Open AccessExistence of Fixed Point Under Generalized Multivalued - -Contraction in Partial Metric Spaces
Author(s) -
Smita Negi,
Umesh Chandra Gairola
Publication year - 2021
Publication title -
journal of mountain research/journal of mountain research
Language(s) - English
Resource type - Journals
eISSN - 2582-5011
pISSN - 0974-3030
DOI - 10.51220/jmr.v16i1.17
Subject(s) - fixed point theorem , mathematics , metric space , contraction (grammar) , fixed point , regular polygon , pure mathematics , binary relation , nonlinear system , contraction mapping , mathematical analysis , discrete mathematics , geometry , physics , medicine , quantum mechanics
In this paper, we introduce the notion of generalized multivalued - -contraction in partial metric space endowed with an arbitrary binary relation and establish a fixed point theorem for this contraction mapping. Our result extends and generalize the result of Wardowski (Fixed Point Theory Appl. 2012:94 (2012)), Alam and Imdad (J. Fixed Point Theory Appl. 17 (4) (2015), 693–702) and Altun et al. (J. Nonlinear Convex Anal. 28 (16) (2015), 659-666). Also, we give an example to validate our result.