scholarly journals On the Hölder continuity of solution maps to parametric generalized vector quasi-equilibrium problems via nonlinear scalarization

2014 ◽  
Vol 2014 (1) ◽  
Author(s):  
Rabian Wangkeeree ◽  
Pakkapon Preechasilp
Keyword(s):  
Equilibrium Problems ◽  
Hölder Continuity ◽  
Quasi Equilibrium ◽  
Holder Continuity ◽  
Nonlinear Scalarization ◽  
Solution Maps

scholarly journals Stability analysis of solutions to equilibrium problems and applications in economics

2020 ◽  
Vol 4 (3) ◽  
pp. 121-132
Author(s):  
Tran Ngoc Tam ◽  
Nguyen Minh Hai ◽  
Bantaojai Thanatporn
Keyword(s):  
Stability Analysis ◽  
Design Methodology ◽  
Equilibrium Problems ◽  
Hölder Continuity ◽  
Sufficient Conditions ◽  
Strong Convexity ◽  
Holder Continuity ◽  
Content Type ◽  
Solution Maps

Purpose The purpose of this paper is to study the Hölder calmness of solutions to equilibrium problems and apply it to economics. Design/methodology/approach The authors obtain the Hölder calmness by using an effective approach. More precisely, under the key assumption of strong convexity, sufficient conditions for the Hölder continuity of solution maps to equilibrium problems are established. Findings A new result in stability analysis for equilibrium problems and applications in economics is archived. Originality/value The authors confirm that the paper has not been published previously, is not under consideration for publication elsewhere and is not being simultaneously submitted elsewhere.

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