Convexity and optimization in banach spaces (original) (raw)

Convex optimization on Banach Spaces

Vladimir Temlyakov

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New concepts of convexity in Banach spaces

Mohammad Reza Heidari Tavani

2014

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The Lagrange Multipliers for Convex Vector Functions in Banach Spaces

Le Thanh Tam Le

2018

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Variational Convexity of Functions in Banach Spaces

Võ Tiến Phát

arXiv (Cornell University), 2022

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On 𝑃- and 𝑝-Convexity of Banach Spaces

Omar Muñiz

Abstract and Applied Analysis, 2010

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Greedy Algorithms in Banach Spaces

Vladimir Temlyakov

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Stephen Boyd's Convex Optimization

Brian Nichols

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Optimality and invexity in optimization problems in Banach algebras (spaces)

Majid Soleimani-damaneh

Nonlinear Analysis: Theory, Methods & Applications, 2009

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Generalized Efficient Solutions to one Class of Vector Optimization Problems in Banach Spaces

Rosanna Manzo

Australian Journal of Mathematical Analysis and Applications

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Editors’ foreword for the special issue “Mathematics in the Banach Space”

Taras Banakh

European Journal of Mathematics

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Modern Convex Analysis - Preface

Michel THERA

Mathematical Programming, 2014

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Non convex optimization problems on weakly compact subsets of Banach spaces

Stefan Cobzas

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On existence of efficient solutions to vector optimization problems in Banach spaces

Rosanna Manzo

Note di Matematica

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A convex programming problem in Banach spaces and applications to optimum control theory

Robert Conti

Journal of Computer and System Sciences, 1970

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Some results on functionally convex sets in real Banach spaces

Alireza Moazzen

2016

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Convergence of Some Greedy Algorithms in Banach Spaces

S.j Dilworth, Vladimir Temlyakov

Journal of Fourier Analysis and Applications, 2002

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Lagrangian conditions for vector optimization in Banach spaces

Joydeep Dutta

Mathematical Methods of Operations Research, 2006

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Uniformly convex functions on Banach spaces

Jonathan Borwein

Proceedings of the American Mathematical Society, 2008

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Existence for minimization in Banach space with some applications

Thomas Seidman

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A simple view on convex analysis and its applications

Jan Brinkhuis

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On Functionally Convex Sets and Functionally Closed Sets in Real Banach Spaces

Alireza Moazzen

Pure and Applied Mathematics, 2018

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Biorthogonal greedy algorithms in convex optimization

V. Temlyakov

ArXiv, 2020

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Generalised second-order derivatives of convex functions in reflexive Banach spaces

Michel THERA

Bulletin of the Australian Mathematical Society, 1995

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Perturbed Optimization in Banach Spaces I: A General Theory Based on a Weak Directional Constraint Qualification

Frédéric Bonnans

SIAM Journal on Control and Optimization, 1996

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Generalized Convexity: A contemporary vision about Convexity

Miguel Vivas Cortez

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On the axiomatization of convex subsets of Banach spaces

Valerio Capraro

Proceedings of the American Mathematical Society, 2013

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On convex vector optimisation

joydeep dutta

Bulletin of the Australian Mathematical Society, 2000

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The Geometry of Convex Transitive Banach Spaces

Julio Guerrero

Bulletin of the London Mathematical Society, 1999

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Convexification of nonconvex functions and application to minimum and maximum principles for nonconvex sets

Lixin Cheng

Computers & Mathematics with Applications, 1996

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A proximal point method for nonsmooth convex optimization problems in Banach spaces

Regina Burachik

Abstract and Applied Analysis, 1997

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Book Review: Functional analysis

Meijun Zhu

Bulletin of the American Mathematical Society, 2005

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