A New System of Random Generalized Variational Inclusions with Random Fuzzy Mappings and Random (H(⋅,⋅),ϕ)-η-Accretive Mappings in Banach Spaces
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-29, 29 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-22
Country of Publication
Egypt
No. of Pages
29
Main Subjects
Abstract EN
We introduce a new notion of random (H(⋅,⋅),ϕ)-η-accretive mappings and prove the Lipschitz continuity of the random resolvent operator associated with the random (H(⋅,⋅),ϕ)-η-accretive mappings.
We introduce and study a new system of random generalized variational inclusions with random (H(⋅,⋅),ϕ)-η-accretive mappings and random fuzzy mappings in Banach spaces.
By using the random resolvent operator, an iterative algorithm for solving such system of random generalized variational inclusions is constructed in Banach spaces.
Under some suitable conditions, we prove the convergence of the iterative sequences generated by the algorithm.
American Psychological Association (APA)
Nazemi, Sayyedeh Zahra. 2012. A New System of Random Generalized Variational Inclusions with Random Fuzzy Mappings and Random (H(⋅,⋅),ϕ)-η-Accretive Mappings in Banach Spaces. ISRN Applied Mathematics،Vol. 2012, no. 2012, pp.1-29.
https://search.emarefa.net/detail/BIM-494180
Modern Language Association (MLA)
Nazemi, Sayyedeh Zahra. A New System of Random Generalized Variational Inclusions with Random Fuzzy Mappings and Random (H(⋅,⋅),ϕ)-η-Accretive Mappings in Banach Spaces. ISRN Applied Mathematics No. 2012 (2012), pp.1-29.
https://search.emarefa.net/detail/BIM-494180
American Medical Association (AMA)
Nazemi, Sayyedeh Zahra. A New System of Random Generalized Variational Inclusions with Random Fuzzy Mappings and Random (H(⋅,⋅),ϕ)-η-Accretive Mappings in Banach Spaces. ISRN Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-29.
https://search.emarefa.net/detail/BIM-494180
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-494180