有序Banach空间中的拟弱收敛及其应用

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Quasi-Weak Convergence with Applications in Ordered Banach Space

摘要: 在有序Banach空间中引入拟弱收敛,并表明拟弱收敛弱于弱收敛。由此,在非紧性条件下,获得了非连续增算子的不动点,并将它应用于Hammerstein型非线性积分方程。
- 有序Banach空间 /
- 分离性质 /
- 拟弱收敛 /
- 不动点
Abstract: In the paper quasi-weak convergence is introduced in ordered Banach space and it is weaker than weak convergence. Besed on it, the fixed point existence theorem of increasing operator is proved without the suppose of continuity and compactness in the sense of norm and weak compactness and is applied to the Hammerstein nonlinear intergal equation.
- ordered Banach space /
- separated property /
- quasi-weak convergence /
- fixed points

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