Fixed points for generalized weakly contractive mappings in partial metric spaces. (English) Zbl 1237.54038

Abdeljawad, Thabet

Math. Comput. Modelling 54, No. 11-12, 2923-2927 (2011).

Summary: Partial metric spaces were introduced by S. G. Matthews in [Ann. N. Y. Acad. Sci. 728, 183–197 (1994; Zbl 0911.54025)] as a part of the study of denotational semantics of dataflow networks. In this article, we prove fixed point theorems for generalized weakly contractive mappings on partial metric spaces. These theorems generalize many previously obtained results. An example is given to show that our generalization from metric spaces to partial metric spaces is real.

MSC:

54H25	Fixed-point and coincidence theorems (topological aspects)
54E35	Metric spaces, metrizability

Keywords:

partial metric space; generalized weakly contractive; fixed point; common fixed point; alternating distance function; property (P); property (Q)

Citations:

Zbl 0911.54025

References:

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