Common fixed point theorems in quasi-partial metric space and applications

What is it about?

The generalized condition (B) in a quasi-partial metric space is introduced to establish coincidence and common fixed point theorems for two weakly compatible pairs of self mappings. In the sequel we also answer affirmatively two open problems posed by Abbas, Babu and Alemayehu.

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Why is it important?

In the setting of a quasi-partial metric space, the results obtained are utilized to establish the existence and uniqueness of a solution of the integral equation and the functional equation arising in dynamic programming.

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