GENERALIZED FUZZY RANDOM SET-VALUED MIXED VARIATIONAL INCLUSIONS INVOLVING RANDOM NONLINEAR (\(A_\omega,\eta_\omega\))-ACCRETIVE MAPPINGS IN BANACH SPACES


Authors

HONG GANG LI - Institute of Applied Mathematics Research, Chongqing University of Posts and TeleCommunications, Chongqing 400065, China.


Abstract

The main purpose of this paper is to introduce and study a new class of random generalized fuzzy set-valued mixed variational inclusions involving random nonlinear (\(A_\omega,\eta_\omega\))-accretive mappings in Banach Spaces. By using the random resolvent operator associated with random nonlinear (\(A_\omega,\eta_\omega\))-accretive mappings, an existence theorem of solutions for this kind of random generalized fuzzy set-valued mixed variational inclusions is established and a new iterative algorithm with an random error is suggested and discussed. The results presented in this paper generalize, improve, and unify some recent results in this field.


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