Geodesic
On some Optimization Problems in Not Necessarily Locally Convex Space
Yugoslav journal of operations research, Tome 18 (2008) no. 2, p. 167

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Zbl

In this note, by using O. Hadžić's generalization of a fixed point theorem of Himmelberg, we prove a non - cooperative equilibrium existence theorem in non - compact settings and a generalization of an existence theorem for non - compact infinite optimization problems, all in not necessarily locally convex spaces.
Classification : 46A16 49J27
Keywords: Set valued mapping, quasi - convex map, non-cooperative equilibrium. 
Ljiljana Gajić. On some Optimization Problems in Not Necessarily Locally Convex Space. Yugoslav journal of operations research, Tome 18 (2008) no. 2, p. 167 . http://geodesic.mathdoc.fr/item/YJOR_2008_18_2_a2/
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     author = {Ljiljana Gaji\'c},
     title = {On some {Optimization} {Problems} in {Not} {Necessarily} {Locally} {Convex} {Space}},
     journal = {Yugoslav journal of operations research},
     pages = {167 },
     year = {2008},
     volume = {18},
     number = {2},
     zbl = {1199.46008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/YJOR_2008_18_2_a2/}
}
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