Existence of solutions of cantilever beam problem via (α-β-FG)-contractions in b-metric-like spaces
Open Access
- 1 January 2017
- journal article
- Published by National Library of Serbia in Filomat
- Vol. 31 (11), 3057-3074
- https://doi.org/10.2298/fil1711057n
Abstract
In this work, our intention is to introduce the notion of rational (?-?-FG)-contraction mapping in b-metric-like spaces, and produce relevant fixed point and periodic point results for weakly ?-admissible mappings. Ulam-Hyers stability of this problem is also investigated. To illustrate our results, we give throughout the paper some examples, in particular in order to justify the use of rational terms. As an application, we obtain sufficient conditions for the existence of solutions for Cantilever Beam Problem.Keywords
Funding Information
- Ministry of Education, Science and Technological Development of the Republic of Serbia (174002)