In this paper, a set-valued mapping with G-KKM property is defined and a generalization of minimax theorem for set-valued maps with G-KKM property on generalized convex space is established. As a consequence of this results we verify the coincidence theorem for set-valued maps with G-KKM property on G-convex space. Finally, we apply our results to the best approximation problem and fixed point problem.
@article{bwmeta1.element.bwnjournal-article-div18i1-2n6bwm,
author = {Lai-Jiu Lin and Ching-Jung Ko and Sehie Park},
title = {Coincidence theorems for set-valued maps with g-kkm property on generalized convex space},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
volume = {18},
year = {1998},
pages = {69-85},
zbl = {0941.47044},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-div18i1-2n6bwm}
}
Lai-Jiu Lin; Ching-Jung Ko; Sehie Park. Coincidence theorems for set-valued maps with g-kkm property on generalized convex space. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 18 (1998) pp. 69-85. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-div18i1-2n6bwm/
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