Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

Constantin Zălinescu

Faculty of Mathematics, University Alexandru Ioan Cuza, Iaşi, Romania
and: Octav Mayer Institute of Mathematics (Romanian Academy), Iaşi, Romania

zalinesc@uaic.ro

Keywords

  • Quasi interior
  • quasi relative interior
  • open problem

Suggested citation

C. Zălinescu. “On Three Open Problems Related to Quasi Relative Interior.” Journal of Convex Analysis 22 (2015), No. 3, 641–645. https://doi.org/10.68381/jca22032

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Published by Heldermann Verlag, 2015. Rights now held by Banach Press.