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

Subject Areas : Applied Mathematics

H.  Dibachi ¹ (Department of Mathematics, Islamic Azad University, Arak-Branch, Arak, Iran.)

Received: 2015-09-30 Accepted : 2015-09-30 Published : 2013-05-01

Keywords: Random fixed point, Meir-Keeler contraction, measurable space, L-􀀀function,

Abstract :

In this paper we introduce a generalization of Meir-Keeler contraction forrandom mapping T : Ω×C →C, where C be a nonempty subset of a Banachspace 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 theexistence and unicity of a solution for an special random integral equation.

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Volume 2007, Article ID 69626, 12 pages