延边大学学报：自然科学版
延邊大學學報：自然科學版
연변대학학보：자연과학판
Journal of Yanbian University：Natural Science
2012年
1期
7-12
,共6页
混合单调算子%次线性算子%u0-r完备Archimedean型向量格%迭代序列
混閤單調算子%次線性算子%u0-r完備Archimedean型嚮量格%迭代序列
혼합단조산자%차선성산자%u0-r완비Archimedean형향량격%질대서렬
mixed monotone operator%sublinear operator%u0-r complete Archimedean vector iattice%iterative order
在u0-r完备Archimedean型向量格中利用半序的方法研究了一类带有次线性扰动的算子方程组,在非紧非连续的假设下证明了不动点的存在唯一性,并给出了迭代误差估计式.
在u0-r完備Archimedean型嚮量格中利用半序的方法研究瞭一類帶有次線性擾動的算子方程組,在非緊非連續的假設下證明瞭不動點的存在唯一性,併給齣瞭迭代誤差估計式.
재u0-r완비Archimedean형향량격중이용반서적방법연구료일류대유차선성우동적산자방정조,재비긴비련속적가설하증명료불동점적존재유일성,병급출료질대오차고계식.
By using the partial order method,we discuss the existence and uniqueness of solutions of a class of systerms of mixed monotone operator equations with sublinear perturbation without any compactness or continuity conditions in u0-r complete Archimedean vector lattice,and the iteration sequences which converge to solution of operator equations and the error estimates are given.
