1. Some new theorems for cyclic contractions in G-metric spaces and some applications
- Author
-
Chen Chunfang, Chuanxi Zhu, Min Liang, and Zhaoqi Wu
- Subjects
0209 industrial biotechnology ,Class (set theory) ,Pure mathematics ,Applied Mathematics ,Fixed-point theorem ,020206 networking & telecommunications ,02 engineering and technology ,Fixed point ,Integral equation ,Computational Mathematics ,Metric space ,020901 industrial engineering & automation ,Operator (computer programming) ,Ordinary differential equation ,0202 electrical engineering, electronic engineering, information engineering ,Uniqueness ,Mathematics - Abstract
In this paper, some new theorems for various cyclic contractions are established in Gb-metric spaces to discuss the existence and uniqueness of the solutions for a class of the operator equations, which generalize many known results in corresponding literatures. On the other hand, we introduce the notion of the cyclic α-ψφ-contractive mappings in Gb-metric spaces and establish a new fixed point theorem, which is applied to consider the existence of the solutions of the integral equations and ordinary differential equations. Moreover, some examples are given to support our main results.
- Published
- 2019