Some Fixed Point Theorems in Menger Probabilistic Partial Metric Spaces with Application to Volterra Type Integral Equation

Some Fixed Point Theorems in Menger Probabilistic Partial Metric Spaces with Application to Volterra Type Integral Equation

In this paper, we introduce the notion of Menger probabilistic partial metric space and prove some fixed point theorems in the framework of such spaces. Some examples and an application to Volterra type integral equation are given to support the obtained results. Finally, we apply successive approxi...

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Veröffentlicht in:International journal of analysis and applications 2019-09, Vol.17 (5), p.771-792
Hauptverfasser: Amir ‎Ghanenia, Mahnaz khanehgir, Reza Allahyari, Mohammad ‎Mehrabinezhad
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we introduce the notion of Menger probabilistic partial metric space and prove some fixed point theorems in the framework of such spaces. Some examples and an application to Volterra type integral equation are given to support the obtained results. Finally, we apply successive approximations method to find a solution for a Volterra type integral equation with high accuracy.
ISSN:2291-8639
2291-8639