A Coupled Random Fixed Point Result With Application in Polish Spaces

Publish Year: 1397
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_SCMA-11-1_008

تاریخ نمایه سازی: 18 تیر 1398

Abstract:

In this paper, we present a new concept of random contraction and prove a coupled random fixed point theorem under this condition which generalizes stochastic Banach contraction principle. Finally, we apply our contraction to obtain a solution of random nonlinear integral equations and we present a numerical example.

Keywords:

Coupled random fixed point , $varphi $-contraction , Polish space , Random nonlinear integral equations

Authors

Rashwan Ahmed Rashwan

Department of Mathematics, Faculty of Science, Assuit University, Assuit ۷۱۵۱۶, Egypt.

Hasanen Abuel-Magd Hammad

Department of Mathematics, Faculty of Science, Sohag University, Sohag ۸۲۵۲۴, Egypt.

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