On some fixed point theorems for multivalued F-contractions in partial metric spaces-Reference-Cited by-同舟云学术

On some fixed point theorems for multivalued F-contractions in partial metric spaces

Published:2021-01-01 Issue:1 Volume:54 Page:151-161
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Kumar Santosh¹,Luambano Sholastica²

Affiliation:

1. Department of Mathematics, P. O. Box: 35062 College of Natural and Applied Sciences, University of Dar es Salaam , Dar es Salaam , Tanzania

2. Department of Mathematics, College of Natural and Mathematical Sciences, The University of Dodoma , Dodoma , Tanzania

Abstract

Abstract Altun et al. explored the existence of fixed points for multivalued

-contractions and proved some fixed point theorems in complete metric spaces. This paper extended the results of Altun et al. in partial metric spaces and proved fixed point theorems for multivalued

-contraction mappings. Some illustrative examples are provided to support our results. Moreover, an application for the existence of a solution of an integral equation is also enunciated, showing the materiality of the obtained results.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2021-0012/pdf

Reference21 articles.

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3. I. Altun , G. Minak , and H. Dag , Multivalued F -contractions on complete metric space, J. Nonlinear Convex Anal. 16 (2015), no. 4, 659–666.

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5. M. Younis , D. Singh , and A. Petrusel , Applications of graph Kannan mappings to the damped spring-mass system and deformation of an elastic beam, Discrete Dyn. Nat. Soc. 2019 (2019), 1315387, https://doi.org/10.1155/2019/1315387 .

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