On fixed point theory in partial metric spaces-Reference-Cited by-同舟云学术

On fixed point theory in partial metric spaces

Published:2012-10-11 Issue:1 Volume:2012 Page:
ISSN:1687-1812
Container-title:Fixed Point Theory and Applications
language:en
Short-container-title:Fixed Point Theory Appl

Author:

Alghamdi Maryam A,Shahzad Naseer,Valero Oscar

Abstract

Abstract In this paper, we continue the study of contractive conditions for mappings in complete partial metric spaces. Concretely, we present fixed point results for weakly contractive and weakly Kannan mappings in such a way that the classical metric counterpart results are retrieved as a particular case. Special attention to the cyclical case is paid. Moreover, the well-posedness of the fixed point problem associated to weakly (cyclic) contractive and weakly (cyclic) Kannan mappings is discussed, and it is shown that these contractive mappings are both good Picard operators and special good Picard operators.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology

Link

https://link.springer.com/content/pdf/10.1186/1687-1812-2012-175.pdf

Reference49 articles.

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2. Kirk WA, Srinivasan PS, Veeramani P: Fixed points for mappings satisfying cyclical contractive conditions. Fixed Point Theory 2003, 4: 79–89.

3. Petric, MA: Fixed points and best proximity points theorems for cyclical contractive operators. PhD thesis, North University of Baia Mare, Baia Mare (2011)

4. Petric MA, Zlatanov BG: Fixed points theorems of Kannan type for cyclical contractive conditions. Proc. of the Anniversary International Conference REMIA 2010 2010, 187–194.

5. Matthews SG: Partial metric topology. Ann. N.Y. Acad. Sci. 1994, 728: 183–197. 10.1111/j.1749-6632.1994.tb44144.x

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