di pagine0
RivistaJOURNAL OF OPERATORS
Volume2013
Stato di pubblicazionePublished - 2013

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