Existence results to certain functional equations in probabilistic Banach spaces with an application to integral equations
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Authors
Mohamed Jleli
- Department of Mathematics, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia.
Bessem Samet
- Department of Mathematics, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia.
Abstract
We consider some classes of functional equations posed in PB-spaces, for which we establish existence
and uniqueness of solutions that belong to a cone. An application to integral equations is presented.
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ISRP Style
Mohamed Jleli, Bessem Samet, Existence results to certain functional equations in probabilistic Banach spaces with an application to integral equations, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 4, 1636--1644
AMA Style
Jleli Mohamed, Samet Bessem, Existence results to certain functional equations in probabilistic Banach spaces with an application to integral equations. J. Nonlinear Sci. Appl. (2016); 9(4):1636--1644
Chicago/Turabian Style
Jleli, Mohamed, Samet, Bessem. "Existence results to certain functional equations in probabilistic Banach spaces with an application to integral equations." Journal of Nonlinear Sciences and Applications, 9, no. 4 (2016): 1636--1644
Keywords
- Functional equation
- PB-space
- normal cone
- partial order
- integral equation.
MSC
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