Common fixed points of mappings satisfying implicit contractive conditions
Department of Mathematics and Computer Science, Faculty of Sciences, North University of Baia Mare, 430122 Baia Mare, Romania
Fixed Point Theory and Applications 2012, 2012:105 doi:10.1186/1687-1812-2012-105Published: 24 June 2012
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.
Mathematics Subject Classification (2000): 47H10, 54H25.