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121.
Phatiphat Thounthong Nuttapol Pakkaranang Phachara Saipara Pawicha Phairatchatniyom Poom Kumam 《Mathematical Methods in the Applied Sciences》2019,42(17):5929-5943
The objective of this article is to establish a new modified iteration process for nonexpansive mappings in complete CAT(κ) spaces. We prove strong and Δ‐convergence theorems of the proposed method in such spaces under some standard conditions. Furthermore, numerical experiments of non‐trivial examples are also provided to show performance and comparison speed of convergence with many previously known methods. Our main result extended and improved the corresponding recent results announced by many researchers. 相似文献
122.
We extend our work on the optimal mapping of distributions in three directions: (a) we consider any set-valued mapping, not just diffeomorphisms; (b) we distinguish between weak and strong optimality, and identify strong optimality with cyclic monotonicity; and (c) we prove that, under some restrictions, a weakly optimal mapping has the subgradient property. 相似文献
123.
The main purpose of this paper is to establish the mapping relation between metric spaces and sn-metric spaces. 相似文献
124.
We present an example showing that the multilinear version of the Bartle-Graves Selection Theorem is false, even on finite dimensional spaces.
125.
Necessary conditions for optimal controls have been obtained for strongly monotone variational inequalities by the penalty method, Ekeland's Variational Principle, and lower-semicontinuity of set-valued mappings. It has been shown that these conditions are easy to apply and can imply some known necessary conditions. They also yield new optimality conditions. 相似文献
126.
D. Han 《Applied Mathematics and Optimization》2002,45(1):63-74
The alternating direction method is an attractive method for solving large-scale variational inequality problems whenever
the subproblems can be solved efficiently. However, the subproblems are still variational inequality problems, which are as
structurally difficult to solve as the original one. To overcome this disadvantage, in this paper we propose a new alternating
direction method for solving a class of nonlinear monotone variational inequality problems. In each iteration the method just
makes an orthogonal projection to a simple set and some function evaluations. We report some preliminary computational results
to illustrate the efficiency of the method.
Accepted 4 May 2001. Online publication 19 October, 2001. 相似文献
127.
丘维敦 《数学的实践与认识》2005,(3)
完美非线性映射在原差分攻击中起着重要作用 .对任意素数 p,任意偶数 n,任意正整数m m n2 ,构造了一批 Znp 到 Zmp 的完美非线性映射 . 相似文献
128.
The notion of infinitesimal exceptional family of elements for an ordered pair of mappings is introduced. By using a special inversion mapping, a duality between the exceptional family of elements for an ordered pair of mappings and the infinitesimal exceptional family of elements for an ordered pair of mappings is presented. By using this duality and the notion of scalar derivatives, existence theorems for implicit complementarity problems in Hilbert spaces are presented.Communicated by F. A. PotraThe second author was supported by the Hungarian Research Grants OTKA T043276 and T043241. 相似文献
129.
130.
In this paper, a necessary and sufficient conditions for the strong convergence to a common fixed point of a finite family of continuous pseudocontractive mappings are proved in an arbitrary real Banach space using an implicit iteration scheme recently introduced by Xu and Ori [H.K. Xu, R.G. Ori, An implicit iteration process for nonexpansive mappings, Numer. Fuct. Anal. Optim. 22 (2001) 767-773] in condition αn∈(0,1], and also strong and weak convergence theorem of a finite family of strictly pseudocontractive mappings of Browder-Petryshyn type is obtained. The results presented extend and improve the corresponding results of M.O. Osilike [M.O. Osilike, Implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps, J. Math. Anal. Appl. 294 (2004) 73-81]. 相似文献