q一致光滑的Banach空间中有限个λ-严格伪压缩映射公共不动点的一种新迭代方法
Common fixed points of new iterations for an finite family of strict pseudo-contractions in q-uniformly smooth banach spaces
摘要
介绍了在q一致光滑的Banach空间中有限个λ-严格伪压缩映射公共不动点的一种新混合迭代方法。在满足某些适当的假设条件下,得到了强收敛定理。
In this paper, we introduce a new composite iterative process for computing fixed points of a finite family strict pseu- do - contractions in the framework of Banach spaces. Then, we establish the strong convergence of the proposed iterativeseheme under some mild conditions. Our results improve and extend the recentcorresponding resuhs.
出处
《湖北师范学院学报（自然科学版）》
2011年第2期78-86,共9页
Journal of Hubei Normal University(Natural Science)
参考文献25
-
1Byrne C. A unified treatment of some iterative algorithms in signal processing and imagereconstration[ J]. Inverse Prob- lems ,2004,20 : 103 - 120.
-
2Combettes P L. On the numerical robustness of the parallel projection method in signalsynthesis[ J]. IEEE signal Process Lett,2001,8:45 - 47.
-
3Combettes P L. The convex feasibility problem in image recovery , in:P. Hawkes (Ed.) [ J ]. Advances In Imagingand Electron Physics, New York Academic, 1996,95 : 155 - 270.
-
4Bruck R E. Properties of fixed point sets of nonexpensive mappings in Banach spaces [ J ]. Trans Amer Math Soc, 1973, 179 : 251 - 262.
-
5Ceng L C, Cubiotti P, Yao J C. Strang convergence Theorems for finitely many nonexpansive mappings and applications [ J]. Nonlinear Anal ,2007,67 : 1464 - 1473.
-
6Hu L G. Strong convergence of a modified Halpem- iteration for nonexpansive mappings[ J ]. Fixed Point Theory Appl, 2008,10:1155 - 1162.
-
7Takahashi W, Shimoji K. Convergence theorems for nonexpansive mappings and feasibility Problems [ J ]. Math Comput Modelling,2000,32 : 1463 - 1471.
-
8Takahashi W, Tamura T. Limit theorems of operators by convex combinations for nonexpansive Retractions in Banach spaces[ J]. J Approx Theory, 1997,91:386 - 397.
-
9Takahashi W. Fixed point theorems and nonlinear ergodic theorems for nonlinear semigroups And their applications [ J ]. Nonlinear Anal, 1997,30 : 1283 - 1293.
-
10Suzuki T. Strong convergence theorems for infinite families of nonexpansive mappings in General Banach spaces [ J ]. Fixed Point Theory Appl,2005,1 : 103 - 123.
-
1宋燕来,尹婷婷,胡长松.Banach空间中一列λ-严格伪压缩映射的强收敛定理[J].湖北师范学院学报（自然科学版）,2011,31(2):70-77.
-
2林正华.牛顿与二阶拟牛顿混合迭代方法[J].高等学校计算数学学报,1994,16(3):217-224. 被引量：7
-
3马剑鹏,何中全.一类非扩张映射可数族公共不动点的带误差项的修正Ishikawa迭代算法[J].四川理工学院学报（自然科学版）,2013,26(1):82-86.
-
4王海涛,周必方.光学综合孔径干涉成像技术[J].光学精密工程,2002,10(5):434-442. 被引量：19
