Back to Search
Start Over
Some new theorems for cyclic contractions in G-metric spaces and some applications
- Source :
- Applied Mathematics and Computation. 346:545-558
- Publication Year :
- 2019
- Publisher :
- Elsevier BV, 2019.
-
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.
- 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
Subjects
Details
- ISSN :
- 00963003
- Volume :
- 346
- Database :
- OpenAIRE
- Journal :
- Applied Mathematics and Computation
- Accession number :
- edsair.doi...........d05ad42445fb50faaf78e5b66aac0949