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Strong Convergence Theorems of Common Elements for Equilibrium Problems and Fixed Point Problems in Banach Spaces 被引量:8
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作者 Xing-hui GAO Hai-yun ZHOU 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2012年第2期337-350,共14页
In this paper, we consider hybrid algorithms for finding common elements of the set of common fixed points of two families quasi-C-non-expansive mappings and the set of solutions of an equilibrium problem. We establis... In this paper, we consider hybrid algorithms for finding common elements of the set of common fixed points of two families quasi-C-non-expansive mappings and the set of solutions of an equilibrium problem. We establish strong convergence theorems of common elements in uniformly smooth and strictly convex Banach spaces with the property (K). 展开更多
关键词 strong convergence PROJECTION quasi-Ф-nonexpansive mapping common elements theproperty (K)
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Perturbed Proximal-Projection Methods for Nonlinear Mixed Variational-Like Inequalities
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作者 Chang Jie FANG 《Journal of Mathematical Research and Exposition》 CSCD 2010年第1期127-140,共14页
In this paper we introduce a new perturbed proximal-projection algorithm for finding the common element of the set of fixed points of non-expansive mappings and the set of solutions of nonlinear mixed variational-like... In this paper we introduce a new perturbed proximal-projection algorithm for finding the common element of the set of fixed points of non-expansive mappings and the set of solutions of nonlinear mixed variational-like inequalities. The convergence criteria of the iterative sequences generated by the new iterative algorithm is also given. Our approach and results generalize many known results in this field. 展开更多
关键词 nonlinear mixed variational-like inequalities perturbed proximal-projection methods common elements nonexpansive mappings relaxed (γ r)-cocoercive mappings.
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Preliminary design of a laser accelerator beam line
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作者 尚勇 朱昆 +5 位作者 曹超 朱军高 陈元荣 郭之虞 陈佳洱 颜学庆 《Chinese Physics C》 SCIE CAS CSCD 2014年第11期107-110,共4页
A compact laser plasma accelerator (CLAPA) an RPA-PSA mechanism or other acceleration mechanisms is being built at Peking University, which is based on The beam produced by this laser accelerator has the characteri... A compact laser plasma accelerator (CLAPA) an RPA-PSA mechanism or other acceleration mechanisms is being built at Peking University, which is based on The beam produced by this laser accelerator has the characteristics of short duration, high pulse current, large divergence angle, and wide energy spectrum. The beam cannot be produced by a normal ion source and accelerator. The space charge field in the initial is very strong. According to the beam parameters from preparatory experiments and theoretical simulations, a compact beam line is preliminarily designed. The beam line mainly consists of common transport elements to deliver proton beam with the energy of 1 50 MeV, energy spread of 0-±1% and current of 0-10^8 proton per pulse to satisfy the requirement of different experiments. The simulation result of a 15 MeV proton beam with an energy spread of ±1%, current of 400 mA, and final spot radius of 9 mm is presented in this paper. 展开更多
关键词 laser plasma accelerator beam line common transport elements
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