1
Department of Mathematics, Ahmadu Bello University
2
Department of Mathematics, COMSATS University, Chak Shahzad, Islamabad,44000, Pakistan
10.30495/ijm2c.2021.684814
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.
Mohammed, S., Zia, I., Azam, A. (2021). On Fixed Point Results of L-Fuzzy Set-Valued Maps. International Journal of Mathematical Modelling & Computations, 11(2 (SPRING)), -. doi: 10.30495/ijm2c.2021.684814
MLA
Shehu Shagari Mohammed; Iqra Zia; Akbar Azam. "On Fixed Point Results of L-Fuzzy Set-Valued Maps". International Journal of Mathematical Modelling & Computations, 11, 2 (SPRING), 2021, -. doi: 10.30495/ijm2c.2021.684814
HARVARD
Mohammed, S., Zia, I., Azam, A. (2021). 'On Fixed Point Results of L-Fuzzy Set-Valued Maps', International Journal of Mathematical Modelling & Computations, 11(2 (SPRING)), pp. -. doi: 10.30495/ijm2c.2021.684814
VANCOUVER
Mohammed, S., Zia, I., Azam, A. On Fixed Point Results of L-Fuzzy Set-Valued Maps. International Journal of Mathematical Modelling & Computations, 2021; 11(2 (SPRING)): -. doi: 10.30495/ijm2c.2021.684814