Stationary points of set-valued contractive and nonexpansive mappings on ultrametric spaces


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	Stationary points of set-valued contractive and nonexpansive mappings on ultrametric spaces


	Fixed Point Theory, Volume 19, No. 2, 2018, 587-594, June 1st, 2018 DOI: 10.24193/fpt-ro.2018.2.46 Authors: Meraj Hosseini, Kourosh Nourouzi and Donal O'Regan Abstract: In this paper we show that contractive set-valued mappings on spherically complete ultrametric spaces have stationary (or end) points if they have the approximate stationary point property. We also extend some known fixed point results to nonexpansive set-valued mappings. Key Words and Phrases: Stationary point, fixed point, approximate stationary point property, ultrametric spaces. 2010 Mathematics Subject Classification: 47H09, 54C60. Published on-line: June 1st, 2018. Abstract pdf Fulltext pdf Back to volume's table of contents