A coincident point and common fixed point theorem for weakly compatible mappings in partial metric spaces

Volume 8, Issue 3, pp 184--192 http://dx.doi.org/10.22436/jnsa.008.03.02

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Authors

M. Akram - Department of Mathematics and Statistics, College of Science, King Faisal University, Al-Ahsa, Kingdom of Saudi Arabia. W. Shamaila - Department of Mathematics, Kinnaird College for Women, Lahore, Pakistan.

Abstract

In this paper, we prove the existence of a coincident point and a common fixed point for two self mappings defined on a complete partial metric space \(X\). We will consider generalized cyclic representation of the set \(X\) with respect to the two self maps defined on \(X\) and a contractive condition involving a generalized distance altering function. Our results generalizes several corresponding results in the existing literature.

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Keywords

• Coincidence point
• fixed point
• contraction
• partial metric space.

MSC

•  47H10
•  54H25

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