Fixed points of upper semicontinuous mappings in locally G-convex spaces
1998 ◽
Vol 58
(3)
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pp. 469-478
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Keyword(s):
In this paper a new fixed point theorem for upper semicontinuous set-valued mappings with closed acyclic values is established in the setting of an abstract convex structure – called a locally G-convex space, which generalises usual convexity such as locally convex H-spaces, locally convex spaces (locally H-convex spaces), hyperconvex metric spaces and locally convex topological spaces. Our fixed point theorem includes corresponding Fan-Glicksberg type fixed point theorems in locally convex H-spaces, locally convex spaces, hyperconvex metric space and locally convex spaces in the existing literature as special cases.
2001 ◽
Vol 27
(11)
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pp. 701-706
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Keyword(s):
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1976 ◽
Vol 62
(2)
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pp. 561-567
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2003 ◽
Vol 16
(2)
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pp. 163-170
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1992 ◽
Vol 15
(3)
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pp. 435-439
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1994 ◽
Vol 17
(4)
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pp. 681-686
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