On Three Open Problems Related to Quasi Relative Interior
Journal of convex analysis, Tome 22 (2015) no. 3, pp. 641-645
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.
Mots-clés :
Quasi interior, quasi relative interior, open problem
@article{JCA_2015_22_3_JCA_2015_22_3_a2,
author = {C. Zalinescu},
title = {On {Three} {Open} {Problems} {Related} to {Quasi} {Relative} {Interior}},
journal = {Journal of convex analysis},
pages = {641--645},
year = {2015},
volume = {22},
number = {3},
url = {http://geodesic.mathdoc.fr/item/JCA_2015_22_3_JCA_2015_22_3_a2/}
}
C. Zalinescu. On Three Open Problems Related to Quasi Relative Interior. Journal of convex analysis, Tome 22 (2015) no. 3, pp. 641-645. http://geodesic.mathdoc.fr/item/JCA_2015_22_3_JCA_2015_22_3_a2/