Menger PN-空间中两类混合单调算子新的公共不动点定理  

New Common Fixed Point Theorems of Two Classes Mixed Monotone Operators in Menger PN-space

作　　者：揭成斌[1] 朱传喜[1] 

机构地区：[1]南昌大学数学系,南昌330031

出　　处：《应用泛函分析学报》2011年第1期100-107,共8页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金(10761007);江西省自然科学基金(2007GZS2051)

摘　　要：在Menger PN-空间,引入(C_0)类压缩型算子半群的有关概念.研究了两类混合单调算子新的公共不动点的存在与唯一性,不要求算子具有任何紧性、凹凸性和连续性,从而获得一些新的结论,改进和推广Banach空间中的有关研究结论.In this paper, some related concepts of C0-semigroups of contractive types are introduced in Menger PN-spaces. We investigate the existence and uniqueness of common fixed points of two classes mixed monotone operators, and these operators are not need of compactness, convex-concave and continuity. As a result, some new common fixed point theorems of mixed monotone operators are obtained in Menger PN-spaces. Our results generalize and extend many authors＇ recent related results in Banach space.

关 键 词：锥 算子半群 混合单调算子 

分 类 号：O177.91[理学—数学]