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1)  Nonlinear alternative
非线性二择一
1.
By means of nonlinear alternative for nonexpansive mappings,some new fixed point theorems of contraction mappings are obtained.
利用非扩张映射的非线性二择一性质,得到了Hilbert空间中非扩张映射的若干新不动点定理,从而推广了著名的非扩张映射Altman定理、Roth定理和Petryshyn定理。
2.
In this paper,by means of nonlinear alternative for weakly sequentially continuous semi-closed 1-set contraction mappings,some new fixed point theorems of contraction mappings are obtained.
利用弱序列连续的半闭1-集压缩映射的非线性二择一性质,得到了Banach空间中弱序列连续的半闭1-集压缩映射的若干新不动点定理,从而将著名的Altman定理、Roth定理和Petryshyn定理由压缩映射推广到弱序列连续的半闭1-集压缩映射的情形。
3.
By means of nonlinear alternative for nonexpansive mappings,fixed point theorems of contraction mappings are obtained.
利用Hilbert空间非扩张映射非线性二择一性质,得到非扩张映射的2个不动点定理,这些定理推广了著名的Roth定理和Petryshyn定理及文中的定理5至定理9。
2)  nonlinear alternative
非线性抉择
1.
By using a nonlinear alternative of LeraySchauder type, the existence of positive solutions to a secondorder difference system of boundaryvalue problems Δ2u1(k)+f1(k,u1(k),u2(k))=0k∈Δ2u2(k)+f2(k,u1(k),u2(k))=0k∈u1(0)=u1(T+2)=0=u2(0)=u2(T+2)is proved.
依据Leray Schauder型非线性抉择对差分系统Δ2u1(k)+f1(k,u1(k),u2(k))=0　k∈[0,T]Δ2u2(k)+f2(k,u1(k),u2(k))=0　k∈[0,T]u1(0)=u1(T+2)=0=u2(0)=u2(T+2)给出了一个存在性定理。
2.
By using Green function and nonlinear alternative,constructing suitable Banach space and applying the technique of integral equation,an existence theorem was obtained for the problem when the nonlinear term satisfies the conditi.
利用Green函数和非线性抉择,通过构造适当的Banach空间,并且利用积分方程技巧在非线性项满足函数型线性增长的条件下获得了该问题的一个存在定理。
3)  Leray-Schauder nonlinear alternative
Leray-Schauder非线性抉择
1.
When nonlinear term f satisfied a restriction of linear growth,by constructing a suitable Banach space and applying the Leray-Schauder nonlinear alternative,an existence theorem was proved.
在非线性项f满足线性增长的限制条件下,通过构造适当的Banach空间并利用Leray-Schauder非线性抉择,证明了一个存在性定理。
2.
When the nonlinear term f satisfies a restriction of linear growth,by constructing a suitable Banach space and applyingthe Leray-Schauder nonlinear alternative,an existence theorem is proved.
通过构造适当的Banach空间并利用Leray-Schauder非线性抉择证明了一个存在定理。
4)  Nonlinear alternative of Leray-Schauder
Lerny-Schauder非线性抉择
5)  nonlinear preferential attachment
非线性择优连接
6)  partially nonlinear
一列非线性
补充资料：非半择迦
【非半择迦】
　　梵语半择迦，华言变。谓有能变男女之形，即五种不男之一也。今言非者，非是不男，非仆非女，能修梵行，故名丈夫。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
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