Solution of random operator equations by random step-contractors

DOI10.1016/0362-546X(80)90044-9zbMath0425.60057MaRDI QIDQ3860592

Arthur C. H. Lee, W. J. Padgett

Publication date: 1980

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

existence of solutionsrandom integral equationrandom nonlinear operator equationsapproximate random solutionsrandom nonlinear operatorrandom step-contractors

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Random operators and equations (aspects of stochastic analysis) (60H25)

Related Items (7)

Random directional contractors and their applications ⋮ \((\Phi,\Delta)\)-type probabilistic contractors and solutions for nonlinear operator equations in Menger PN-spaces ⋮ Random step contractors and Matkowski's fixed point theorem ⋮ Probabilistic contractor couple and solutions for a system of nonlinear equations in non-Archimedean Menger probabilistic normed spaces ⋮ Existence of solutions of nonlinear stochastic Volterra Fredholm integral equations of mixed type ⋮ \(\Phi\)-contractor and the solutions for nonlinear operator equations in fuzzy normed spaces ⋮ A note on probabilistic contractor couple and solutions for a system of nonlinear equations in N. A. Menger PN-spaces

Cites Work

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• Random integral equations
• Random integral equations with applications to life sciences and engineering
• Random contractors and the solution of random nonlinear equations
• Inverse differentiability contractors and equations in Banach spaces

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