Abstract
AbstractWe 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 $(\alpha ,\psi )$
(
α
,
ψ
)
-rational-type contractive mappings in generalized parametric metric spaces. As a consequence, we deduce fixed point theorems for $(\alpha , \psi )$
(
α
,
ψ
)
-rational-type contractive mappings in partially ordered rectangular generalized fuzzy metric spaces.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference32 articles.
1. Hussain, N., Khaleghizadeh, S., Salimi, P., Abdou, A.A.N.: A new approach to fixed point results in triangular intuitionistic fuzzy metric spaces. Abstr. Appl. Anal. 2014, Article ID 690139 (2014)
2. Hussain, N., Salimi, P., Parvaneh, V.: Fixed point results for various contractions in parametric and fuzzy b-metric spaces. J. Nonlinear Sci. Appl. 8, 719–739 (2015)
3. Tas, N., Ozgus, N.Y.: On parametric S-metric spaces and fixed point type theorems for expansive mappings. J. Math. 2016, Article ID 4746732 (2016)
4. Priyobarta, N., Rohen, Y., Radenovic, S.: Fixed point theorems on parametric A-metric space. Am. J. Appl. Math. Statistics 6(1), 1–5 (2018)
5. Branciari, A.: A fixed point theorem of Banach–Caccioppoli type on a class of generalized metric spaces. Publ. Math. (Debr.) 57, 31–37 (2000)
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