A fixed point theorem for Caristi-type cyclic mappings


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	A fixed point theorem for Caristi-type cyclic mappings


	Fixed Point Theory, Volume 18, No. 2, 2017, 481-492, June 1st, 2017 DOI: 10.24193/fpt-ro.2017.2.38 Authors: Narongsuk Boonsri and Satit Saejung Abstract: We discuss two results for Caristi-type cyclic mappings due to Du and Karapinar [3]. We show that they can be deduced from our best proximity point theorem. Our result can be regarded as a generalized result of a fixed point theorem proved by Bollenbacher and Hicks [1] in the setting of cyclic mappings. Key Words and Phrases: Best proximity point, fixed point, Caristi-type cyclic mapping, orbitally lower semicontinuity. 2010 Mathematics Subject Classification: 47H09, 47H10, 54E50. Published on-line: June 1st, 2017. Abstract pdf Fulltext pdf Back to volume's table of contents