Fenchel–Rockafellar theorem in infinite dimensions via generalized relative interiors-Reference-Cited by-同舟云学术

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Fenchel–Rockafellar theorem in infinite dimensions via generalized relative interiors

Published:2022-03-12 Issue:1 Volume:72 Page:135-162
ISSN:0233-1934
Container-title:Optimization
language:en
Short-container-title:Optimization

Author:

Cuong D. V.¹²,Mordukhovich B. S.³,Nam N. M.⁴,Sandine G.⁴

Affiliation:

1. Faculty of Natural Sciences, Department of Mathematics, Duy Tan University, Da Nang, Vietnam

2. American Degree Program, Duy Tan University, Da Nang, Vietnam

3. Department of Mathematics, Wayne State University, Detroit, MI, USA

4. Fariborz Maseeh Department of Mathematics and Statistics, Portland State University, Portland, OR, USA

Funder

Vietnam National Foundation for Science and Technology Development

USA National Science Foundation

USA Air Force Office of Scientific Research

Australian Research Council

Publisher

Informa UK Limited

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Link

https://www.tandfonline.com/doi/pdf/10.1080/02331934.2022.2048383

Reference32 articles.

1. Higher-order optimality conditions for set-valued optimization with ordering cones having empty interior using variational sets

2. Nonlinear Programming

3. Partially finite convex programming, Part I: Quasi relative interiors and duality theory

4. Convex Analysis and Nonlinear Optimization

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1. Generalized relative interiors and generalized convexity in infinite-dimensional spaces;Optimization;2024-05-24

2. Nonlinear Cone Separation Theorems in Real Topological Linear Spaces;SIAM Journal on Optimization;2024-01-16

3. About Error Bounds in Metrizable Topological Vector Spaces;Set-Valued and Variational Analysis;2022-09-23

4. Generalized Differentiation and Duality in Infinite Dimensions under Polyhedral Convexity;Set-Valued and Variational Analysis;2022-08-08

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