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Matkowski's type theorems for generalized contractions on (ordered) partial metric spaces

    1. [1] Universidad Politécnica de Valencia

      Universidad Politécnica de Valencia

      Valencia, España

  • Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 12, Nº. 2, 2011, págs. 213-220
  • Idioma: inglés
  • DOI: 10.4995/agt.2011.1653
  • Enlaces
  • Resumen
    • We obtain extensions of Matkowski's fixed point theorem for generalized contractions of Ciric's type on 0-complete partial metric spaces and on ordered 0-complete partial metric spaces, respectively.

  • Referencias bibliográficas
    • M. Abbas, I. Altun and S. Romaguera, Common fixed points of Ciric-type contractions on partial metric spaces, submitted.
    • M. Abbas, T. Nazir and S. Romaguera, Fixed point results for generalized cyclic contraction mappings in partial metric spaces, Revista de...
    • T. Abdeljawad, E. Karapinar and K. Tas, Existence and uniqueness of a common fixed point on partial metric spaces, Applied Mathematics Letters...
    • I. Altun and A. Erduran, Fixed point theorems for monotone mappings on partial metric spaces, Fixed Point Theory and Applications 2011 (2011),...
    • I. Altun, F. Sola and H. Simsek, Generalized contractions on partial metric spaces, Topology and its Applications 157 (2010), 2778–2785. http://dx.doi.org/10.1016/j.topol.2010.08.017
    • R. P. Agarwal, M. A. El-Gebeily and D. O’Regan, Generalized contractions in partially ordered metric spaces, Applicable Analysis 87 (2008),...
    • D.W. Boyd and J. S.W.Wong, On nonlinear contractions, Proceedings of the American Mathematical Society 20 (1969), 458-464. http://dx.doi.org/10.1090/S0002-9939-1969-0239559-9
    • L. Ciric, B. Samet, H. Aydi and C. Vetro, Common fixed points of generalized contractions on partial metric spaces and an application, Applied...
    • L. M. García-Raffi, S. Romaguera and M. P. Schellekens, Applications of the complexity space to the general probabilistic divide and conquer...
    • R. Heckmann, Approximation of metric spaces by partial metric spaces, Applied Categorical Structures 7 (1999), 71–83. http://dx.doi.org/10.1023/A:1008684018933
    • D. Ilic, V. Pavlovic and V. Rakocevíc, Some new extensions of Banach’s contraction principle to partial metric space, Applied Mathematics...
    • J. Jachymski, Equivalent conditions for generalized contractions on (ordered) metric spaces, Nonlinear Analysis TMA 74 (2011), 768–774. http://dx.doi.org/10.1016/j.na.2010.09.025
    • E. Karapinar and I. M. Erhan,Fixed point theorems for operators on partial metric spaces, Applied Mathematics Letters 24 (2011), 1894–1899....
    • S .G. Matthews, Partial metric topology, in: Procedings 8th Summer Conference on General Topology and Applications, Ann. New York Acad. Sci....
    • J. Matkowski, Integrable solutions of functional equations, Dissertationes Mathematicae 127 (1975), 1–68.
    • J. Matkowski, Fixed point theorems for mappings with a contractive iterate at a point, Proceedings of the American Mathematical Society 62...
    • D. O’Regan and A. Petru¸sel, Fixed point theorems for generalized contractions in ordered metric spaces, Journal of Mathematical Analysis...
    • S. Romaguera, A Kirk type characterization of completeness for partial metric spaces, Fixed Point Theory and Applications 2010 (2010), Article...
    • S. Romaguera, Fixed point theorems for generalized contractions on partial metric spaces, Topology and its Applications, to a [20] S. Romaguera...
    • S. Romaguera, M. P. Schellekens and O. Valero, Complexity spaces as quantitaitve domains of computation, Topology and its Applications 158...
    • S. Romaguera and O. Valero, A quantitative computational model for complete partial metric spaces via formal balls, Mathematical Structures...
    • M. Schellekens, The Smyth completion: A common foundation for denotational semantics and complexity analysis, Electronic Notes in Theoretical...
    • M.P. Schellekens, A characterization of partial metrizability. Domains are quantifiable, Theoretical Computer Science 305 (2003), 409–432.
    • P. Waszkiewicz, Quantitative continuous domains, Applied Categorical Structures 11 (2003), 41–67. http://dx.doi.org/10.1023/A:1023012924892
    • P. Waskiewicz, Partial metrisability of continuous posets, Mathematical Structures in Computer Science 16 (2006), 359–372.ppear, doi:10.1016/j.topol.2011.08.026.

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