Title of article :
Using Implicit Relations to Prove Unified Fixed Point Theorems in Metric and 2-Metric Spaces
Author/Authors :
POPA, V University of Bacau - Department of Mathematics, Romania , IMDAD, M. Aligarh Muslim University - Department of Mathematics, India , ALI, JAVID Aligarh Muslim University - Department of Mathematics, India
Abstract :
The purpose of this paper is to prove some common fixed point theorems in metric and 2-metric spaces for two pairs of weakly compatible mappings satisfying an implicit relation which unify and generalize most of the existing relevant fixed point theorems. As an application of our main result, a Bryant type fixed point theorem is also derived besides furnishing two illustra- tive examples.
Keywords :
2 , metric spaces , xed point , weakly compatible mappingsand implicit relation.
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
