Abstract
We introduce the notion of generalized parametric metric spaces along with the study of its various properties. Further, we prove some new fixed point theorems for (alpha ,psi )-rational-type contractive mappings in generalized parametric metric spaces. As a consequence, we deduce fixed point theorems for (alpha , psi )-rational-type contractive mappings in partially ordered rectangular generalized fuzzy metric spaces.
Highlights
1 Introduction Hussain et al [1] gave the definition of parametric metric spaces
They studied the existence of fixed points for mappings under different contractions in such spaces
Suzuki [6] and others have pointed out that the topology of a generalized metric space has some drawbacks as a generalized metric need not be continuous, need not have a compatible topology, and in a generalized metric space, a convergent sequence may be a non-Cauchy sequence
Summary
Hussain et al [1] gave the definition of parametric metric spaces. They studied the existence of fixed points for mappings under different contractions in such spaces. Definition 1.4 Consider a sequence {ζn} in a generalized parametric metric space ( , Pm).
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