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báo cáo hóa học:" Fixed point of generalized weakly contractive mappings in ordered partial metric spaces"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Fixed point of generalized weakly contractive mappings in ordered partial metric spaces | Abbas and Nazir Fixed Point Theory and Applications 2012 2012 1 http www.fixedpointtheoryandapplications.eom content 2012 1 1 Fixed Point Theory and Applications a SpringerOpen Journal RESEARCH Open Access Fixed point of generalized weakly contractive mappings in ordered partial metric spaces Mujahid Abbas and Talat Nazir Correspondence mujahid@lums. edu.pk Department of Mathematics Lahore University of Management Sciences 54792 Lahore Pakistan Springer Abstract In this article we prove some fixed point results for generalized weakly contractive mappings defined on a partial metric space. We provide some examples to validate our results. These results unify generalize and complement various known comparable results from the current literature. AMS Classification 2010 47H10 54H25 54E50. Keywords partial metric space weakly contractive condition nondecreasing map fixed point partially ordered set 1 Introduction and preliminaries In the past years the extension of the theory of fixed point to generalized structures as cone metrics partial metric spaces and quasi-metric spaces has received much attention see for instance 1-7 and references therein . Partial metric space is generalized metric space in which each object does not necessarily have to have a zero distance from itself 8 . A motivation behind introducing the concept of a partial metric was to obtain appropriate mathematical models in the theory of computation and in particular to give a modified version of the Banach contraction principle more suitable in this context 8 9 . Salvador and Schellekens 10 have shown that the dual complexity space can be modelled as stable partial monoids. Subsequently several authors studied the problem of existence and uniqueness of a fixed point for mappings satisfying different contractive conditions e.g. 1 2 11-18 . Existence of fixed points in ordered metric spaces has been initiated in 2004 by Ran and Reurings 19 and further studied by Nieto and Lopez 20 . Subsequently .