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101.
在Hilbert空间中引进并研究一种新的复合粘性迭代算法,借以寻求有限个平衡问题的公共解集与非扩张映象不动点集的一个公共元素.所得结果改进并推广了最近一些人的最新结果. 相似文献
102.
103.
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
104.
Liya Liu Xiaolong Qin Jen‐Chih Yao 《Mathematical Methods in the Applied Sciences》2019,42(18):7367-7380
The purpose of this paper is to introduce a hybrid descent algorithm for finding a common point in fixed‐point sets of quasi‐nonexpansive mappings and solution sets of variational inequality problems. In the framework of Hilbert spaces, the strong convergence of the hybrid descent algorithm is established. Numerical experiments for the bandwidth allocation, which demonstrate the effectiveness, performance, and convergence of the proposed algorithm, are provided. 相似文献
105.
本文讨论了集值非扩张映象列的Ishikawa迭代过程的收敛性及确保迭代过程收敛到公共不动点的条件.所得结果是单值非扩张映射情形的推广和发展. 相似文献
106.
In this paper we study the homogeneous relativistic heat equation (HRHE) obtained as asymptotic limit of the so-called relativistic
heat equation (RHE) when the kinematic viscosity ν → ∞. These equations were introduced in the theory of radiation hydrodynamics
to guarantee a bounded speed of propagation of radiating energy. We shall prove that this is indeed true, and we shall construct
some explicit solutions of the HRHE exhibiting fronts propagating at light speed. 相似文献
107.
Patrick N. Dowling 《Acta Mathematica Hungarica》2006,112(1-2):85-88
Summary Amini-Harandi proved that alternate convexically nonexpansive mappings on non-empty weakly compact convex subsets of strictly
convex Banach spaces have fixed points. We prove that Amini-Harandi's result holds also in Banach spaces with the Kadec--Klee
property and the result is true for a larger class of mappings. Moreover, we show that the Alspach mapping in L1[0,1] is not a 2-alternate convexically nonexpansive mapping. 相似文献
108.
In this paper, we study the matrix multiplication operators on Banach function spaces and discuss their applications in semigroups
for solving the abstract Cauchy problem. 相似文献
109.
110.
Claus Müller 《Journal of Mathematical Analysis and Applications》2002,269(2):401-420
We extend the Trotter-Kato theorem on C0-semigroups to local convoluted semigroups on dual spaces and apply these results to the general Banach space setting. Compared to known results we obtain weaker convergence assumptions on the resolvent. 相似文献