Two fixed point results on <i>F</i>-metric spaces-Reference-Cited by-同舟云学术

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Two fixed point results on F-metric spaces

Published:2022-01-01 Issue:1 Volume:10 Page:61-67
ISSN:2299-3231
Container-title:Topological Algebra and its Applications
language:en
Short-container-title:

Author:

Altun Ishak¹,Erduran Ali¹

Affiliation:

1. Department of Mathematics, Faculty of Science and Arts , Kirikkale University , Yahsihan, Kirikkale , Turkey

Abstract

Abstract This paper presents two fixed point results for both single valued and multivalued mappings on F-metric spaces, which is introduced by Jleli and Samet [1]. First, we consider the concept of P-contraction for single valued mappings. Then using the Feng-Liu’s technique, we present a fixed point result for F-closed set valued mappings on F-metric spaces.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Geometry and Topology,Algebra and Number Theory

Link

https://www.degruyter.com/document/doi/10.1515/taa-2022-0114/pdf

Reference16 articles.

1. [1] M. Jleli, B. Samet, On a new generalization of metric spaces, J. Fixed Point Theory Appl., (2018), 20:128.

2. [2] S. Czerwik, Contraction mappings in b-metric spaces, Acta Math. Univ. Ostrav., (1993), 1 (1), 5-11.

3. [3] R. Fagin, R. Kumar, D. Sivakumar, Comparing top k list. SIAM J. Discret. Math., (2003), 17 (1), 134-160.

4. [4] Z. Mustafa, B. Sims, A new approach to generelized metric spaces, J. Nonlinear Convex Anal., (2006), 7 (2), 289-297.

5. [5] S.G. Mathews, Partial metric topology, In Proceedings of the 8th Summer Conference on General Topology and Applications, Annals of the Newyork Academy of Science, (1994), vol 728, pp 183-197.

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