Annals of Functional Analysis

Dynamical systems for quasi variational inequalities

Awais Gul Khan, Muhammad Aslam Noor, and Khalida Inayat Noor

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Abstract

In this paper, using the projection operator, we introduce two new dynamical systems for extended general quasi variational inequalities. These dynamical systems are called extended general implicit projected dynamical system and extended general implicit Wiener-Hopf dynamical system. We prove that these new dynamical systems converge globally exponentially to a unique solution of the extended general quasi variational inequalities under some suitable conditions. Some special cases are also discussed. The ideas and technique of this paper may stimulate further research.

Article information

Source
Ann. Funct. Anal., Volume 6, Number 1 (2015), 193-209.

Dates
First available in Project Euclid: 19 December 2014

Permanent link to this document
https://projecteuclid.org/euclid.afa/1419001459

Digital Object Identifier
doi:10.15352/afa/06-1-14

Mathematical Reviews number (MathSciNet)
MR3297796

Zentralblatt MATH identifier
1316.47058

Subjects
Primary: 46T99
Secondary: 47H05: Monotone operators and generalizations 49J40: Variational methods including variational inequalities [See also 47J20]

Keywords
Dynamical systems Wiener-Hopf equations global convergence quasi-variational inequalities

Citation

Noor, Muhammad Aslam; Noor, Khalida Inayat; Khan, Awais Gul. Dynamical systems for quasi variational inequalities. Ann. Funct. Anal. 6 (2015), no. 1, 193--209. doi:10.15352/afa/06-1-14. https://projecteuclid.org/euclid.afa/1419001459


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Annals of Functional Analysis

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