Random fixed point of Meir-Keeler contraction mappings and its application

Theory of Approximation and Applications

مقاله 4، دوره 7، شماره 1، مرداد 2013، صفحه 63-67   

نوع مقاله: Research Articles

نویسنده

H. Dibachi^*

Department of Mathematics, Islamic Azad University, Arak-Branch, Arak, Iran.

چکیده

In this paper we introduce a generalization of Meir-Keeler contraction for
random mapping T : Ω×C → C, where C be a nonempty subset of a Banach
space X and (Ω,Σ) be a measurable space with  being a sigma-algebra of sub-
sets of. Also, we apply such type of random fixed point results to prove the
existence and unicity of a solution for an special random integral equation.

مراجع

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Volume 2007, Article ID 69626, 12 pages