Refinements on Gap Functions and Optimality Conditions for Vector Quasi-Equilibrium Problems via Image Space Analysis

Jun Li () and Giandomenico Mastroeni ()
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Jun Li: China West Normal University
Giandomenico Mastroeni: University of Pisa

Journal of Optimization Theory and Applications, 2018, vol. 177, issue 3, No 7, 696-716

Abstract: Abstract By means of some new results on generalized systems, vector quasi-equilibrium problems with a variable ordering relation are investigated from the image perspective. Lagrangian-type optimality conditions and gap functions are obtained under mild generalized convexity assumptions on the given problem. Applications to the analysis of error bounds for the solution set of a vector quasi-equilibrium problem are also provided. These results are refinements of several authors’ works in recent years and also extend some corresponding results in the literature.

Keywords: Image space analysis; Generalized convexity; Generalized systems; Quasi-equilibrium problems; 90C29; 90C46 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s10957-017-1182-4

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