Journal of applied mathematics & informatics
- Volume 23 Issue 1_2
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- Pages.183-191
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- 2007
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
REGULARIZED MIXED QUASI EQUILIBRIUM PROBLEMS
- Noor Muhammad Aslam (Mathemaics Department, COMSATS Institute of Information Technology)
- Published : 2007.01.31
Abstract
In this paper, we introduce and study a new class of equilibrium problems, known as regularized mixed quasi equilibrium problems. We use the auxiliary principle technique to suggest and analyze some iterative schemes for regularized equilibrium problems. We prove that the convergence of these iterative methods requires either pseudomonotonicity or partially relaxed strongly monotonicity. Our proofs of convergence are very simple. As special cases, we obtain earlier results for solving equilibrium problems and variational inequalities involving the convex sets.
Keywords