Author/Authors :
Manro، Saurabh نويسنده School of Mathematics and Computer Applications, Thapar University, Patiala(Punjab), India , , Bhatia، S. S. نويسنده School of Mathematics and Computer Applications, Thapar University, Patiala(Punjab), India , , Kumar، Sanjay نويسنده , , Kumam، Poom نويسنده Department of Mathematics, Faculty of Science, King Mongkuts University of Technology Thonburi (KMUTT), Bang Mod, Thung khru, Bangkok 10140, Thailand , , Dalal، Sumitra نويسنده Department of Mathematics, Faculty of Science, Jazan University, Saudi Arabia ,
Abstract :
The aim of this work is to use newly introduced property, which is so called "common limit in the range " for four self-mappings, and prove some theorems which satisfy this property. Moreover, we establish some new existence of a common fixed point theorem for generalized contractive mappings in fuzzy metric spaces by using this new property and give some examples to support our results. Ours results does not require condition of closeness of range and so our theorems generalize, unify, and extend many results in literature. Our results improve and extend the results of Cho et al. [4], Pathak et al. [20] and Imdad et. al. [10] besides several known results.