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Multivalued Regularized Equilibrium Problems

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Abstract

In this paper, we introduce a new class of equilibrium problems known as the multivalued regularized equilibrium problems. We use the auxiliary principle technique to suggest some iterative methods for solving multivalued regularized equilibrium problems. The convergence of the proposed methods is studied under some mild conditions. As special cases, we obtain a number of known and new results for solving various classes of regularized equilibrium problems and related optimization problems.

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Authors and Affiliations

  1. Mathematics Department, COMSATS Institute of Information Technology, Islamabad, Pakistan

    Muhammad Aslam Noor

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  1. Muhammad Aslam Noor
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Correspondence to Muhammad Aslam Noor.

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Noor, M.A. Multivalued Regularized Equilibrium Problems. J Glob Optim 35, 483–492 (2006). https://doi.org/10.1007/s10898-006-6755-y

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  • DOI: https://doi.org/10.1007/s10898-006-6755-y

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