乐山师范学院学报
樂山師範學院學報
악산사범학원학보
JOURNAL OF LESHAN TEACHERS COLLEGE
2014年
12期
26-33,38
,共9页
广义似平衡问题%k-严格伪映象%不动点问题
廣義似平衡問題%k-嚴格偽映象%不動點問題
엄의사평형문제%k-엄격위영상%불동점문제
Generalized Equilibrium-like Problem%k-Pseudo-Contraction Mapping%Fixed Point Problem
在Hilbert空间中,用FAN-KKM定理导出了广义似平衡问题的辅助问题的解的存在性和唯一性,在适当的条件下,引入和研究了一种新的混合迭代序列,用以寻求广义似平衡问题的解集与一个k-严格伪压缩映象的不动点集的公共元。
在Hilbert空間中,用FAN-KKM定理導齣瞭廣義似平衡問題的輔助問題的解的存在性和唯一性,在適噹的條件下,引入和研究瞭一種新的混閤迭代序列,用以尋求廣義似平衡問題的解集與一箇k-嚴格偽壓縮映象的不動點集的公共元。
재Hilbert공간중,용FAN-KKM정리도출료엄의사평형문제적보조문제적해적존재성화유일성,재괄당적조건하,인입화연구료일충신적혼합질대서렬,용이심구엄의사평형문제적해집여일개k-엄격위압축영상적불동점집적공공원。
In Hilbert Spaces, by using the FA N-KKM theorem,the existence and uniqueness of solu-tions of the auxiliary problem for generalized equilibrium-like problem is derived. Under suitable conditions, it is proven that a new hybrid iterative scheme converge strongly to a common element of the set of solutions of a generalized equilibrium-like problem and the set of fixed points of a k- strict pseudo-contraction map-ping.