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http://dx.doi.org/10.5831/HMJ.2018.40.1.13

A GENERAL COMMON FIXED POINT THEOREM FOR TWO PAIRS OF MAPPINGS IN METRIC SPACES  

Popa, Valeriu (Vasile Alecsandri University of Bacau)
Patriciu, Alina-Mihaela (Department of Mathematics and Computer Sciences, Faculty of Sciences and Environment, Dunarea de Jos University of Galati)
Publication Information
Honam Mathematical Journal / v.40, no.1, 2018 , pp. 13-25 More about this Journal
Abstract
In this paper a general fixed point theorem for two pairs of mappings involving altering distance is proved. This theorem generalizes Theorem 9 [5], Theorems 1, 2, 3 [6], Theorems 2.3, 2.4 [7] and other results from [11]. As applications, some results for mappings satisfying contractive conditions of integral type and ${\phi}$-contractive conditions are obtained.
Keywords
Fixed point; altering distance; implicit relation; compatible mappings; subcompatible mappings; subsequentially continuous mappings; reciprocally continuous function;
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