Title of article :
Optimal coincidence points of proximal quasi-contraction mappings in non-Archimedean fuzzy metric spaces
Author/Authors :
Raza ، Zahid - National University of Computer and Emerging Sciences , Saleem ، Naeem - National University of Computer and Emerging Sciences , Abbas ، Mujahid - University of Pretoria
Abstract :
The aim of this paper is to present fuzzy optimal coincidence point results of fuzzy proximal quasi contraction and generalized fuzzy proximal quasi contraction of type − 1 in the framework of complete non- Archimedean fuzzy metric space. Some examples are presented to support the results which are obtained here. These results also hold in fuzzy metric spaces when some mild assumption is added to the set in the domain of mappings which are involved here. Our results unify, extend and generalize various existing results in literature.
Keywords :
Fuzzy metric space , fuzzy proximal , quasi contractions , fuzzy expansive mapping , optimal coincidence best proximity point , t , norm.
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications