锥与半序
锥与半序的相关文献在1998年到2019年内共计102篇,主要集中在数学
等领域,其中期刊论文102篇、专利文献87728篇;相关期刊40种,包括商丘师范学院学报、商丘职业技术学院学报、宝鸡文理学院学报(自然科学版)等;
锥与半序的相关文献由72位作者贡献,包括张斐然、徐华伟、张庆政等。
锥与半序—发文量
专利文献>
论文:87728篇
占比:99.88%
总计:87830篇
锥与半序
-研究学者
- 张斐然
- 徐华伟
- 张庆政
- 许绍元
- 赵巧玲
- 吴焱生
- 张凯
- 赵晓晶
- 刘鸣放
- 李波
- 邵海成
- 孙一丹
- 宋益荣
- 崔艳兰
- 张彬
- 李闪
- 王宇翔
- 郝建丽
- 左秀会
- 徐望斌
- 时宗波
- 李俊强
- 李小娜
- 王大鹿
- 王建平
- 田素霞
- 赵树理
- 乔保民
- 关晓飞
- 冯邦钦
- 冯邦钦1
- 刘元健
- 刘燕
- 刘肖云
- 刘鸿运
- 原新生
- 史玉英
- 周秀琴
- 孙钦福
- 宋光兴
- 宋娜娜
- 宋福庆
- 崔卫东
- 崔群法
- 庞进生
- 张东梅
- 张文君
- 张瑛
- 李庆芳
- 杨敏
-
-
徐望斌;
许绍元
-
-
摘要:
引入弱凹凸混合单调算子,不要求紧性与连续性,利用半序方法和单调迭代技巧,在较弱的条件下得到了混合单调算子不动点存在唯一性,从而推广了若干具有某种凹凸性的混合单调算子,并将主要结果应用于非线性积分方程.
-
-
冯邦钦1;
许绍元2
-
-
摘要:
讨论一类具有特殊凹凸性的非线性算子时,只要求非线性算子具有混合单调性,并不要求其具有紧型条件或连续性条件。利用正锥理论和广义皮卡迭代序列,得到了非线性混合单调算子新的不动点定理。作为应用,在较弱的条件下,研究了N维欧氏空间上的非线性积分方程正解的存在性与唯一性。结果证明,新建立的混合单调算子不动点理论对非线性积分方程正解存在唯一性和迭代收敛性的研究具有重要意义。
-
-
冯邦钦;
许绍元
-
-
摘要:
讨论一类具有特殊凹凸性的非线性算子时,只要求非线性算子具有混合单调性,并不要求其具有紧型条件或连续性条件.利用正锥理论和广义皮卡迭代序列,得到了非线性混合单调算子新的不动点定理.作为应用,在较弱的条件下,研究了N维欧氏空间上的非线性积分方程正解的存在性与唯一性.结果证明,新建立的混合单调算子不动点理论对非线性积分方程正解存在唯一性和迭代收敛性的研究具有重要意义.
-
-
王建平;
闫学阳
-
-
摘要:
利用非线性泛函分析中的锥与半序理论和单调迭代方法,讨论了不具有连续性和紧性条件的非单调二元算子方程组解的存在唯一性,给出了迭代序列收敛于解的误差估计,所得结果是某些已知结果的本质改进和推广。%By using the cone and partail ordering theory,the monotonous iteration method in nonlinear funtional analysis,the existence and uniqueness of solutions of non-monotone binary operator system of equations without continuity and compactness conditions are studied. And the iteration sequences which converge to solution of operator equations and the error estimates are also given. The presented results improve and generalize some corresponding results.
-
-
徐华伟;
王大鹿
-
-
摘要:
In the study of nonlinear operators the tightness,convexity and continuity of operators are normally raked into account.When the cone is normal,some of these properties attached to operators can be ignored or weakened.Using the cone,partial order theory and non-symmetry iteration method,the existence and uniqueness to solutions to a class of anti-mixed monotone operator system of equations in Banach spaces are proved.The iteration sequences which converge to solution of operator equations and the error estimates are also given.As a generaliaztion,the existence and uniqueness of solutions of non-anti-mixed monotone operator system of equations are also discussed.The results presented here improve and generalize some corresponding results for mixed monotone operators.%在非线性算子的研究中,一般都要考虑到算子的紧性、凹凸性、连续性等,而在锥满足正规的前提下,可以忽略或者弱化算子附加的一些条件.运用锥与半序理论和非对称迭代方法,讨论半序Banach空间一类反向混合单调算子方程组解的存在惟一性,给出了迭代序列收敛于解的误差估计,并推广讨论了非反向混合单调算子方程组解的存在惟一性,所得结果改进和推广了混合单调算子方程某些已知相应结果,进一步完善了非线性算子的理论研究.
-
-
王大鹿
-
-
摘要:
运用锥与半序理论和非对称迭代方法,讨论半序Banach空间一类反向混合单调算子的不动点定理,并给出了迭代序列收敛于解的误差估计,并推广讨论了非反向混合单调算子的不动点定理,所得结果改进和推广了混合单调算子方程某些已知相应结果.%Using the cone, partial theory and non-symmetry iteration method, it is studied the existence and uniqueness of solutions of a class of anti-mixed monotone operator system of equations in Banach spaces. And the iteration sequences which converge to solution of operator equations and the error estimates are also given. For its application, it is mainly studied the existence and uniqueness of solutions of non -anti -mixed monotone operator system of equations. The results presented here improve and generalize some corresponding results for mixed monotone operators.
-
-
吴焱生
-
-
摘要:
在序Banach空间中,利用锥与半序理论和非对称迭代技巧,研究一类反向混合单调算子方程组{A(x,x)=x,B(x,x)=x}解的存在与唯一性,给出了收敛于算子方程组解的逼近迭代序列和误差估计,进而获得了反向混合单调算子方程A(x,x)=x唯一解及其解的逼近迭代序列和误差估计,并改进和推广了有关文献的相应结果。
-
-
王宇翔
-
-
摘要:
运用锥与半序理论和非对称迭代方法,讨论Banach空间一类反向混合单调算子方程解的存在唯一性,给出了迭代序列收敛于解的误差估计,所得结果改进和推广了某些已有结果.%Using the cone and partial theory and non-symmetry iteration method,this paper studies the existence and uniqueness of solutions for a class of anti-mixed monotone operator system of equations in Banach spaces.The iteration sequences which converge to solution of operator equations and the error estimates are also given.The results presented here improve and generalize some corresponding results.
-
-
赵晓晶;
刘肖云
-
-
摘要:
By using the cone theory and non-symmetry iteration method, the existence and uniqueness of solutions of non-monotone binary operator equations are studied.And the iteration sequences which converge to solution of operator equations and the error estimates are also given.The results presented improve and generalize some corresponding results.%利用锥理论和非对称迭代方法,讨论了一类非单调二元算子方程解的存在唯一性,给出了迭代序列收敛于解的误差估计,所得结果是某些已知结果的改进和推广.
-
-
李波;
原新生
-
-
摘要:
利用非线性泛函分析中的锥与半序理论和单调迭代方法,讨论了不具有连续性和紧性条件的非单调二元算子方程组解的存在唯一性,给出了迭代序列收敛于解的误差估计,所得结果是某些已知结果的改进和推广.%By using the cone and partail ordering theory, the monotonous iteration method in nonlinear funtional analysis, the existence and uniqueness of solutions of non-monotone binary operator system of equations without continuity and compactness conditions were studied, the error estimating that the iteration sequences converging to solution of operator equations were also given . The results presented improved and generalized some known results.