Research Scholar, Department of Mathematics, Govt. M.V.M, Bhopal, Madhya Pradesh, India
Online published on 06 December, 2025.
This paper explores fixed point theorems in Menger spaces, focusing on a range of mappings, including compatible, semi-compatible, sub-compatible, and weak commuting types, along with contraction mappings. The study extends to mappings of types α and β, providing generalised results that unify these concepts. The findings offer new insights into fixed point theory, with significant implications for mathematical modelling and optimisation.
Fixed Point Theorems, Menger Spaces, Compatible Mappings, Contraction Mappings
