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Optimal coincidence best approximation solution in non-Archimedean Fuzzy Metric Spaces | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 9، دوره 13، شماره 3، شهریور 2016، صفحه 113-124 اصل مقاله (323.87 K) | ||
| نوع مقاله: Review Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2016.2433 | ||
| نویسندگان | ||
| Naeem Saleem* 1؛ Mujahid Abbas2؛ Zahid Raza1 | ||
| 1Department of Mathematics, National University of Computer and Emerging Sciences, Lahore - Pakistan | ||
| 2Department 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 | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Fuzzy metric space؛ Optimal approximate solution؛ Fuzzy proximal contraction؛ Fuzzy expansive؛ Fuzzy isometry؛ s-increasing sequence؛ t-norm | ||
| مراجع | ||
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