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- W2891944869 abstract "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." @default.
- W2891944869 created "2018-09-27" @default.
- W2891944869 creator A5031417663 @default.
- W2891944869 date "2017-06-30" @default.
- W2891944869 modified "2023-10-05" @default.
- W2891944869 title "Approximations of Variational Problems in Terms of Variational Convergence" @default.
- W2891944869 doi "https://doi.org/10.32508/stdj.v20ik2.456" @default.
- W2891944869 hasPublicationYear "2017" @default.
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