On Fixed Point Results of L-Fuzzy Set-Valued Maps

International Journal of Mathematical Modelling & Computations

دوره 11، 2 (SPRING) - شماره پیاپی 42، شهریور 2021

نوع مقاله: Full Length Article

شناسه دیجیتال (DOI): 10.30495/ijm2c.2021.684814

نویسندگان

Shehu Shagari Mohammed^{* 1}؛ Iqra Zia²؛ Akbar Azam²

¹Department of Mathematics, Ahmadu Bello University

²Department of Mathematics, COMSATS University, Chak Shahzad, Islamabad,44000, Pakistan

چکیده

In this paper, two novel extensions of Banach and Meir-Keeler fixed point theorems for $L$-fuzzy set-valued map defined on a complete metric space are presented by using new general contractive conditions under suitable assumptions. In the case when the $L$-fuzzy set-valued map is reduced to its crisp counterparts, our obtained concepts herein generalize several significant fixed point theorems of point-to-point and point-to-set valued mappings in the comparable literature. We provide non-trivial examples to validate the hypotheses of our results.

کلیدواژه‌ها

Fuzzy set؛ L-fuzzy set؛ Fuzzy mapping؛ L-fuzzy mapping؛ Fixed point؛ Multivalued map