Discussion on α-Contractions and Related Fixed Point Theorems in Hausdorff b-Gauge Spaces

Muhammad Usman Ali; Fahim Ud Din

Discussion on α-Contractions and Related Fixed Point Theorems in Hausdorff b-Gauge Spaces

Authors

Muhammad Usman Ali
Fahim Ud Din

Keywords:

Gauge space, α-contraction, fixed point, nonlinear integral equation.

Abstract

In this paper, we have used the structure of b-gauge spaces to prove fixed point theorems for multivalued mappings in the lights of α-contraction. Towards the end, the validity of our results have been insured by discussing a possible application and example.

Key words and phrases. Gauge space, α-contraction, fixed point, nonlinear integral equation.

2000 Mathematics Subject Classification. 47H10, 54H25

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Published

2025-05-18

How to Cite

Muhammad Usman Ali, & Fahim Ud Din. (2025). Discussion on α-Contractions and Related Fixed Point Theorems in Hausdorff b-Gauge Spaces. Jordan Journal of Mathematics and Statistics, 10(3), 247–263. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/998