Optimal Coincidence Best Approximation Solution in b-fuzzy Metric Spaces

Document Type : Original Article


1 Department of Mathematics, Government College University,Lahore 54000, Pakistan.

2 Department of Mathematics, University of Management and Technology, Lahore, Pakistan


In this paper, we prove the existence of optimal coincidence point and best proximity point in b-fuzzy
metric space for two mappings satisfying certain contractive conditions and prove some proximal theorems
which provide the existence of an optimal approximate solution to some operator equations which are not
solvable. We also provide an application to the fi xed point theory of our obtained results.


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