✦ LIBER ✦

Existence of solutions and convergence of iterative algorithms for a system of generalized nonlinear mixed quasi-variational inclusions

✍ Scribed by Jian Wen Peng; Dao Li Zhu

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 287 KB
Volume: 53
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2006.07.005

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we introduce and study a new system of generalized nonlinear mixed quasi-variational inclusions in q-uniformly smooth Banach spaces. We prove the existence and uniqueness of solutions for this system of generalized nonlinear mixed quasivariational inclusions. We also prove the convergence of several new two-step iterative algorithms with or without errors for this system of generalized nonlinear mixed quasi-variational inclusions. The results in this paper extend and improve some known results in the literature.

📜 SIMILAR VOLUMES

Three-step iterative algorithms for solv

Three-step iterative algorithms for solving the system of generalized mixed quasi-variational-like inclusions

✍ Lu-Chuan Zeng; Sy-Ming Guu; Jen-Chih Yao 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 261 KB

In this paper, we consider the system of generalized mixed quasi-variational-like inclusions in Hilbert spaces. We extend the auxiliary principle technique to develop a three-step iterative algorithm for solving the system of generalized mixed quasivariational-like inclusions. Under the assumptions

Existence and stability of iterative alg

Existence and stability of iterative algorithms for the system of nonlinear quasi-mixed equilibrium problems

✍ Suthep Suantai; Narin Petrot 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 237 KB

## Stability analysis a b s t r a c t In this paper, we consider the system of nonlinear quasi-mixed equilibrium problems. The existence theorems of solutions of such problems are provided by considering the limit point of an iterative algorithm. This means, we not only give the conditions for the

Existence and algorithm of solutions for

Existence and algorithm of solutions for mixed quasi-variational-like inclusions in Banach spaces

✍ Xie Ping Ding; Jen-Chih Yao 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 738 KB

Iterative algorithm for a system of nonl

Iterative algorithm for a system of nonlinear variational-like inclusions

✍ K.R. Kazmi; M.I. Bhat 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 327 KB

In this paper, we consider a system of nonlinear variational-like inclusions (SNVLI) in Hilbert spaces. In particular, SNVLI reduces to a variational inclusion, an extension of variational inclusion studied by Hassouni and Moudafi [1]. Using fixed-point method, we suggest an iterative algorithm for

Iterative approximation of solutions for

Iterative approximation of solutions for a class of completely generalized set-valued quasi-variational inclusions

✍ Lu-Chuan Ceng; Sy-Ming Guu; Jen-Chih Yao 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 253 KB

In this paper we study a new class of completely generalized set-valued quasi-variational inclusion problems in Banach spaces. This inclusion problem is a generalization of the generalized set-valued variational inclusion problem studied by Chang et al. We show that Chang et al.'s algorithm can be m

Iterative algorithms for a general syste

Iterative algorithms for a general system of generalized nonlinear mixed composite-type equilibria

✍ Lu-Chuan Ceng; Sy-Ming Guu; Jen-Chih Yao 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 429 KB

of generalized nonlinear mixed composite-type equilibria a b s t r a c t In this paper, we consider and study a general system of generalized nonlinear mixed composite-type equilibria in Hilbert spaces. First, we prove the existence and uniqueness of the solution for this system of generalized nonl