曲靖师范学院学报
麯靖師範學院學報
곡정사범학원학보
JOURNAL OF QUJING NORMAL COLLEGE
2011年
6期
25-29
,共5页
非扩张映射%不动点%黏性逼近方法%范数一致Gateaux可微
非擴張映射%不動點%黏性逼近方法%範數一緻Gateaux可微
비확장영사%불동점%점성핍근방법%범수일치Gateaux가미
nonexpansive mapping%fixed point%viscosity approximation methods%uniformly G-differentiable norm
借助Banach空间中非扩张映射的黏性逼近方法,在范数一致Gateaux可微的Banach空间中,提出一种改进的黏性迭代算法,证明了由该黏性迭代算法生成的序列强收敛于一类非扩张映射的不动点.推广了一些文献中的研究成果.
藉助Banach空間中非擴張映射的黏性逼近方法,在範數一緻Gateaux可微的Banach空間中,提齣一種改進的黏性迭代算法,證明瞭由該黏性迭代算法生成的序列彊收斂于一類非擴張映射的不動點.推廣瞭一些文獻中的研究成果.
차조Banach공간중비확장영사적점성핍근방법,재범수일치Gateaux가미적Banach공간중,제출일충개진적점성질대산법,증명료유해점성질대산법생성적서렬강수렴우일류비확장영사적불동점.추엄료일사문헌중적연구성과.
By viscosity approximation methods,a new viscosity iterative algorithm is introduced.The iterative sequences generated by the algorithm converge into the fixed points of a nonexpansive mapping in unifo-rmly G-differentiable Banach spaces are proved.The present results improve and extend many known results in the literature.
