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學校2044彩票 圖書館(日照校區) 舊版2044彩票

學術報告

 

報告人:車海濤博士

報告地點:JC819

 

時間:324日下午2:00-3:00

題目: A simultaneous iterative method for split equality problems

摘要: In this article, we first introduce the concept of -mapping of a finite family of strictly pseudononspresding mapping , and we show that the fixed point set of the -mapping is the set of common fixed points of  and is a quasi-nonexpansive mapping. Based on the concept of -mapping, we propose a simultaneous iterative algorithm to solve split equality problem with a way of selecting the stepsizes which does not need any priori information about the operator norms. The sequences generated by the algorithm weakly converge to a solution of split equality problem of two finite families of strictly pseudononspresding mappings. Furthermore, we apply our iterative algorithms to some convex and nonlinear problems. Finally, several numerical results are shown to confirm the feasibility and efficiency of the proposed methods.

 

時間:325日下午2:00-3:00

題目A new iterative method for the extended split equality problem and the extended split equality fixed point problem

摘要:In this article, we first propose an extended split equality problem which is an extension of the convex feasibility problems, and then introduce a parameter w to establish the fixed point equation system. We show the equivalence of the extended split equality problem and the fixed point equation system. Based on the fixed point equation system, we propose a simultaneous iterative algorithm and obtain the weak convergence of the proposed algorithm. Further, by introducing the concept of G-mapping of a finite family of strictly pseudononspreading mapping, we consider an extended split equality fixed point problem for G-mapping and propose a simultaneous iterative algorithm with a way of selecting the stepsizes which do not need any prior information about the operator norms, and the weak convergence of the proposed algorithm is obtained. We apply our iterative algorithms to some convex and nonlinear problems. Finally, several numerical results are shown to confirm the feasibility and efficiency of the proposed methods.

車海濤,理學博士2044彩票,副教授2044彩票,濰坊學院數學與信息科學學院教師。2013年博士畢業于曲阜師范大學應用數學專業,目前主要從事最優化理論與算法以及偏微分方程數值方法等方面的研究2044彩票,在《Applied Mathematics and Computation》、《Journal of Computational and Applied Mathematics》以及《Numerical Methods for Partial Differential Equations》等國內外學術刊物發表具有一定學術影響力的SCI論文12篇2044彩票,現主持國家自然科學基金和山東省高??萍加媱濏椖扛饕豁?。榮獲山東省研究生優秀科技創新成果獎,山東省高等學校優秀科研成果獎三等獎,濰坊市自然科學獎三等獎,曲阜師范大學校長科研獎勵基金2044彩票,濰坊學院優秀科研成果獎一等獎各一項?,F為美國《數學評論》評論員2044彩票。

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