Fixed point results for various contractions in parametric and fuzzy b-metric spaces

By Nawab Hussain, Peyman Salimi, Vahid Parvaneh. 2015

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The notion of parametric metric spaces being a natural generalization of metric spaces was recently introduced and studied by Hussain et al. [A new approach to fixed point results in triangular intuitionistic fuzzy metric spaces, Abstract and Applied Analysis, Vol. 2014, Article ID 690139, 16 pp]. In this paper we introduce the concept of parametric b-metric space and investigate the existence of fixed points under various contractive conditions in such spaces. As applications, we derive some new fixed point results in triangular partially ordered fuzzy b-metric spaces. Moreover, some examples are provided here to illustrate the usability of the obtained results. c ©2015 All rights reserved.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/0c8987323e932c3f2ae1c2b0496b35fc024cfa52