Fixed points of operators satisfying various contractive conditions in complete partial metric spaces


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	Fixed points of operators satisfying various contractive conditions in complete partial metric spaces


	Fixed Point Theory, Volume 20, No. 2, 2019, 451-468, June 1st, 2019 DOI: 10.24193/fpt-ro.2019.2.29 Authors: A.P. Baisnab, Pratulananda Das and Sumana Pal Abstract: In this paper, we give a generalized definition of diameter of a set in a partial metric space and as a consequence, a Cantor's Intersection like Theorem for partial metric spaces follows. We apply this theorem to study some fixed point results for generalized contractive type mappings over a complete partial metric space and also give some results on continuity of fixed points and simultaneous fixed point. Key Words and Phrases: Partial metric spaces, fixed points, p-diameter of a set, upper/ lower semi-continuous functions. 2010 Mathematics Subject Classification: 47H10, 54H25. Published on-line: June 1st, 2019. Abstract pdf Fulltext pdf Back to volume's table of contents