A note on a rational form contractions with discontinuities at fixed points



	A note on a rational form contractions with discontinuities at fixed points


	Fixed Point Theory, Volume 21, No. 1, 2020, 211-220, February 1st, 2020 DOI: 10.24193/fpt-ro.2020.1.15 Authors: E. Karapınar Abstract: In this paper, we investigate one of the classical problems of the metric fixed point theory: Whether there is a contraction condition which does not force the mapping to be continuous at the fixed point. We propose a contraction conditions in rational form that has a unique fixed point but not necessarily continuous at the given fixed point. Key Words and Phrases: Discontinuity, fixed point theorems, metric space. 2010 Mathematics Subject Classification: 47H10, 54H10, 54H25. Published on-line: February 1st, 2020. Abstract pdf Fulltext pdf Back to volume's table of contents