Fixed Point Theorems in Rectangular b-Metric Space Endowed with a Partial Order-Reference-Cited by-同舟云学术

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Fixed Point Theorems in Rectangular b-Metric Space Endowed with a Partial Order

Published:2023-11-15 Issue:11 Volume:12 Page:1050
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Horvat-Marc Andrei¹^ORCID,Cufoian Mariana¹,Mitre Adriana¹,Taşcu Ioana¹^ORCID

Affiliation:

1. Department of Mathematics and Computer Science, North University Center at Baia Mare, Technical University of Cluj-Napoca, Victoriei 76, 430122 Baia Mare, Romania

Abstract

The purpose of this paper is to present some fixed-point results for self-generalized contractions in ordered rectangular b-metric spaces. We also provide some examples that illustrate the non-triviality and richness of this area of research.

Funder

Technical University of Cluj-Napoca

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/11/1050/pdf

Reference37 articles.

1. Browder, F. (1983). The Mathematical Heritage of Henri Poincare, American Mathematical Society.

2. Pata, V. (2019). Fixed Point Theorems and Applications, Springer.

3. The contraction principle for mappings on a metric space with a graph;Jachymski;Proc. Am. Math. Soc.,2007

4. Alfuraidan, M., Ansari, Q., Bachar, M., Berinde, V., Bin Dehaish, B., Fukhar-ud din, H., Khamsi, M., Khan, A., Maingé, P.E., and Abdellatif, M. (2016). Fixed Point Theory and Graph Theory—Foundations and Integrative Approaches, Academic Press.

5. Computation and convergence of fixed points in graphical spaces with an application to elastic beam deformations;Younis;J. Geom. Phys.,2023

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