Generalized multivalued F-contraction on orthogonal metric space



	Generalized multivalued F-contraction on orthogonal metric space


	Fixed Point Theory, Volume 25, No. 1, 2024, 3-14, February 1st, 2024 DOI: 10.24193/fpt-ro.2024.1.01 Authors: Özlem Acar and Eşref Erdoğan Abstract: In this paper, we consider the notion of generalized multivalued F-contraction mappings and prove fixed point theorems for this type mappings. Also, we construct non-trivial example to validate the potential of our result. Finally, as application, we apply our corollary to show the existence of a unique solution of the first-order ordinary differential equation. Key Words and Phrases: Fixed point, F-contraction, orthogonal metric space 2010 Mathematics Subject Classification: 54H25, 47H10. Published on-line: February 1st, 2024. Fulltext pdf Back to volume's table of contents