A New Construction of the Degree of Maximal Nonotone Maps

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Mohammad Niksirat
Mohammad Niksirat
1 University of Alberta

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The inclusion equations of the type where is a maximal monotone map, are extensively studied in nonlinear analysis. In this paper, we present a new construction of the degree of maximal monotone maps of the form , where is a locally uniformly convex and separable Banach space continuously embedded in X. The advantage of the new construction lies in the remarkable simplicity it offers for calculation of degree in comparison with the classical one suggested by F. Browder. We prove a few classical theorems in convex analysis through the suggested degree.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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Mohammad Niksirat. 2019. \u201cA New Construction of the Degree of Maximal Nonotone Maps\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 19 (GJSFR Volume 19 Issue F1): .

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Issue Cover
GJSFR Volume 19 Issue F1
Pg. 99- 108
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification: MSC 2010: 34C12
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v1.2

Issue date

April 19, 2019

Language

English

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The inclusion equations of the type where is a maximal monotone map, are extensively studied in nonlinear analysis. In this paper, we present a new construction of the degree of maximal monotone maps of the form , where is a locally uniformly convex and separable Banach space continuously embedded in X. The advantage of the new construction lies in the remarkable simplicity it offers for calculation of degree in comparison with the classical one suggested by F. Browder. We prove a few classical theorems in convex analysis through the suggested degree.

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A New Construction of the Degree of Maximal Nonotone Maps

Mohammad Niksirat
Mohammad Niksirat University of Alberta

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