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排序方式: 共有457条查询结果,搜索用时 55 毫秒
1.
Ngoc Hai Trinh 《Optimization》2017,66(3):381-396
In this paper, we introduce a new definition of Lipschitz-type continuity of a bifunction. Using this definition, we prove the contraction of the proximal mapping and apply it to the equilibrium problem over the fixed-point set of a nonexpansive mapping. We present a new algorithm for this problem. Under classical conditions, the convergence of the algorithm is proved. Finally, we present some numerical results for the proposed algorithm. 相似文献
2.
In this paper, we use techniques which originate from proof mining to give rates of asymptotic regularity and metastability for a sequence associated to the composition of two firmly nonexpansive mappings. 相似文献
3.
罗元松 《应用数学和力学(英文版)》2001,22(4):478-482
IntroductionandPreliminariesThroughoutthispaper,weassumethatHisarealHilbertspace ,〈· ,·〉istheinnerproductonH ,PisaconeinH .ByvirtueofthecomeP ,anorder“≤”isinducedinH ,i.e .,foranygivenx,y∈H ,x≤yifandonlyify -x∈P .Amulti_valuedmappingA :D(A) H → 2 Hissaidtobeaccretiv… 相似文献
4.
The purpose of this paper is to study a new two-step iterative scheme with mean errors of mixed type for two asymptotically nonexpansive self-mappings and two asymptotically nonexpansive nonself-mappin... 相似文献
5.
In this article, we prove some strong and weak convergence theorems for quasi-nonexpansive multivalued mappings in Banach spaces. The iterative process used is independent of Ishikawa iterative process and converges faster. Some examples are provided to validate our results. Our results extend and unify some results in the contemporary literature. 相似文献
6.
In this paper, we consider a hybrid projection method for finding a common element in the set of fixed points of a infinite family of asymptotically quasi-?-nonexpansive mappings and in the set of solutions of a generalized mixed equilibrium problem. Some strong convergence theorems of common elements are established in a uniformly smooth and strictly convex Banach space which has the Kadec-Klee property. The results presented in the paper improve and extend some recent results. 相似文献
7.
Qian Yan 《Numerical Functional Analysis & Optimization》2013,34(13):1351-1373
AbstractThe aim of this paper is to introduce the generalized viscosity implicit rules of one asymptotically nonexpansive mapping in the intermediate sense in Hilbert spaces. We obtain some strong convergence theorems under certain assumptions imposed on the parameters. We also give a numerical example to support our main results. The results obtained in this paper improve and extend many recent ones in this culture. 相似文献
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In this paper we study hybrid iterative scheme for finding a common element of set of solutions of generalized mixed equilibrium problem, set of common fixed points of finite family of weak relatively nonexpansive mapping and null spaces of finite family of γ-inverse strongly monotone mappings in a 2-uniformly convex and uniformly smooth real Banach space. Our results extend, improve and generalize the results of several authors which are announced recently. Application of our theorem to solution of equations of Hammerstein-type is of independent interest. 相似文献