应用泛函分析学报
應用汎函分析學報
응용범함분석학보
ACTA ANALYSIS FUNCTIONALIS APPLICATA
2011年
1期
7-12
,共6页
非扩张映像%一致Gateaux可微范数%复合Halpern迭代
非擴張映像%一緻Gateaux可微範數%複閤Halpern迭代
비확장영상%일치Gateaux가미범수%복합Halpern질대
nonexpansive mappings%uniformly G(a)teaux differentiable norm%composite halpern iteration
在具有G-可微范数的Banach空间中证明非扩张映像的复合Halpern型迭代的强收敛定理.该结论不需要使用连续道路Zt,证明方法更简单,条件比Qin X更弱.
在具有G-可微範數的Banach空間中證明非擴張映像的複閤Halpern型迭代的彊收斂定理.該結論不需要使用連續道路Zt,證明方法更簡單,條件比Qin X更弱.
재구유G-가미범수적Banach공간중증명비확장영상적복합Halpern형질대적강수렴정리.해결론불수요사용련속도로Zt,증명방법경간단,조건비Qin X경약.
The aim of this article is to proof strong convergence of the composite haipern type iteration for a non-expansive mapping defined on a Banach space with a uniformly G(a)teaux differentiable norm.We don't need the implicit anchor-like continuous path Zt in the proof.Our method is simpler and the condition is weaker than Qin, et al.
