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

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.

Authors

Plern Saipara (ORCID: https://orcid.org/0000-0003-0771-456X)
Krissada Yajai
Orapan Janngam
Wiroj Mongkolthep

Institutions

Rajamangala University of Technology Lanna (TH)

Publication Details

Journal: Statistics Optimization & Information Computing
Published: 2025-10-07
DOI: https://doi.org/10.19139/soic-2310-5070-2714
Primary Topic: Fixed Point Theorems Analysis
Type: article
Field-Weighted Citation Impact: 0.00

Funders

Rajamangala University of Technology Lanna

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article

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

Plern Saipara, Krissada Yajai, Orapan Janngam, Wiroj Mongkolthep

Oct 7, 2025

Statistics Optimization & Information Computing

Fixed Point Theorems Analysis

article

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

Plern Saipara, Krissada Yajai, Orapan Janngam, Wiroj Mongkolthep

October 7, 2025article en

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.

Statistics Optimization & Information ComputingVol. 14(6)

Rajamangala University of Technology Lanna (TH)

Rajamangala University of Technology Lanna

Openalex Percentile: Top 57%

Fixed Point Theorems Analysis

DOI Open Access PDF OpenAlex

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