(H,ϕ)-η-Accretive Mappings and a New System of Generalized Variational Inclusions with (H,ϕ)-η-Accretive Mappings in Banach Spaces
Author
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-02
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
We introduce a new class of generalized accretive mappings, named (H,ϕ)-η-accretive mappings, in Banach spaces.
We define a resolvent operator associated with (H,ϕ)-η-accretive mappings and show its Lipschitz continuity.
We also introduce and study a new system of generalized variational inclusions with (H,ϕ)-η-accretive mappings in Banach spaces.
By using the resolvent operator technique associated with (H,ϕ)-η-accretive mappings, we construct a new iterative algorithm for solving this system of generalized variational inclusions in Banach spaces.
We also prove the existence of solutions for the generalized variational inclusions and the convergence of iterative sequences generated by algorithm.
Our results improve and generalize many known corresponding results.
American Psychological Association (APA)
Nazemi, Sayyedeh Zahra. 2011. (H,ϕ)-η-Accretive Mappings and a New System of Generalized Variational Inclusions with (H,ϕ)-η-Accretive Mappings in Banach Spaces. ISRN Applied Mathematics،Vol. 2011, no. 2011, pp.1-20.
https://search.emarefa.net/detail/BIM-492378
Modern Language Association (MLA)
Nazemi, Sayyedeh Zahra. (H,ϕ)-η-Accretive Mappings and a New System of Generalized Variational Inclusions with (H,ϕ)-η-Accretive Mappings in Banach Spaces. ISRN Applied Mathematics No. 2011 (2011), pp.1-20.
https://search.emarefa.net/detail/BIM-492378
American Medical Association (AMA)
Nazemi, Sayyedeh Zahra. (H,ϕ)-η-Accretive Mappings and a New System of Generalized Variational Inclusions with (H,ϕ)-η-Accretive Mappings in Banach Spaces. ISRN Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-20.
https://search.emarefa.net/detail/BIM-492378
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-492378