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Solutions of initial and boundary value problems via F-contraction mappings in metric-like space | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 11، دوره 9، شماره 1، آذر 2018، صفحه 129-145 اصل مقاله (493.06 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2017.1725.1452 | ||
| نویسندگان | ||
| Hemant Kumar Nashine1؛ Dhananjay Gopal* 2؛ Dilip Jain2؛ Ahmed Al-Rawashdeh3 | ||
| 1Department of Mathematics, Texas A & M University - Kingsville - 78363-8202, Texas, USA | ||
| 2Department of Applied Mathematics & Humanities, S.V. National Institute of Technology, Surat-395007, Gujarat, India | ||
| 3Department of Mathematics, United Arab Emirates University, UAE | ||
| تاریخ دریافت: 18 آبان 1395، تاریخ بازنگری: 25 شهریور 1396، تاریخ پذیرش: 04 مهر 1396 | ||
| چکیده | ||
| 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 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. | ||
| کلیدواژهها | ||
| Metric-like space؛ fixed point؛ F-contraction؛ boundary value problem | ||
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