@article { author = {Abbas, Mujahid and Saleem, N. and Sohail, K.}, title = {Optimal Coincidence Best Approximation Solution in b-fuzzy Metric Spaces}, journal = {Communications in Nonlinear Analysis}, volume = {6}, number = {1}, pages = {1-12}, year = {2019}, publisher = {Research & Science Group Ltd.}, issn = {2371-7920}, eissn = {2371-7920}, doi = {}, abstract = {In this paper, we prove the existence of optimal coincidence point and best proximity point in b-fuzzymetric space for two mappings satisfying certain contractive conditions and prove some proximal theoremswhich provide the existence of an optimal approximate solution to some operator equations which are notsolvable. We also provide an application to the fi xed point theory of our obtained results.}, keywords = {Fuzzy metric space,b-Fuzzy metric space,Optimal approximate solution,Fuzzy expansive,Fuzzy isometry,s-increasing sequence,t-norm}, url = {https://www.cna-journal.com/article_90157.html}, eprint = {https://www.cna-journal.com/article_90157_d4eeb16c7dc4c6f09c0f49ea79a9cfdd.pdf} }