Abstract:
In this paper, we introduce the notion of $\alpha$, $\beta$-admissible mappings as an extension of the so-called $\alpha$-admissible mappings. After that, we propose for this class of mappings a new fixed point result in the setting of generalized orthogonal partial metric spaces. At the end of the results, to illustrate wide usability of our findings, we establish the existence and the uniqueness of solutions for a class of functional equations arising in dynamic programming.
Keywords:fixed point, $\alpha$, $\beta$-admissible mapping, generalized orthogonal set, partial metric.
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