Generalization of Common Fixed Point Theorems for Two Mappings

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Two common fixed Point theorems for compatible mappings

Recently, Zhang and Song [Q. Zhang, Y. Song, Fixed point theory forgeneralized $varphi$-weak contractions,Appl. Math. Lett. 22(2009) 75-78] proved a common fixed point theorem for two mapssatisfying generalized $varphi$-weak contractions. In this paper, we prove a common fixed point theorem fora family of compatible maps. In fact, a new generalization of Zhangand Song's theorem is given.

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ژورنال

عنوان ژورنال: Turkish Journal of Analysis and Number Theory

سال: 2017

ISSN: 2333-1100

DOI: 10.12691/tjant-5-6-5