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Existence Theorems on Solvability of Constrained Inclusion Problems and Applications
Author
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-12
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X⁎.
Let T:X⊇D(T)→2X⁎ be a maximal monotone operator and C:X⊇D(C)→X⁎ be bounded and continuous with D(T)⊆D(C).
The paper provides new existence theorems concerning solvability of inclusion problems involving operators of the type T+C provided that C is compact or T is of compact resolvents under weak boundary condition.
The Nagumo degree mapping and homotopy invariance results are employed.
The paper presents existence results under the weakest coercivity condition on T+C.
The operator C is neither required to be defined everywhere nor required to be pseudomonotone type.
The results are applied to prove existence of solution for nonlinear variational inequality problems.
American Psychological Association (APA)
Asfaw, Teffera M.. 2018. Existence Theorems on Solvability of Constrained Inclusion Problems and Applications. Abstract and Applied Analysis،Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1114290
Modern Language Association (MLA)
Asfaw, Teffera M.. Existence Theorems on Solvability of Constrained Inclusion Problems and Applications. Abstract and Applied Analysis No. 2018 (2018), pp.1-10.
https://search.emarefa.net/detail/BIM-1114290
American Medical Association (AMA)
Asfaw, Teffera M.. Existence Theorems on Solvability of Constrained Inclusion Problems and Applications. Abstract and Applied Analysis. 2018. Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1114290
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1114290