非连续∑_(i=1)~mC_iB_i型混合单调算子的耦合不动点及其应用  

Coupled fixed points of discontinuous ∑_(i = 1)~mC_iB_i mixed monotone operators and applications

作　　者：姜鑫[1] 薛西锋[1] 

机构地区：[1]西北大学数学系,陕西西安710127

出　　处：《西北大学学报（自然科学版）》2014年第3期363-366,369,共5页Journal of Northwest University（Natural Science Edition）

基　　金：陕西省自然科学基金资助项目(2012JM1017)

摘　　要：探究非连续∑mi=1CiBi型混合单调算子的耦合不动点和含有间断项的混合单调Volterra积分方程的耦合拟解的存在性。证明了非连续∑mi=1CiBi型混合单调算子存在最大和最小耦合不动点,以及Banach空间中含有间断项的∑mi=1CiBi型混合单调Volterra积分方程存在最大和最小耦合拟解。推广了已知结果,使其适用范围更广。m To find out the existence of coupled fixed points for discontinuous Σmi=1CiBi mixed monotone operators and coupled quasi-solutions for mixed monotone Volterra integral equations with discontinuous terms. The existence of coupled maximal and minimal fixed points for discontinuous Σmi=1CiBi mixed monotone operatorsand coupled maximal and minimal quasi-solutions for Σmi=1CiBi mixed monotone Volterra integral equations with discontinuous terms in Banach space were proved. The obtained results improve the related known works.

关 键 词：半序加群 混合单调算子 耦合不动点 耦合拟解 

分 类 号：O177.91[理学—数学]