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Journal of Convex Analysis 22 (2015), No. 3, 641--645
Copyright Heldermann Verlag 2015

On Three Open Problems Related to Quasi Relative Interior

Constantin Zalinescu
Faculty of Mathematics, University Alexandru Ioan Cuza, Iasi, Romania

We give answers to two questions formulated by J. Borwein and R. Goebel [Notions of relative interior in Banach spaces, J. Math. Sci. (N. Y.) 115(4) (2003) 2542--2553] and to a conjecture formulated by S. M. Grad and E. L. Pop [Vector duality for convex vector optimization problems by means of the quasi-interior of the ordering cone, Optimization 63(1) (2014) 21--37] related to calculus rules for quasi (relative) interior.

Keywords: Quasi interior, quasi relative interior, open problem.

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