Existence and Uniqueness of a Common Fixed Point on Partial Metric Spaces

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Abstract

In this work, a general form of the weak phi-contraction is considered on partial metric spaces, to get a common fixed point. It is shown that self-mappings S, T on a complete partial metric space X have a common fixed point if it is a generalized weak phi-contraction. (C) 2011 Elsevier Ltd. All rights reserved.

Description

Tas, Kenan/0000-0001-8173-453X; Abdeljawad, Thabet/0000-0002-8889-3768

Keywords

Partial Metric Space, Weak Phi-Contraction, Common Fixed Point, Weak φ-Contraction, Partial metric space, Applied Mathematics, Weak ϕ-contraction, Common fixed point, Fixed-point and coincidence theorems (topological aspects), partial metric space, common fixed point, weak \(\phi \)-contraction

Fields of Science

0101 mathematics, 01 natural sciences

Citation

Abdeljawad, T., Taş, K. (2011). Existence and uniqueness of a common fixed point on partial metric spaces. Applied Mathematics Letters, 24(11), 1900-1904. http://dx.doi.org/10.1016/j.aml.2011.05.014

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127

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24

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11

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1900

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1904
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