A Study of Fixed Point for Two Continuous Random Operators in 2-Hilbert Space

A. S. Saluja

Abstract: In this paper, we construct a sequence of measurable functions and examine its convergence to the common random fixed point of two continuous random operators defined on a non-empty closed subset of a separable 2-Hilbert space. To obtain the random fixed point of these operators, we employ a rational inequality and the parallelogram law.

Keywords: Separable 2-Hilbert Space, Random operators, Measurable function, Common random fixed point