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
zalinesc@uaic.ro
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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