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Common Fixed-Points Technique for the Existence of a Solution to Fractional Integro-Differential Equations via Orthogonal Branciari Metric Spaces.
- Source :
-
Symmetry (20738994) . Sep2022, Vol. 14 Issue 9, p1859-N.PAG. 23p. - Publication Year :
- 2022
-
Abstract
- The idea of symmetry is a built-in feature of the metric function. In this paper, we investigate the existence and uniqueness of a fixed point of certain contraction via orthogonal triangular α-orbital admissible mapping in the context of orthogonal complete Branciari metric spaces endowed with a transitive binary relation. Our results generalize and extend some pioneering results in the literature. Furthermore, the existence criteria of the solutions to fractional integro-differential equations are established to demonstrate the applicability of our results. [ABSTRACT FROM AUTHOR]
- Subjects :
- *INTEGRO-differential equations
*METRIC spaces
*ORTHOGONALIZATION
*SYMMETRY
Subjects
Details
- Language :
- English
- ISSN :
- 20738994
- Volume :
- 14
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Symmetry (20738994)
- Publication Type :
- Academic Journal
- Accession number :
- 159357759
- Full Text :
- https://doi.org/10.3390/sym14091859