Existence of Fixed Point Under Generalized Multivalued - -Contraction in Partial Metric Spaces | Zendy

Smita Negi | Zendy; Umesh Chandra Gairola | Zendy

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Existence 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

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.

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