Fixed points, multi-valued uniformly Lipschitzian mappings and uniform normal structure


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	Fixed points, multi-valued uniformly Lipschitzian mappings and uniform normal structure


	Fixed Point Theory, Volume 20, No. 1, 2019, 195-202, February 1st, 2019 DOI: 10.24193/fpt-ro.2019.1.12 Authors: Jarosław Górnicki Abstract: Khamsi and Kirk [11] gave the definition of multi-valued uniformly Lipschitzian mappings via generalized orbits. We will prove a fixed point theorem in metric spaces with uniform normal structure which extends Lim and Xu’s theorems [13] to multi-valued uniformly Lipschitzian mappings. We also give a fixed point result for multi-valued uniformly Lipschitzian mappings in hyperconvex spaces. Key Words and Phrases: Fixed point, convexity structure, multi-valued mapping, normal structure coefficient, uniform normal structure. 2010 Mathematics Subject Classification: 47H10, 46B20. Published on-line: February 1st, 2019. Abstract pdf Fulltext pdf Back to volume's table of contents