Gap Functions and Error Bounds for Generalized Mixed Vector Equilibrium Problems

Suhel Ahmad Khan () and Jia-Wei Chen ()
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Suhel Ahmad Khan: BITS-Pilani
Jia-Wei Chen: Southwest University

Journal of Optimization Theory and Applications, 2015, vol. 166, issue 3, No 3, 767-776

Abstract: Abstract In this paper, we consider two classes of generalized mixed vector equilibrium problems and mixed vector equilibrium problems, and propose some gap functions by using a new method, which is different from the previously known methods used in the literature. Finally, error bounds are obtained for the underlying mixed vector equilibrium problems in terms of regularized gap functions without using projection method.

Keywords: Generalized mixed equilibrium problem; Gap function; Strongly monotone mapping; Error bounds; 49J10; 49J40; 90C25; 90C33 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-014-0683-7

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