Random fixed point of Greguš mapping and its application to nonlinear stochastic integral equations

Abstract

We obtain sufficient conditions for the existence of random fixed point of Greguš type random operators on separable Banach spaces and use it to solve a random nonlinear integral equation of the form:To further illustrate, examples of nonlinear stochastic integral equation are constructed.

Keywords

• Random fixed point
• Greguš mapping
• nonlinear stochastic integral equation
• Banach space