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Some New Algorithms for Solving General Equilibrium Problems

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Handbook of Functional Equations

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 95))

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Abstract

In this chapter, we investigate some unified iterative methods for solving the general equilibrium problems using the auxiliary principle technique. The convergence of the proposed methods is analyzed under some suitable conditions. As special cases, we obtain a number of known and new classes of equilibrium and variational inequality problems. Results obtained in this chapter continue to hold for these new and previously known problems. The ideas and techniques of this chapter may inspire the interested readers to explore applications of the general equilibrium problems in pure and applied sciences.

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Acknowledgements

The authors would like to thank Dr. S. M. Junaid Zaidi, Rector, COMSATS Institute of Information Technology, Pakistan, for providing excellent research facilities.

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Authors and Affiliations

  1. COMSATS Institute of Information and Technology, Park Road, Islamabad, Pakistan

    Muhammad A. Noor

  2. Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780, Athens, Greece

    Themistocles M. Rassias

Authors
  1. Muhammad A. Noor
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  2. Themistocles M. Rassias
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Corresponding author

Correspondence to Muhammad A. Noor .

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Editors and Affiliations

  1. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

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Noor, M., Rassias, T. (2014). Some New Algorithms for Solving General Equilibrium Problems. In: Rassias, T. (eds) Handbook of Functional Equations. Springer Optimization and Its Applications, vol 95. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-1246-9_17

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