Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68229120180801Solutions of initial and boundary value problems via F-contraction mappings in metric-like space129145308910.22075/ijnaa.2017.1725.1452ENHemant Kumar NashineDepartment of Mathematics, Texas A & M University - Kingsville - 78363-8202, Texas, USA0000-0002-0250-9172Dhananjay GopalDepartment of Applied Mathematics & Humanities, S.V. National Institute of Technology, Surat-395007, Gujarat, IndiaDilip JainDepartment of Applied Mathematics \& Humanities,
S.V. National Institute of Technology, Surat-395007, Gujarat, IndiaAhmed Al-RawashdehDepartment of Mathematics, United Arab Emirates University, UAEJournal Article20161108We 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 Ciric 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.http://ijnaa.semnan.ac.ir/article_3089_b5af7b8a4b803b959039333d370da074.pdf