Some New Algorithms for Solving General Equilibrium Problems

Muhammad A. Noor () and Themistocles M. Rassias ()
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Muhammad A. Noor: COMSATS Institute of Information and Technology
Themistocles M. Rassias: National Technical University of Athens

A chapter in Handbook of Functional Equations, 2014, pp 407-417 from Springer

Abstract: 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.

Keywords: Variational inequalities; Algorithms; Auxiliary principle; Convergence analysis; Fixed point problems (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4939-1246-9_17

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DOI: 10.1007/978-1-4939-1246-9_17

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