Random contractors with random nonlinear majorant functions

DOI10.1016/0362-546X(79)90098-1zbMath0417.60071MaRDI QIDQ3207848

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

Publication date: 1979

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

zbMATH Keywords

stochastic integral equationrandom operator equationrandom contractorrandom nonlinear majorant

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Stochastic integral equations (60H20)

Related Items (11)

Random directional contractors and their applications ⋮ Existence of Solutions of General Nonlinear Stochastic Volterra Fredholm Integral Equations ⋮ \((\Phi,\Delta)\)-type probabilistic contractors and solutions for nonlinear operator equations in Menger PN-spaces ⋮ Random step contractors and Matkowski's fixed point theorem ⋮ Random fixed point theorems under weak topology features and application to random integral equations with lack of compactness ⋮ Probabilistic contractor couple and solutions for a system of nonlinear equations in non-Archimedean Menger probabilistic normed spaces ⋮ Existence, uniqueness and approximation of solutions for a system of nonlinear random operator equations ⋮ 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 ⋮ Random fixed point theorems and applications to random first-order vector-valued differential equations ⋮ 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
• On random nonlinear contractions
• Inverse differentiability contractors and equations in Banach spaces

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