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强单调映象
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  strongly monotone mapping
     In this paper, considering the monotone operator from A in X into X, we show that the principle of acute angles, Minty-Browder's theorem and the principle of strongly monotone mapping are still valid, however , X and X need not to be reflective.
     本文对一般Banach空间X,考虑X~*的子集A到X的单调算子,不需要假设X及X~*自反,证明了单调算子的锐角原理,Minty-Browder定理及强单调映象原理.
短句来源
  strongly monotone operator
     In chapter I, we mainly use the strongly monotone operator principle and the critical point theory to discuss a kind of fourth-order two-point boundary value problem.
     在第一章中,我们主要利用强单调映象原理和临界点理论对一类非线性四阶两点边值问题进行了讨论。
短句来源
  “强单调映象”译为未确定词的双语例句
     Generalized Nonlinear Quasi-variational Inclusions withψ-strongly Monotone Mappings
     带ψ-强单调映象的广义非线性拟变分包含(英文)
短句来源
     In this paper, the author introduces and studies a new class of generalized nonlinear quasi-variational inclusions with ψ-strongly monotone mappings, and establish an existence theorem of solutions and constructs a new proximal point algorithm with errors for finding the approximate solutions for this class of generalized nonlinear quasi-variational inclusions by using the resolvent operator technique for maximal η-monotone mapping in Hilbert spaces. The convergence criteria for the algorithm is also discussed.
     引入了一类新的带ψ 强单调映象的广义非线性拟变分包含. 在Hilbert空间中使用极大η 单调映象的预解算子方法建立了这类变分包含解的存在性定理,构造了求此类变分包含解具误差的新迭代算法,并讨论了算法的收敛准则.
短句来源
  相似匹配句对
     Generalized Nonlinear Quasi-variational Inclusions withψ-strongly Monotone Mappings
     带ψ-单调映象的广义非线性拟变分包含(英文)
短句来源
     ON THE SURJECTIVITY OF MAPPINGS OF MONOTONE TYPE
     单调映象之满射性
短句来源
     The Ishikawa Iterative Algorithms to Solutions of Browder Variational Inequalities with Φ-Strongly Monotone and Semicontinuous Mapping
     Φ-单调半连续映象的Browder变分不等式解的Ishikawa迭代算法
短句来源
     A Generalization of zero Point Theorem of Maximal Monotone Mapping
     极大单调映象的零点定理的推广
短句来源
     On the Ball Iterative Method for Strongly Monotone Operator Equation
     关于单调算子方程的球形迭代法
短句来源
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  strongly monotone mapping
In this paper we discuss the variational inequality problems VIP(X, F), where F is assumed to be a strongly monotone mapping from ?n to ?n, and the feasible set X = [l, u] has the form of box constraints.
      
  strongly monotone mappings
The obtained result generalizes the results on nonlinear variational inequalities on monotone and strongly monotone mappings.
      


Let X be a Banach space, X be the dual space of X. In this paper, considering the monotone operator from A in X into X, we show that the principle of acute angles, Minty-Browder's theorem and the principle of strongly monotone mapping are still valid, however , X and X need not to be reflective.

设X为Banach空间,X~*是它的共轭空间,在X自反的情形下,关于X的子集D到X~*的单调算子成立锐角原理.本文对一般Banach空间X,考虑X~*的子集A到X的单调算子,不需要假设X及X~*自反,证明了单调算子的锐角原理,Minty-Browder定理及强单调映象原理.

In this paper, the author introduces and studies a new class of generalized nonlinear quasi-variational inclusions with ψ-strongly monotone mappings, and establish an existence theorem of solutions and constructs a new proximal point algorithm with errors for finding the approximate solutions for this class of generalized nonlinear quasi-variational inclusions by using the resolvent operator technique for maximal η-monotone mapping in Hilbert spaces. The convergence criteria for the algorithm is also discussed....

In this paper, the author introduces and studies a new class of generalized nonlinear quasi-variational inclusions with ψ-strongly monotone mappings, and establish an existence theorem of solutions and constructs a new proximal point algorithm with errors for finding the approximate solutions for this class of generalized nonlinear quasi-variational inclusions by using the resolvent operator technique for maximal η-monotone mapping in Hilbert spaces. The convergence criteria for the algorithm is also discussed.

引入了一类新的带ψ 强单调映象的广义非线性拟变分包含.在Hilbert空间中使用极大η 单调映象的预解算子方法建立了这类变分包含解的存在性定理,构造了求此类变分包含解具误差的新迭代算法,并讨论了算法的收敛准则.

 
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