On the existence of \((\eta,\zeta)\)-fixed points and \((\eta,\zeta)\)-best proximity points for Wardowski type mappings. (English) Zbl 1498.54045
Summary: The aim of this paper is to develop some \((\eta,\zeta)\)-fixed point and \((\eta,\zeta)\)-best proximity point results by means of contraction classes defined using Wardowski function. We provide an application to nonlinear integral equations and also an example to prove the usability of our results.
MSC:
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
| 54E40 | Special maps on metric spaces |
| 45G10 | Other nonlinear integral equations |
