Geodesic
The (ψ, φ)-orthogonal interpolative contractions and an application to fractional differential equations
Filomat, Tome 37 (2023) no. 4, p. 1167

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DOI

In this manuscript, we introduce the (Ψ, Φ)-orthogonal interpolative contraction as a generalization of an orthogonal interpolative contraction. We prove several fixed point theorems stating conditions under which (Ψ, Φ)-orthogonal interpolative contraction admits a fixed point. Our fixed point results are improvements of several known results in literature. As an application, we resolve a fractional differential equation.
DOI : 10.2298/FIL2304167N
Classification : 47H10, 47H04
Keywords: fixed point, (Ψ, Φ)-orthogonal interpolative contractions, complete O-metric space, application 
Muhammad Nazam; Khalil Javed; Muhammad Arshad. The (ψ, φ)-orthogonal interpolative contractions and an application to fractional differential equations. Filomat, Tome 37 (2023) no. 4, p. 1167 . doi: 10.2298/FIL2304167N
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     title = {The (\ensuremath{\psi}, \ensuremath{\varphi})-orthogonal interpolative contractions and an application to fractional differential equations},
     journal = {Filomat},
     pages = {1167 },
     year = {2023},
     volume = {37},
     number = {4},
     doi = {10.2298/FIL2304167N},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2304167N/}
}
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