an:06216195
Zbl 1273.54044
Berinde, Vasile; Vetro, Francesca
Common fixed points of mappings satisfying implicit contractive conditions
EN
Fixed Point Theory Appl. 2012, Paper No. 105, 8 p. (2012).
00323206
2012
j
54H25 54E40 54F05
implicit relation; contraction; coincidence point; fixed point; common fixed point
Summary: 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.