Dibachi, H. (2010). Random fixed point of Meir-Keeler contraction mappings and its application. Theory of Approximation and Applications, 7(1), 63-67.

H. Dibachi. "Random fixed point of Meir-Keeler contraction mappings and its application". Theory of Approximation and Applications, 7, 1, 2010, 63-67.

Dibachi, H. (2010). 'Random fixed point of Meir-Keeler contraction mappings and its application', Theory of Approximation and Applications, 7(1), pp. 63-67.

Dibachi, H. Random fixed point of Meir-Keeler contraction mappings and its application. Theory of Approximation and Applications, 2010; 7(1): 63-67.

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

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

Abstract

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.

Article Title [Persian]

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

Authors [Persian]

H. Dibachi

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

Abstract [Persian]

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.

Keywords [Persian]

Random fixed point، Meir-Keeler contraction، measurable space، L-function

References

[1] A. Meir, E. Keeler. A theorem on contraction mapping, J. Math. Anal. Appl. 28 (1969), 326-329. [2] A. Branciari. A xed point theorem for mapping satisfying a general contractive condition of integral type, Int. J. Math. Math. Sci. 29 (2002), 531-536. [3] I. Beg, Minimal displacement of random variables under lipschitz random maps, Topological Methods in Nonlinear Analysis Journal of the Juliusz Schauder Cen- ter 19(2002), 391397 [4] S. Plubtieng, P. Kumam, R. Wangkeeree, Approximation of a common random xed point for a nite family of random operators, Inter. J. Math. Math. Sci. Volume 2007, Article ID 69626, 12 pages