Abstract
In this article, we introduce (Formula presented.) -orthogonal interpolative contractions which generalize orthogonal interpolative contractions. We investigate different conditions on the functions (Formula presented.) to show the existence of fixed-points of set-valued (Formula presented.) -orthogonal interpolative contractions. Our fixed point results are improvement of several known results in literature. As an application, we resolve a fractional differential equation.
Original language | English |
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Journal | Optimization |
DOIs | |
Publication status | Accepted/In press - 2022 |
Externally published | Yes |
Keywords
- -orthogonal interpolative contractions
- Fixed point
- complete O-metric space