Analytical solution for differential and nonlinear integral equations via \(F_{\varpi_e}\)-Suzuki contractions in modified \(\varpi_e\)-metric-like spaces. (English) Zbl 1516.54029
Two fixed point theorems are proved for modifications of \(F\)-Suzuki contractions of H. Piri and P. Kumam [Fixed Point Theory Appl. 2014, Paper No. 210, 11 p. (2014; Zbl 1371.54184)] in a modification of extended \(b\)-metric-like spaces of V. Parvaneh and Z. Kadelburg [Vietnam J. Math. 47, No. 2, 387–401 (2019; Zbl 1489.54194)]. The results are applied to a Fredholm integral equation and a boundary value problem for a second order ODE.
Reviewer: Zoran Kadelburg (Beograd)
MSC:
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
| 54E40 | Special maps on metric spaces |
| 45B05 | Fredholm integral equations |
| 34B15 | Nonlinear boundary value problems for ordinary differential equations |
Keywords:
extended \(b\)-metric-like space; \(F\)-Suzuki contraction; fixed point; Fredholm integral equationReferences:
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