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Fixed Point and Homotopy Methods in Cone A -Metric Spaces and Application to the Existence of Solutions to Urysohn Integral Equation.
- Source :
- Symmetry (20738994); Jul2022, Vol. 14 Issue 7, pN.PAG-N.PAG, 19p
- Publication Year :
- 2022
-
Abstract
- The purpose of this article is to introduce an ordered implicit relation that can be used for the existence of fixed points of new contractions defined in cone A-metric spaces. We investigate a fixed-point method for proving the existence of Urysohn integral equation solutions. We prove an homotopy result by the application of obtained fixed-point theorem. The hypothesis is demonstrated with examples. [ABSTRACT FROM AUTHOR]
- Subjects :
- INTEGRAL equations
CONES
METRIC spaces
CONTRACTIONS (Topology)
Subjects
Details
- Language :
- English
- ISSN :
- 20738994
- Volume :
- 14
- Issue :
- 7
- Database :
- Complementary Index
- Journal :
- Symmetry (20738994)
- Publication Type :
- Academic Journal
- Accession number :
- 158318465
- Full Text :
- https://doi.org/10.3390/sym14071328