Invariance of Domain for Operators of Class AG(S+)

Authors

  • Dhruba R. Adhikari Kennesaw State University, Gerogia 30060, USA

Keywords:

Browder and Skrypnik degree theory, invariance of domain, ounded demicontinuous operator of type (S )

Abstract

Let X be a real reflexive Banach space and X∗ its dual space. Let T : X ⊃ D(T) → 2X∗ An operator of class AG(S+), where G ⊂ X is open. An invariance of domain result for T is established. This result extends a similar result of Park for single-valued operators of type (S+). The Skrypnik’s topological degree theory is used, utilizing approximating schemes of mappings of class AG(S+), along with the methodology of a recent invariance of domain result by Kartsatos and the author.

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Author Biography

Dhruba R. Adhikari, Kennesaw State University, Gerogia 30060, USA

Department of Mathematics

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Published

2016-12-31

How to Cite

Invariance of Domain for Operators of Class AG(S+). (2016). The Nepali Mathematical Sciences Report, 34(1-2), 11-17. https://doi.org/10.3126/nmsr.v34i1-2.29981

Issue

Vol. 34 No. 1-2 (2016)

Section

Articles

License

Copyright © The Nepali Mathematical Sciences Report

How to Cite

Invariance of Domain for Operators of Class AG(S+). (2016). The Nepali Mathematical Sciences Report, 34(1-2), 11-17. https://doi.org/10.3126/nmsr.v34i1-2.29981