Existence results to certain functional equations in probabilistic Banach spaces with an application to integral equations

Volume 9, Issue 4, pp 1636--1644 http://dx.doi.org/10.22436/jnsa.009.04.20

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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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Keywords

• Functional equation
• PB-space
• normal cone
• partial order
• integral equation.

MSC

•  47H07
•  47H05
•  45G10

References

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