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2024 | OriginalPaper | Chapter

Fixed Point Theorems in Orthogonal F-Metric Spaces

Author : Vildan Ozturk

Published in: Mathematical Methods for Engineering Applications

Publisher: Springer Nature Switzerland

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Abstract

F-metric spaces are defined as a generalization of metric spaces with properties of nonnegativity, self-distance, symmetry and generalized triangular inequality. Moreover, notion of orthogonal F-metric spaces are introduced given by establishing a binary relation on the set. In this work, we give some properties of orthogonal relation on a set and some topological properties of orthogonal F-metric spaces. We introduce some rational type contractions in orthogonal F-metric spaces and prove fixed point theorems for this type contraction. Our results generalize the Jaggi and Ciric type contractions.

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Title: Fixed Point Theorems in Orthogonal F-Metric Spaces
Author: Vildan Ozturk
Publisher: Springer Nature Switzerland
Book: Mathematical Methods for Engineering Applications
Print ISBN: 978-3-031-49217-4

Electronic ISBN: 978-3-031-49218-1

Copyright Year: 2024
DOI: https://doi.org/10.1007/978-3-031-49218-1_13

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