scholarly journals Topological aspects of circular metric spaces and some observations on the KKM property towards quasi-equilibrium problems

2013 ◽  
Vol 2013 (1) ◽  
Author(s):  
Parin Chaipunya ◽  
Poom Kumam
Keyword(s):  
Metric Spaces ◽  
Equilibrium Problems ◽  
Quasi Equilibrium ◽  
Kkm Property

A Newton-type method for quasi-equilibrium problems and applications

Optimization ◽  
2021 ◽  
pp. 1-26
Author(s):  
Pedro Jorge S. Santos ◽  
Paulo Sérgio M. Santos ◽  
Susana Scheimberg
Keyword(s):  
Equilibrium Problems ◽  
Quasi Equilibrium ◽  
Type Method

Mixed generalized quasi-equilibrium problems

2012 ◽  
Vol 56 (2) ◽  
pp. 647-667 ◽  
Author(s):  
Truong Thi Thuy Duong
Keyword(s):  
Equilibrium Problems ◽  
Quasi Equilibrium

scholarly journals Approximations of Variational Problems in Terms of Variational Convergence

2017 ◽  
Vol 20 (K2) ◽  
pp. 107-116
Author(s):  
Diem Thi Hong Huynh
Keyword(s):  
Multiobjective Optimization ◽  
Metric Space ◽  
Metric Spaces ◽  
Equilibrium Problems ◽  
Variational Problems ◽  
Dimensional Case ◽  
Variational Convergence ◽  
Finite Dimensional ◽  
Finite Dimensional Case ◽  
Definition Of

We show first the definition of variational convergence of unifunctions and their basic variational properties. In the next section, we extend this variational convergence definition in case the functions which are defined on product two sets (bifunctions or bicomponent functions). We present the definition of variational convergence of bifunctions, icluding epi/hypo convergence, minsuplop convergnece and maxinf-lop convergence, defined on metric spaces. Its variational properties are also considered. In this paper, we concern on the properties of epi/hypo convergence to apply these results on optimization proplems in two last sections. Next we move on to the main results that are approximations of typical and important optimization related problems on metric space in terms of the types of variational convergence are equilibrium problems, and multiobjective optimization. When we applied to the finite dimensional case, some of our results improve known one.

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