COMMON FIXED POINTS OF PRESIC TYPE CONTRACTION MAPPINGS IN PARTIAL METRIC SPACES

Authors

  • T. Nazir Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad 22060, Pakistan
  • M. Abbas Department of Mathematics and Applied Mathematics, University of Pretoria, Lynnwood Road, Pretoria 0002, South Africa

Abstract

Presic (Publ. de L'Inst. Math. Belgrade, 5 (19), 75-78) introduced the concept of a kth-order Banach type contraction mapping and obtained fixed point of such mappings on metric spaces. Ciric and Presic (Acta Math. Univ. Comenian. LXXVI (2) (2007), 143-147) extended the notion to kth-order Ciric type contraction mappings on a metric space. On the other hand, Matthews (Ann. New York Acad. Sci. 728 (1994), 183-197) introduced the concept of a partial metric as a part of the study of denotational semantics of dataflow networks. He gave a modified version of the Banach contraction principle, more suitable in this context. In this paper, we study the common fixed points of kth-order Presic type contractions in the framework of partial metric spaces. We also present an example to validate our result.

Author Biography

T. Nazir, Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad 22060, Pakistan

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Published

2013-12-16

How to Cite

Nazir, T., & Abbas, M. (2013). COMMON FIXED POINTS OF PRESIC TYPE CONTRACTION MAPPINGS IN PARTIAL METRIC SPACES. Journal of Nonlinear Analysis and Optimization: Theory & Applications, 5(1), 49-55. Retrieved from http://www.math.sci.nu.ac.th/ojs302/index.php/jnao/article/view/308

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Section

Research Article