TY - JOUR ID - 90157 TI - Optimal Coincidence Best Approximation Solution in b-fuzzy Metric Spaces JO - Communications in Nonlinear Analysis JA - CNA LA - en SN - AU - Abbas, Mujahid AU - Saleem, N. AU - Sohail, K. AD - Department of Mathematics, Government College University,Lahore 54000, Pakistan. AD - Department of Mathematics, University of Management and Technology, Lahore, Pakistan Y1 - 2019 PY - 2019 VL - 6 IS - 1 SP - 1 EP - 12 KW - Fuzzy metric space KW - b-Fuzzy metric space KW - Optimal approximate solution KW - Fuzzy expansive KW - Fuzzy isometry KW - s-increasing sequence KW - t-norm DO - N2 - 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. UR - https://www.cna-journal.com/article_90157.html L1 - https://www.cna-journal.com/article_90157_d4eeb16c7dc4c6f09c0f49ea79a9cfdd.pdf ER -