GENERALIZED FUZZY RANDOM SET-VALUED MIXED VARIATIONAL INCLUSIONS INVOLVING RANDOM NONLINEAR (\(A_\omega,\eta_\omega\))-ACCRETIVE MAPPINGS IN BANACH SPACES
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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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ISRP Style
HONG GANG LI, GENERALIZED FUZZY RANDOM SET-VALUED MIXED VARIATIONAL INCLUSIONS INVOLVING RANDOM NONLINEAR (\(A_\omega,\eta_\omega\))-ACCRETIVE MAPPINGS IN BANACH SPACES, Journal of Nonlinear Sciences and Applications, 3 (2010), no. 1, 63-77
AMA Style
LI HONG GANG, GENERALIZED FUZZY RANDOM SET-VALUED MIXED VARIATIONAL INCLUSIONS INVOLVING RANDOM NONLINEAR (\(A_\omega,\eta_\omega\))-ACCRETIVE MAPPINGS IN BANACH SPACES. J. Nonlinear Sci. Appl. (2010); 3(1):63-77
Chicago/Turabian Style
LI, HONG GANG. "GENERALIZED FUZZY RANDOM SET-VALUED MIXED VARIATIONAL INCLUSIONS INVOLVING RANDOM NONLINEAR (\(A_\omega,\eta_\omega\))-ACCRETIVE MAPPINGS IN BANACH SPACES." Journal of Nonlinear Sciences and Applications, 3, no. 1 (2010): 63-77
Keywords
- Generalized fuzzy random set-valued mixed variational inclusions
- random nonlinear (\(A_\omega
- \eta_\omega\))-accretive mappings
- random resolvent operator
- random fuzzy set-valued mapping
- convergence
- iterative algorithm with an random error.
MSC
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