6533b86dfe1ef96bd12c960a

RESEARCH PRODUCT

Common fixed points of mappings satisfying implicit contractive conditions

Francesca VetroVasile Berinde

subject

Discrete mathematicsimplicit relationApplied MathematicsFixed-point theoremcontractioncommon fixed pointFixed pointFixed-point propertyLeast fixed pointMetric spaceSchauder fixed point theoremcoincidence pointMathematics Subject Classificationfixed pointGeometry and TopologySettore MAT/03 - GeometriaCoincidence pointMathematics

description

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.

10.1186/1687-1812-2012-105http://hdl.handle.net/10447/73696