Metric subregularity for nonclosed convex multifunctions in
normed spaces

Xi Yin Zheng; Kung Fu Ng

Displaying similar documents to “Metric subregularity for nonclosed convex multifunctions in normed spaces”

Error bounds for convex constrained systems in Banach spaces

Wen Song (2007)

Control and Cybernetics

Similarity:

Characterizations of error bounds for lower semicontinuous functions on metric spaces

Dominique Azé, Jean-Noël Corvellec (2004)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

Refining the variational method introduced in Azé et al. [Nonlinear Anal. 49 (2002) 643-670], we give characterizations of the existence of so-called global and local error bounds, for lower semicontinuous functions defined on complete metric spaces. We thus provide a systematic and synthetic approach to the subject, emphasizing the special case of convex functions defined on arbitrary Banach spaces (refining the abstract part of Azé and Corvellec [SIAM J. Optim. 12 (2002) 913-927],...

Metrically convex functions in normed spaces

Stanisław Kryński (1993)

Studia Mathematica

Similarity:

Properties of metrically convex functions in normed spaces (of any dimension) are considered. The main result, Theorem 4.2, gives necessary and sufficient conditions for a function to be metrically convex, expressed in terms of the classical convexity theory.

On almost coincidence points in generalized convex spaces.

Mitrović, Zoran D. (2006)

Fixed Point Theory and Applications [electronic only]

Similarity:

Global and local optimality conditions in set-valued optimization problems.

Durea, M. (2005)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces.

Butnariu, Dan, Resmerita, Elena (2006)

Abstract and Applied Analysis

Similarity: