𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Some vector optimization problems in Banach spaces with generalized convexity

✍ Scribed by Guolin Yu; Sanyang Liu

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
216 KB
Volume
54
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we consider a vector optimization problem where all functions involved are defined on Banach spaces. New classes of generalized type-I functions are introduced for functions between Banach spaces. Based upon these generalized type-I functions, we obtain a few sufficient optimality conditions and prove some results on duality.

πŸ“œ SIMILAR VOLUMES

Approximate generalized proximal-type me
Approximate generalized proximal-type method for convex vector optimization problem in Banach spaces
✍ Zhe Chen; Haiqiao Huang; Kequan Zhao πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 485 KB

## Pareto optimal solution Error term a b s t r a c t In this paper, we consider a convex vector optimization problem of finding weak Pareto optimal solutions for an extended vector-valued map from a uniformly convex and uniformly smooth Banach space to a real Banach space, with respect to the par

On generalized implicit vector equilibri
On generalized implicit vector equilibrium problems in Banach spaces
✍ Lu-Chuan Ceng; Sy-Ming Guu; Jen-Chih Yao πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 550 KB

Let X and Y be real Banach spaces, K be a nonempty convex subset of X , and C : K β†’ 2 Y be a multifunction such that for each u ∈ K , C (u) is a proper, closed and convex cone with intC (u) = βˆ…, where intC (u) denotes the interior of C (u). Given the mappings introduce and consider the generalized

Some relations between variational-like
Some relations between variational-like inequality problems and vectorial optimization problems in Banach spaces
✍ Lucelina Batista dos Santos; Gabriel Ruiz-GarzΓ³n; Marko A. Rojas-Medar; Antonio πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 227 KB

In this work, we will establish some relations between variational-like inequality problems and vectorial optimization problems in Banach spaces under invexity hypotheses. This paper extends the earlier work of Ruiz-GarzΓ³n et al. [