Fixed points theorems for -valued multifunctions.
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Stouti, A., Maaden, A. (2007)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Sufficient conditions are given for the global Pareto solution of the multicriterial optimization problem to be in a given convex subset of the domain. In the case of maximizing real valued-functions, the conditions are sufficient and necessary without any convexity type assumptions imposed on the function. In the case of linearly scalarized vector-valued functions the conditions are sufficient and necessary provided that both the function is concave and the scalarization is increasing...
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Commentationes Mathematicae Universitatis Carolinae
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We introduce the relative fixed point index for a class of noncompact operators on special subsets of non locally convex spaces.