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Can I read Closedness Type Regularity Conditions for Surjectivity Results Involving the Sum of Two Maximal Monotone Operators on EtoBox?
Closedness Type Regularity Conditions for Surjectivity Results Involving the Sum of Two Maximal Monotone Operators by Radu Ioan Boţ; Sorin-Mihai Grad is a Mathematics article available to read on EtoBox.
What is Closedness Type Regularity Conditions for Surjectivity Results Involving the Sum of Two Maximal Monotone Operators about?
In this note we provide regularity conditions of closedness type which guarantee some surjectivity results concerning the sum of two maximal monotone operators by using representative functions. The first regularity condition we give guarantees the surjectivity of the monotone operator S(• + ) + T (•), where ∈ X and S and T are maximal monotone operators on the reflexive Banach space X . Then, this is used to obtain sufficient conditions for the surjectivity of S + T and for the situation when 0 belongs to the range of S + T . Several special cases are discussed, some of them delivering interesting byproducts.
Who reads Closedness Type Regularity Conditions for Surjectivity Results Involving the Sum of Two Maximal Monotone Operators?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Radu Ioan Boţ; Sorin-Mihai Grad
- Publisher
- Walter de Gruyter GmbH
- Published
- 2010
- Language
- EN
- Field
- Mathematics (Physical Sciences)