Generalized Yosida Approximations Based on Relatively A-Maximal m-Relaxed Monotonicity Frameworks
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-06
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We introduce and study a new notion of relatively A-maximal m-relaxed monotonicity framework and discuss some properties of a new class of generalized relatively resolvent operator associated with the relatively A-maximal m-relaxed monotone operator and the new generalized Yosida approximations based on relatively A-maximal m-relaxed monotonicity framework.
Furthermore, we give some remarks to show that the theory of the new generalized relatively resolvent operator and Yosida approximations associated with relatively A-maximal m-relaxed monotone operators generalizes most of the existing notions on (relatively) maximal monotone mappings in Hilbert as well as Banach space and can be applied to study variational inclusion problems and first-order evolution equations as well as evolution inclusions.
American Psychological Association (APA)
Lan, Heng-you. 2013. Generalized Yosida Approximations Based on Relatively A-Maximal m-Relaxed Monotonicity Frameworks. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-450359
Modern Language Association (MLA)
Lan, Heng-you. Generalized Yosida Approximations Based on Relatively A-Maximal m-Relaxed Monotonicity Frameworks. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-450359
American Medical Association (AMA)
Lan, Heng-you. Generalized Yosida Approximations Based on Relatively A-Maximal m-Relaxed Monotonicity Frameworks. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-450359
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-450359