Analytical Solution for a Periodic Boundary Random-Value Problem via Stochastic Fixed Points with PPF Dependence Technique

  • Hasanen A. Hammad Sohag University
  • Rashwan. A Rashwan Assuit University
Keywords: PPF dependent random fixed point, PPF dependent random coincidence point, random fixed point, Suzuki-Edelstein type random contractive mappings, the Razumikhin class.

Abstract

In this paper, some random common fixed point and coincidence point theorems are established with PPF dependence for generalized random contractions in a separable Banach space. Our results introduce stochastic versions and extensions of recent results as [3, 21, 25] and others. In addition, an application to establish PPF dependent solution of a periodic boundary random-valued problem is given to illustrate the usability of obtained results.         valued problem is given to illustrate usability of the obtained results.

Author Biographies

Hasanen A. Hammad, Sohag University
Department of Mathematics
Rashwan. A Rashwan, Assuit University
Department of Mathematics

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Published
2019-12-01
How to Cite
Hammad, H. A., & Rashwan, R. A. (2019). Analytical Solution for a Periodic Boundary Random-Value Problem via Stochastic Fixed Points with PPF Dependence Technique. Statistics, Optimization & Information Computing, 7(4), 653-668. https://doi.org/10.19139/soic-2310-5070-511
Section
Research Articles