| 一类非线性非紧算子不动点定理的推广及其应用 |
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| 引用本文： | 王峰,张芳.一类非线性非紧算子不动点定理的推广及其应用[J].数学杂志,2009,29(6). |
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| 作者姓名： | 王峰 张芳 |
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| 作者单位： | 江苏工业学院数理学院,江苏,常州,213164 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 本文研究了一类非线性非紧算子不动点定理.利用锥理论,在不需要非线性项满足连续性和紧性条件下,获得无穷区间上Frodholm型积分方程解的存在唯一性,并给出逼近解迭代序列的误差估计.
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| 关 键 词： | 锥 不动点定理 无穷区间 Fredholm型积分方程 |
AN EXTENSION OF FIXED POINT THEOREM FOR A CLASS OF NONLINEAR AND NONCOMPACT OPERATORS AND APPLICATIONS |
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| WANG Feng,ZHANG Fang.AN EXTENSION OF FIXED POINT THEOREM FOR A CLASS OF NONLINEAR AND NONCOMPACT OPERATORS AND APPLICATIONS[J].Journal of Mathematics,2009,29(6). |
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| Authors: | WANG Feng ZHANG Fang |
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| Abstract: | In this article.we generalize the fixed point theorem of a class of nonlinear and noncompact operators.By using the cone theory,the existence and uniqueness of solution of nonlinear Fredholm type integral equations on an infinite interval can be obtained without the assumption of continuity and compactness condition.The error estimate of the iterative sequence of approximation solutions is given. |
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| Keywords: | cone fixed point theorem infinite interval Fredholm type integral equations |
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