Best proximity points of generalized α-ψ-Geraghty proximal contractions in generalized metric spaces



	Best proximity points of generalized α-ψ-Geraghty proximal contractions in generalized metric spaces


	Fixed Point Theory, Volume 25, No. 1, 2024, 15-30, February 1st, 2024 DOI: 10.24193/fpt-ro.2024.1.02 Authors: K. Amnuaykarn, P. Kumam, K. Sombut and J. Nantadilok Abstract: In this manuscript, we introduce the class of generalized α-ψ-Geraghty proximal contractions in the context of generalized metric spaces and set up some best proximity point results for these contractions. Our results extend, improve and generalize several existing results in the literature. Key Words and Phrases: Fixed point, best proximity point, Geraghty proximal contractions, generalized metric spaces. 2010 Mathematics Subject Classification: 47H10, 54H25. Published on-line: February 1st, 2024. Fulltext pdf Back to volume's table of contents