Abstract

The main object of this work to introduced and studied a new class of fuzzy general nonlinear ordered random variational inequalities in ordered Banach spaces. By using the random B-restricted accretive mapping with measurable mappings <TEX>${\alpha},{\alpha}^{\prime}:{\Omega}{\rightarrow}(0,1)$</TEX>, an existence of random solutions for this class of fuzzy general nonlinear ordered random variational inequality (equation) with fuzzy mappings is established, a random approximation algorithm is suggested for fuzzy mappings, and the relation between the first value <TEX>$x_0(t)$</TEX> and the random solutions of fuzzy general nonlinear ordered random variational inequality is discussed.

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