Existence and Uniqueness of Fixed Point Results Using Compatible Maps of Type (K) in Generalized Fuzzy Metric Spaces
Manjeet Rathee *
Department of Physical Sciences - Mathematics, Baba Mastnath University, Asthal Bohar, Rohtak- 124021, Haryana, India.
Ranbir Singh
Department of Physical Sciences - Mathematics, Baba Mastnath University, Asthal Bohar, Rohtak- 124021, Haryana, India.
*Author to whom correspondence should be addressed.
Abstract
In this manuscript, we state the notion compatible mappings of type (K) in generalized fuzzy metric spaces (M-FMS) and by considering compatible self-maps of type (K) we established some common fixed-point (FP) results in generalized fuzzy metric spaces. These results enhance some of the previous theorems in the literature. Additionally, some examples are also demonstrated.
Keywords: Common fixed point, fuzzy metric space, compatible maps of type (K), M-FMS