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In this paper, we define a generalized relative degree for A-proper mappings from a relative open subset of a Banach space into another Banach space and introduce the concepts of generalized P-compact and P_1-compact mappings. Next, we show several existence theorems of positive solutions for the equations involving these mappings. Our theorems improve and extend some recent results. 相似文献
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In this paper, we define a generalized relative degree for A-proper mappings from a relative open subset of a Banach space
into another Banach space and introduce the concepts of generalized P-compact and P1-compact mappings. Next, we show several existence theorems of positive solutions for the equations involving these mappings.
Our theorems improve and extend some recent results. 相似文献
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本文定义了从一个Banach空间的相对开子集到另一个Banach空间的A-proper映象的广义相对拓扑度并且引入了广义P-紧和P1-紧概念.其次,我们证明了含这些映象的方程的正解存在性定理.我们的定理改进和推广了最近的一些结果. 相似文献
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In this paper,the class of uniform limit mappings of set-valued,strick set-contractivemappings is discussed.Furthermore,the fixed point index theory for the uniform limitmappings is established.Using the fixed point index theory,some positive fixed pointtheorems are proved.Our theorems generalize some results in[1,4,5,7]. 相似文献
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本文应用A-proper映象的不动点指数理论(见[4]、[7]),获得了P_I-紧映象的一个多解结果,它类似于全连续映象,k-集压缩映象,k∈[0,1),凝聚映象和半紧1-集压缩映象的相应结论,这里的证明方法不同于上述文献中相应定理的证明,结果改进了[9—10]、[12]、[14]中相应结论。 设F是具有完备投影逼近格式Γ={X_n,P_n}的Banach空间X中一闭凸集使得P_n(F) 相似文献
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In this paper, we study minimal and maximal fixed point theorems and iterative technique for nonlinear operators in product spaces. As a corollary of our result, some coupled fixed point theorems are obtained, which generalize the coupled fixed point theorems obtained by Guo Da-jun and Lankshmikanthamt and the results obtained by Lan in, and. 相似文献
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