Solving Fredholm integral inclusion for L-fuzzy mappings

Abstract

The main focus of this paper is to solve the Fredholm integral inclusion for L-fuzzy mapping in the setting of complete b-metric spaces. To attain this target, we obtain some common L-fuzzy fixed point results for L-fuzzy mappings under F-contraction and derive the main results of Ahmad et al. [Fuzzy fixed points of fuzzy mappings via F-contractions and an applications, J. Intelligent Fuzzy Syst. 38 (2019), pp. 1–7] and Cosentino et al. [Solvability of integrodifferential problems via fixed point theory in b-metric spaces, Fixed Point Theor. Appl. 70 (2015), pp. 1–15]. To justify the notions and outcomes, we also demonstrate an appropriate example.

Keywords:

• Fixed point
• F-contractions
• multivalued mappings
• complete b-metric spaces

2010 Mathematics Subject Classifications:

• 46S40
• 47H10
• 54H25

Acknowledgments

This work was funded by the University of Jeddah, Saudi Arabia, under grant No. UJ-02-081-DR. The authors, therefore, acknowledge with thanks the University technical and financial support. Both authors have contributed in this paper equally. All authors read and approved the final paper.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was funded by the University of Jeddah, Saudi Arabia [grant number UJ-02-081-DR].