In this article we obtain, in the setting of metric spaces or ordered metric spaces, coincidence point, and common fixed point theorems for self-mappings in a general class of contractions defined by an implicit relation. Our results unify, extend, generalize many related common fixed point theorems from the literature.
Berinde, V., Vetro, F. (2012). Common fixed points of mappings satisfying implicit contractive conditions. FIXED POINT THEORY AND APPLICATIONS, 2012(1), 1-8 [10.1186/1687-1812-2012-105].
Common fixed points of mappings satisfying implicit contractive conditions
VETRO, Francesca
2012-01-01
Abstract
In this article we obtain, in the setting of metric spaces or ordered metric spaces, coincidence point, and common fixed point theorems for self-mappings in a general class of contractions defined by an implicit relation. Our results unify, extend, generalize many related common fixed point theorems from the literature.
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