✦ LIBER ✦

Economic equilibrium problems in reflexive Banach spaces

✍ Scribed by Zdzisław Naniewicz

Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 408 KB
Volume: 65
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2005.11.001

No coin nor oath required. For personal study only.

✦ Synopsis

The problem is to minimize a finite collection of objective functions over admissible sets depending on the so-called price vector. The minima in question and the price vector are linked together by a subdifferential governing law. The problem stated as a system of variational-hemivariational inequalities, defined on a nonconvex feasible set, is reduced to one variational-hemivariational inequality involving nonmonotone multivalued mapping. The existence of solutions is examined under the assumption that the constrained functions are positive homogeneous of degree one. The study has been inspired by economic issues and leads to new results concerning the existence of competitive equilibria.

📜 SIMILAR VOLUMES

Existence of solutions of generalized ve

Existence of solutions of generalized vector equilibrium problems in reflexive Banach spaces

✍ I. Sadeqi; C.G. Alizadeh 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 245 KB

Martingale representation in reflexive B

Martingale representation in reflexive Banach spaces

✍ Le van Hot 📂 Article 📅 1982 🏛 John Wiley and Sons 🌐 English ⚖ 338 KB

Fatou's Lemma in Reflexive Banach Spaces

✍ S.I. Suslov 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 118 KB

A version of an approximate Fatou Lemma for a uniformly integrable sequence of functions with values in a reflexive Banach space is proved. The usual assumption that this sequence is pointwisely dominated in norm by a real valued integrable function is omitted.

Proximal analysis in reflexive smooth Ba

Proximal analysis in reflexive smooth Banach spaces

✍ M. Bounkhel; R. Al-Yusof 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 463 KB

In the present paper, we introduce and study a new proximal normal cone in reflexive Banach spaces in terms of a generalized projection operator. Two new variants of generalized proximal subdifferentials are also introduced in reflexive smooth Banach spaces. The density theorem for both proximal sub

Equilibrium problems with set-valued map

Equilibrium problems with set-valued mappings in Banach spaces

✍ Miruna Beldiman 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 244 KB

On generalized implicit vector equilibri

On generalized implicit vector equilibrium problems in Banach spaces

✍ Lu-Chuan Ceng; Sy-Ming Guu; Jen-Chih Yao 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 550 KB

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