Work

Fixed Point Theory Approach to Existence of Solutions with Differential Equations

Year: 2018

Type: book-chapter

Abstract: In this chapter, we introduce a generalized contractions and prove some fixed point theorems in generalized metric spaces by using the generalized contractions.Moreover, we will apply the fixed point theorems to show the existence and uniqueness of solution to the ordinary difference equation (ODE), Partial difference equation (PDEs) and fractional boundary value problem.

Source: InTech eBooks

Parent work: Differential Equations - Theory and Current Research

DOI: 10.5772/intechopen.74560

Authors: Piyachat Borisut, Konrawut Khammahawong, Poom Kumam

Institution: King Mongkut's University of Technology Thonburi

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funder: King Mongkut's University of Technology Thonburi