Random fixed point theorems for Hardy-Rogers self-random operators with applications to random integral equations |
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| Authors: | Plern Saipara Yeol Je Cho |
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| Institution: | 1. KMUTT-Fixed Point Theory and Applications Research Group &2. Department of Mathematics, Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok, Thailand.;3. Department of Mathematics Education and RINS, Gyeongsang National University, Jinju, Korea.;4. Center for General Education, China Medical University, Taichung, Taiwan. |
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| Abstract: | In this paper, we prove some random fixed point theorems for Hardy–Rogers self-random operators in separable Banach spaces and, as some applications, we show the existence of a solution for random nonlinear integral equations in Banach spaces. Some stochastic versions of deterministic fixed point theorems for Hardy–Rogers self mappings and stochastic integral equations are obtained. |
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| Keywords: | Random fixed points Hardy–Rogers self-random operators nonlinear integral equations measurable function |
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