Existence of best proximity points for set-valued cyclic Meir


	Open access
	Existence of best proximity points for set-valued cyclic Meir–Keeler contractions


	Fixed Point Theory, Volume 19, No. 1, 2018, 211-218, February 1st, 2018 DOI: 10.24193/fpt-ro.2018.1.16 Authors: Majid Fakhar, Zeinab Soltani and Jafar Zafarani Abstract: In this paper the concept of set-valued cyclic Meir–Keeler contraction map is introduced. The existence of best proximity point for such maps on a metric space with the UC property is presented. Key Words and Phrases: Best proximity point, property UC, set-valued cyclic Meir-Keeler contraction map. 2010 Mathematics Subject Classification: 47H10, 54H25, 54C60. Published on-line: February 1st, 2018. Abstract pdf Fulltext pdf Back to volume's table of contents