The convexity of \(A\) and \(B\) assures \(\text{int} A + B = \text{int}(A + B)\)
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Publication:2366000
DOI10.1016/0893-9659(93)90154-FzbMath0810.52003OpenAlexW1972655711MaRDI QIDQ2366000
Publication date: 29 June 1993
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0893-9659(93)90154-f
Axiomatic and generalized convexity (52A01) Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)
Related Items (17)
Some general conditions assuring \(\text{int }A+B=\text{int}(A+B)\) ⋮ A Comparison of Some Recent Regularity Conditions for Fenchel Duality ⋮ Accelerated reflection projection algorithm and its application to the LMI problem ⋮ New algorithms for discrete vector optimization based on the Graef-Younes method and cone-monotone sorting functions ⋮ Characterizations via linear scalarization of minimal and properly minimal elements ⋮ Karamardian Matrices: A Generalization of $Q$-Matrices ⋮ Essential stability in set optimization ⋮ A unified stability result with perturbations in vector optimization ⋮ Regularity conditions via generalized interiority notions in convex optimization: New achievements and their relation to some classical statements ⋮ Optimality conditions for extended Ky Fan inequality with cone and affine constraints and their applications ⋮ On higher-order mixed duality in set-valued optimization ⋮ Vector duality for convex vector optimization problems by means of the quasi-interior of the ordering cone ⋮ Characterizations of efficient and weakly efficient points in nonconvex vector optimization ⋮ Existence and Convergence of Optimal Points with Respect to Improvement Sets ⋮ On the finite termination of the Douglas-Rachford method for the convex feasibility problem ⋮ Improvement sets and convergence of optimal points ⋮ Another observation on conditions assuring \(\text{int }A+B= \text{int}(A+B)\)
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