On common fixed point theorems of 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: Proceedings of the Japan Academy, Series A, Mathematical Sciences

سال: 1974

ISSN: 0386-2194

DOI: 10.3792/pja/1195518910