Optimal coincidence best approximation solution in non-Archimedean Fuzzy Metric Spaces
نویسندگان
1 Department of Mathematics and Applied Mathematics, University of Pretoria, Lynnwood road, Pretoria 0002, South Africa and Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
2 Department of Mathematics, National University of Computer and Emerging Sciences, Lahore - Pakistan
3 Department of Mathematics, National University of Computer and Emerging Sciences, Lahore - Pakistan
doi
10.22111/ijfs.2016.2433چکیده
In this paper, we introduce the concept of best proximal contraction theorems in non-Archimedean fuzzy metric space for two mappings and prove some proximal theorems. As a consequence, it provides the existence of an optimal approximate solution to some equations which contains no solution. The obtained results extend further the recently development proximal contractions in non-Archimedean fuzzy metric spaces and famous Banach contraction principle.