Existence Results for Extended General Nonconvex Quasi-variational Inequalities

Muhammad Aslam Noor (), Khalida Inayat Noor () and Eisa Al-Said ()
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Muhammad Aslam Noor: COMSATS Institute of Information Technology
Khalida Inayat Noor: COMSATS Institute of Information Technology
Eisa Al-Said: COMSATS Institute of Information Technology

Chapter Chapter 31 in Nonlinear Analysis, 2012, pp 503-512 from Springer

Abstract: Abstract In this paper, we introduce and study a new class of quasi-variational inequalities, which are called the extended general nonconvex quasi-variational inequalities. Using the projection technique, we establish the equivalence between the extended general nonconvex quasi-variational inequalities and the fixed point problem. We use this alternative equivalent formulation to prove the existence of a solution of the extended general quasi-variational inequalities under some suitable conditions. Several special cases are also discussed.

Keywords: Quasi-variational inequalities; Projection method; Fixed point; Existence; 49J40; 90C33 (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-3498-6_31

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DOI: 10.1007/978-1-4614-3498-6_31

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