Some results of a random $(b, \theta)$-Enriched contraction with application on non-linear stochastic integral equations

Authors

  • Krissada Yajai Division of Mathematics, Department of Science, Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna Nan, Thailand
  • Orapan Janngam Division of Mathematics, Department of Science, Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna Lampang, Thailand
  • Wiroj Mongkolthep Division of Mathematics, Department of Science, Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna Nan, Thailand
  • Phachara Saipara Division of Mathematics, Department of Science, Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna Nan, Thailand https://orcid.org/0000-0003-0771-456X

DOI:

https://doi.org/10.19139/soic-2310-5070-2714

Keywords:

a random $(b, \theta)$-enriched contraction, stochastic fixed point, non-linear stochastic integral equation

Abstract

In this paper, we propose a random $(b, \theta)$-enriched contraction operator and prove an existence theorem of random fixed points for this operator. Moreover, we establish an existence result for a solution to a nonlinear stochastic integral equation of Hammerstein type.

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Published

2025-10-07

Issue

Vol. 14 No. 6 (2025)

Section

Research Articles

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How to Cite

Some results of a random $(b, \theta)$-Enriched contraction with application on non-linear stochastic integral equations. (2025). Statistics, Optimization & Information Computing, 14(6), 3346-3358. https://doi.org/10.19139/soic-2310-5070-2714