10.30495/ijm2c.2021.684814
On Fixed Point Results of L-Fuzzy Set-Valued Maps
- Shehu Shagari Mohammed*
1 - Iqra Zia2
- Akbar Azam2
- Department of Mathematics, Ahmadu Bello University
- Department of Mathematics, COMSATS University, Chak Shahzad, Islamabad,44000, Pakistan
Revised: 20-09-2020
Accepted: 30-04-2021
Published in Issue 20-06-2021
How to Cite
Mohammed, S. S., Zia, I., & Azam, A. (2021). On Fixed Point Results of L-Fuzzy Set-Valued Maps. International Journal of Mathematical Modelling & Computations, 11(2), 0-0. https://doi.org/10.30495/ijm2c.2021.684814
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Abstract
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.