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Existence Results for Extended General Nonconvex Quasi-variational Inequalities

In: Nonlinear Analysis

Author

Listed:
  • Muhammad Aslam Noor

    (COMSATS Institute of Information Technology)

  • Khalida Inayat Noor

    (COMSATS Institute of Information Technology)

  • Eisa Al-Said

    (COMSATS Institute of Information Technology)

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.

Suggested Citation

  • Muhammad Aslam Noor & Khalida Inayat Noor & Eisa Al-Said, 2012. "Existence Results for Extended General Nonconvex Quasi-variational Inequalities," Springer Optimization and Its Applications, in: Panos M. Pardalos & Pando G. Georgiev & Hari M. Srivastava (ed.), Nonlinear Analysis, edition 127, chapter 0, pages 503-512, Springer.
    • Handle: RePEc:spr:spochp:978-1-4614-3498-6_31
    DOI: 10.1007/978-1-4614-3498-6_31
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