✦ LIBER ✦

Existence theorems for variational inclusion problems and the set-valued vector Ekeland variational principle in a complete metric space

✍ Scribed by Lai-Jiu Lin; Chih-Sheng Chuang

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 694 KB
Volume: 70
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2008.03.053

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we apply an existence theorem for the variational inclusion problem to study the existence results for the variational intersection problems in Ekeland's sense and the existence results for some variants of set-valued vector Ekeland variational principles in a complete metric space. Our results contain Ekeland's variational principle as a special case and our approaches are different to those for any existence theorems for such problems.

📜 SIMILAR VOLUMES

From quasivariational inclusion problems

From quasivariational inclusion problems to Stampacchia vector quasiequilibrium problems, Stampacchia set-valued vector Ekeland’s variational principle and Caristi’s fixed point theorem

✍ Lai-Jiu Lin; Chih-Sheng Chuang; Sung-Yu Wang 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 563 KB

In this paper, we first study existence theorems of solution for quasivariational inclusion problems. We apply existence theorems of solution for quasivariational inclusion problem to study the existence theorems of solution for the Stampacchia generalized vector quasiequilibrium problems and Stampa

On the Existence and Iterative Approxima

On the Existence and Iterative Approximation Problems of Solutions for Set-Valued Variational Inclusions in Banach Spaces

✍ S.S. Chang; J.K. Kim; K.H. Kim 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 138 KB

The purpose of this paper is to introduce and study a class of set-valued variational inclusions in Banach spaces. By using Michael's selection theorem and Nadler's theorem, some existence theorems and iterative algorithms for solving this kind of set-valued variational inclusion in Banach spaces ar

Existence and convergence theorems for a

Existence and convergence theorems for a class of multi-valued variational inclusions in Banach spaces

✍ C.E. Chidume; H. Zegeye; K.R. Kazmi 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 177 KB

The auxiliary principle and an algorithm

The auxiliary principle and an algorithm for a system of generalized set-valued mixed variational-like inequality problems in Banach spaces

✍ Xie Ping Ding; Zhong Bao Wang 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 580 KB