@article{9a336830b3924890a4d5f3163c780cd2,
title = "Solutions of initial and boundary value problems via F-contraction mappings in metric-like space",
abstract = "We present sufficient conditions for the existence of solutions of second-order two-point boundary value and fractional order functional differential equation problems in a space where self-distance is not necessarily zero. For this, first we introduce a {\'C}iri{\'c} type generalized F-contraction and F-Suzuki contraction in a metric-like space and give relevance to fixed point results. To illustrate our results, we give throughout the paper some examples.",
keywords = "Boundary value problem, F-contraction, Fixed point, Metric-like space",
author = "Nashine, {Hemant Kumar} and Dhananjay Gopal and Dilip Jain and Ahmed Al-Rawashdeh",
note = "Funding Information: The authors thank Editor-in-Chief and Referee(s) for their valuable comments and suggestions, which were very useful to improve the paper. First author is thankful to the United State-India Education Foundation, New Delhi, India and IIE/CIES, Washington, DC, USA for Fulbright-Nehru PDF Award (No. 2052/FNPDR/2015). The fourth author gratefully acknowledges with thanks the Department of Research Affairs at UAEU. This article is supported by the grant: UPAR (11) 2020, Fund No. 31S249 (COS). Publisher Copyright: {\textcopyright} 2018, Semnan University, Center of Excellence in Nonlinear Analysis and Applications. All rights reserved.",
year = "2018",
month = jun,
day = "1",
doi = "10.22075/ijnaa.2017.1725.1452",
language = "English",
volume = "9",
pages = "129--145",
journal = "International Journal of Nonlinear Analysis and Applications",
issn = "2008-6822",
publisher = "Semnan University",
number = "1",
}