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Symmetry 2019, 11(1), 70; https://doi.org/10.3390/sym11010070

Application of Fixed Point Results on Rational F-Contraction Mappings to Solve Boundary Value Problems

1
Department of Mathematics, The ICFAI University, Raipur, Chhattisgarh 490042, India
2
Department of Mathematics, Veer Surendra Sai University of Technology, Burla 768018, India
3
Center for General Education, China Medical University, Taichung 40402, Taiwan
4
Romanian Academy, Gh. Mihoc–C. Iacob Institute of Mathematical Statistics and Applied Mathematics, 050711 Bucharest, Romania
5
Department of Mathematics and Informatics, University Politehnica of Bucharest, 060042 Bucharest, Romania
*
Author to whom correspondence should be addressed.
Received: 26 November 2018 / Revised: 4 January 2019 / Accepted: 7 January 2019 / Published: 9 January 2019
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Abstract

The notion of rational F-contractions using α -admissibility of type-S in b-metric-like spaces is introduced and the new fixed and periodic point theorems are proved for such mappings. Numerical examples are illustrated to check the efficiency and applicability of our fresh findings. It is also observed that some of the works reported in the literature are the particular cases of the present study. View Full-Text
Keywords: b-metric-like space; admissibility type-S; rational F-contraction; periodic point; boundary value problem b-metric-like space; admissibility type-S; rational F-contraction; periodic point; boundary value problem
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Jagannadha Rao, G.V.V.; Padhan, S.K.; Postolache, M. Application of Fixed Point Results on Rational F-Contraction Mappings to Solve Boundary Value Problems. Symmetry 2019, 11, 70.

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