The fundamental goal of the proposed work is to present the concept of soft rectangular b-metric space by generalising the notions of rectangular metric space and b-metric space, as well as to examine certain basic and topological aspects of the underlying spaces. Also, fixed point theorems for maps satisfying essential criteria in space are established, which generalises well known results in fixed point theory. In addition, some congruous examples are provided to clarify the concept of said space structure.Mathematics Subject Classification: 47H10, 54H25.

The primary objective of the paper is to present the Banach contraction theorem in soft fuzzy metric spaces while taking into consideration a restriction on the soft fuzzy metric between the soft points of the absolute soft set. A new altering distance function, namely the Ψ-contraction function, is introduced on soft fuzzy metric spaces, and some fixed point results are proven by considering soft mappings that comprise Ψ-contraction with the continuity of soft t-norm. In addition to that, some illustrations are supplied for the support of the established soft fuzzy Banach contraction theorem and fixed point results over Ψ-contraction mappings. The obtained results generalize and extend some well-known results present in the literature on fixed point theory.