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

LI, HONG GANG

doi:10.22436/jnsa.003.01.08

Geodesic

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

LI, HONG GANG ¹

¹ Institute of Applied Mathematics Research, Chongqing University of Posts and TeleCommunications, Chongqing 400065, China

Journal of nonlinear sciences and its applications, Tome 3 (2010) no. 1, p. 63-77.

Voir la notice de l'article provenant de la source International Scientific Research Publications

Résumé

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.

DOI : 10.22436/jnsa.003.01.08

Classification : 49J40, 47H06
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.

Affiliations des auteurs :

LI, HONG GANG ¹

¹ Institute of Applied Mathematics Research, Chongqing University of Posts and TeleCommunications, Chongqing 400065, China

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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 its applications, Tome 3 (2010) no. 1, p. 63-77. doi : 10.22436/jnsa.003.01.08. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.003.01.08/

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