On \(J_c\)-contraction and related fixed-point problem with applications. (English) Zbl 07292729
Summary: We introduce \(J_c\)-contraction, which encompasses both \(F\)-contraction and \(JS\)-contraction. We investigate a fixed-point problem subject to \(J_c\)-contraction. The existence of the solutions to the linear matrix equation and system of fractional differential equations are discussed by the application of obtained results.
MSC:
| 47H10 | Fixed-point theorems |
| 39B72 | Systems of functional equations and inequalities |
| 34A08 | Fractional ordinary differential equations |
| 15A24 | Matrix equations and identities |
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