# 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)
• Accepted : 2017.12.14
• Published : 2018.03.25
• 154 7

#### 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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