论文标题
通过应用程序,相对于弱拓扑的广义Banach代数的固定点定理的广义形式
Generalized form of fixed-point theorems in generalized Banach algebra relative to the weak topology with an application
论文作者
论文摘要
在本文中,通过衡量弱非紧密度的量度证明了一般的混合固定点定理,用于广义Banach空间中的合同映射,并进一步应用于分数积分方程式,以证明混合Lipschitz下解决方案的存在结果和弱的持续条件。最后,给出一个示例来说明结果。
In this paper, a general hybrid fixed point theorem for the contractive mappings in generalized Banach spaces is proved via measure of weak non-compactness and it is further applied to fractional integral equations for proving the existence results for the solutions under mixed Lipschitz and weakly sequentially continuous conditions. Finally, an example is given to illustrate the result.