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

  • Krissada Yajai Division of Mathematics, Department of Science, Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna Nan
  • Orapan Janngam Division of Mathematics, Department of Science, Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna Lampang
  • Wiroj Mongkolthep Division of Mathematics, Department of Science, Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna Nan
  • Phachara Saipara Division of Mathematics, Department of Science, Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna Nan 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.
Published
2025-10-07
How to Cite
Yajai, K., Janngam, O., Mongkolthep, W., & Saipara, P. (2025). Some results of a random $(b, \theta)$-Enriched contraction with application on non-linear stochastic integral equations. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-2714
Issue
Online First
Section
Research Articles
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