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- Ali P. Farajzadeh, Muhammad Aslam Noor, Saira Zainab
- J. Global Optimization
- 2009

In this paper, we introduce and consider a new class of complementarity problems, which are called the generalized mixed quasi-complementarity problems in a topological vector space. We show that the generalized mixed quasi-complementarity problems are equivalent to the generalized mixed quasi variational inequalities. Using a new type of KKM mapping… (More)

In this paper, we use the auxiliary principle technique coupled with the principle of iterative regularization to suggest and analyze some new iterative algorithms for solving mixed quasi variational inequalities. We also study the convergence criteria of these algorithms under some suitable and mild conditions. Several special cases are also considered.… (More)

- Muhammad Aslam Noor, Saira Zainab, Yonghong Yao
- J. Applied Mathematics
- 2012

We use the auxiliary principle technique to suggest and analyze an implicit method for solving the equilibrium problems on Hadamard manifolds. The convergence of this new implicit method requires only the speudomonotonicity, which is a weaker condition than monotonicity. Some special cases are also considered.

- Muhammad Aslam Noor, Khalida Inayat Noor, Saira Zainab
- J. Applied Mathematics
- 2012

We introduce and consider a new class of equilibrium problems and variational inequalities involving bifunction, which is called the nonconvex bifunction equilibrium variational inequality. We suggest and analyze some iterative methods for solving the nonconvex bifunction equilibrium variational inequalities using the auxiliary principle technique. We prove… (More)

- Muhammad Aslam Noor, Khalida Inayat Noor, Saira Zainab, Eisa A. Al-Said
- J. Applied Mathematics
- 2012

We use auxiliary principle technique coupled with iterative regularization method to suggest and analyze some new iterative methods for solving mixed variational-like inequalities. The convergence analysis of these new iterative schemes is considered under some suitable conditions. Some special cases are also discussed. Our method of proofs is very simple… (More)

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