Fixed points of discontinuous mappings in uniformly convex metric spaces


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	Fixed points of discontinuous mappings in uniformly convex metric spaces


	Fixed Point Theory, Volume 19, No. 1, 2018, 397-406, February 1st, 2018 DOI: 10.24193/fpt-ro.2018.1.31 Authors: Sami Atif Shukri, Vasile Berinde and Abdul Rahim Khan Abstract: Some fixed point theorems for discontinuous mappings in Banach spaces by Berinde and Păcurar [Fixed point theorems for non-self single-valued almost contractions, Fixed Point Theory 14 (2013), 301-311] and Kirk [Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type, Israel J. Math. 17 (1974), 339-346] are extended to uniformly convex metric spaces. Key Words and Phrases: Fixed points, hyperbolic metric space, uniformly convex metric space, asymptotically nonexpansive mapping, non-Lipschitzian mapping, non-self almost contractions. 2010 Mathematics Subject Classification: 47H09, 47H10, 46B20. Published on-line: February 1st, 2018. Abstract pdf Fulltext pdf Back to volume's table of contents