A New System of Random Generalized Variational Inclusions with Random Fuzzy Mappings and Random --Accretive Mappings in Banach Spaces | Zendy

Sayyedeh Zahra Nazemi | Zendy

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A New System of Random Generalized Variational Inclusions with Random Fuzzy Mappings and Random --Accretive Mappings in Banach Spaces

Author(s) -

Sayyedeh Zahra Nazemi

Publication year - 2012

Publication title -

isrn applied mathematics

Language(s) - English

Resource type - Journals

eISSN - 2090-5572

pISSN - 2090-5564

DOI - 10.5402/2012/731058

Subject(s) - resolvent , mathematics , lipschitz continuity , random compact set , banach space , random element , resolvent formalism , convergence (economics) , pure mathematics , random function , multivariate random variable , operator (biology) , discrete mathematics , random variable , finite rank operator , biochemistry , statistics , chemistry , repressor , gene , economics , transcription factor , economic growth

We introduce a new notion of random --accretive mappings and prove the Lipschitz continuity of the random resolvent operator associated with the random --accretive mappings. We introduce and study a new system of random generalizedvariational inclusions with random --accretive mappings and random fuzzy mappings in Banach spaces. By using the random resolvent operator, an iterative algorithm for solving suchsystem of random generalized variational inclusions is constructed in Banach spaces. Under somesuitable conditions, we prove the convergence of the iterative sequences generated by the algorithm.

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