On generalized metric spaces and generalized convex contractions


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	On generalized metric spaces and generalized convex contractions


	Fixed Point Theory, Volume 19, No. 2, 2018, 643-658, June 1st, 2018 DOI: 10.24193/fpt-ro.2018.2.51 Authors: Cece Li and Dong Zhang Abstract: In this paper, we study the generalized metric introduced by Branciari. We find an induced metric of the generalized metric, by which some new properties of the generalized metric are presented. As a main result, we generalize several generalized, unified and extended fixed point theorems on generalized convex contractions. Key Words and Phrases: Generalized metric, approximate fixed point, generalized convex contraction, α-admissible mapping. 2010 Mathematics Subject Classification: 47H10. Published on-line: June 1st, 2018. Abstract pdf Fulltext pdf Back to volume's table of contents