集值映象的某些重合定理
Some Coincidence Theorems of Set-Valued Mappings
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摘要: Browder[1]已得到了Schauder不动点定理的加强形式.许多作者从不同方向推广了Browder的结果.最近H.M.Ko;K.K.Tan[2]在放松紧性条件下得到了Browder定理的改进,K.K.Tan[3]将Browder定理推广到了集值映象对的重合定理,在本文中我们得到了集值映象对的某些重合定理,它们分别改进和推广了[1,2,3]中主要结果.Abstract: Browder[1] obtained the sharpened forms of the Schauder fixed point theorem. Many authors generalized Browder's results in several aspects. Recently, H.M. Ko and K.K. Tan[2,3] generalized Browder's theorems to the coincidence theorems of set-valued mappings. In this paper, we also show some coincidence theorems of set-valued mappings. They improve and generalize the important results in [1,2,3].
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[1] Browder,F.E.,On a sharpened form of the Schauder fixed point theorem,Proc.Nat.Acad.Sci.USA.74(1977),4749-4751. [2] Ko,H.M.and K.K Tan.,A coincidence theorem with applications to minimax inequalities and fixed point tneorems.Tamkang J.Math.,17(1986),37-45. [3] Tan,K.K.,Generalizations of F.E.Browder's sharpened form of the Schauder fixed point theorem,J.Austral.Math.Soc.,42(1987). [4] Browder,F.E.,Coincidence theorems,minimax theorems,and variational inequalities,Contemp.Math.,26(1984).67-80. -
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