Solving existence problems via $F$-contractions
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- by Dariusz Wardowski PDF
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Abstract:
The main results of the paper concern the existence of fixed points of nonlinear $F$-contraction and the sum of this type of mapping with a compact operator. The results of Krasnosel’skii type are obtained with a usage of the Hausdorff measure of noncompactness and condensing mappings. The presented new tools give the possibility to verify the existence problems of the solutions for some classes of integral equations.References
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Additional Information
- Dariusz Wardowski
- Affiliation: Department of Nonlinear Analysis, Faculty of Mathematics and Computer Science, University of Łódź, Banacha 22, 90-238 Łódź, Poland
- MR Author ID: 782237
- Email: wardd@math.uni.lodz.pl
- Received by editor(s): February 2, 2017
- Received by editor(s) in revised form: May 4, 2017
- Published electronically: December 28, 2017
- Communicated by: Wenxian Shen
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 1585-1598
- MSC (2010): Primary 47H10, 47H09, 47H08, 47N20
- DOI: https://doi.org/10.1090/proc/13808
- MathSciNet review: 3754343