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On the Iterative Multivalued ⊥-Preserving Mappings and an Application to Fractional Differential Equation.
- Source :
- Axioms (2075-1680); Jan2023, Vol. 12 Issue 1, p53, 16p
- Publication Year :
- 2023
-
Abstract
- In this paper, we introduce orthogonal multivalued contractions, which are based on the recently introduced notion of orthogonality in the metric spaces. We construct numerous fixed point theorems for these contractions. We show how these fixed point theorems aid in the generalization of a number of recently published findings. Additionally, we offer a theorem that establishes the existence of a fractional differential equation's solution. [ABSTRACT FROM AUTHOR]
- Subjects :
- METRIC spaces
FIXED point theory
FRACTIONAL differential equations
SET-valued maps
Subjects
Details
- Language :
- English
- ISSN :
- 20751680
- Volume :
- 12
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Axioms (2075-1680)
- Publication Type :
- Academic Journal
- Accession number :
- 161438086
- Full Text :
- https://doi.org/10.3390/axioms12010053