b-距离空间中含有Qt-函数的几类不动点定理的研究

发布时间：2018-05-30 05:16

本文选题：b-距离空间 + 不动点定理　；参考：《内蒙古大学》2017年硕士论文

【摘要】：本文主要研究了b-距离空间中含有Qt-函数的几类公共不动点问题.具体完成如下工作:1.在b-距离空间中,提出了Qt 函数的概念,这一概念推广了wt 距离,w-距离以及Q-函数的概念.并在b-距离空间中,建立了带有Qt-函数的Geraghty型公共不动点定理,这一结果推广了距离空间以及b-距离空间上的一些Geraghty型不动点定理.此外,利用我们的结果给出了一类积分方程解存在的充分条件.2.在b-距离空间中,建立了带有Qt-函数的Ciric型公共不动点定理,这一结果去除了 Amini-Harandi结果中Fatou性质的条件.此外,我们还建立了含有四个自映射的Ciric型公共不动点定理.3.解决了Radenovic等人提出的公开问题,我们通过两个反例否定的回答了Radenovic等人的问题.同时,我们给出了b-距离空间中的Ciric型循环映射不动点存在的充分条件.
[Abstract]:This paper mainly studies several kinds of common fixed point problems with Qt- functions in b- distance space. The following work is done: 1. the concept of Qt function is proposed in b- distance space, which generalizes the concept of WT distance, w- distance and Q- function, and establishes a Geraghty type common immobility with Qt- function in b- distance space. Point theorem, which generalizes some Geraghty type fixed point theorems on distance space and b- distance space. In addition, we use our results to give a sufficient condition for the existence of a class of integral equation solutions.2. in b- distance space, and establish a Ciric common fixed point theorem with Qt- function, which removes the Amini-Harandi In addition, we also set up a Ciric common fixed point theorem containing four self mappings.3. to solve the open problem proposed by Radenovic et al. We answer the problem of Radenovic and others by two negative cases negation. At the same time, we give the fixed point memory of Ciric type cyclic mapping in b- distance space. Sufficient conditions are in place.
【学位授予单位】：内蒙古大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O177.91

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