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.
Nashine,H K , Gopal,D , Jain,D and Al-Rawashdeh,A . (2018). Solutions of initial and boundary value problems via F-contraction mappings in metric-like space. International Journal of Nonlinear Analysis and Applications, 9(1), 129-145. doi: 10.22075/ijnaa.2017.1725.1452
MLA
Nashine,H K , , Gopal,D , , Jain,D , and Al-Rawashdeh,A . "Solutions of initial and boundary value problems via F-contraction mappings in metric-like space", International Journal of Nonlinear Analysis and Applications, 9, 1, 2018, 129-145. doi: 10.22075/ijnaa.2017.1725.1452
HARVARD
Nashine H K, Gopal D, Jain D, Al-Rawashdeh A. (2018). 'Solutions of initial and boundary value problems via F-contraction mappings in metric-like space', International Journal of Nonlinear Analysis and Applications, 9(1), pp. 129-145. doi: 10.22075/ijnaa.2017.1725.1452
CHICAGO
H K Nashine, D Gopal, D Jain and A Al-Rawashdeh, "Solutions of initial and boundary value problems via F-contraction mappings in metric-like space," International Journal of Nonlinear Analysis and Applications, 9 1 (2018): 129-145, doi: 10.22075/ijnaa.2017.1725.1452
VANCOUVER
Nashine H K, Gopal D, Jain D, Al-Rawashdeh A. Solutions of initial and boundary value problems via F-contraction mappings in metric-like space. IJNAA. 2018;9(1):129-145. doi: 10.22075/ijnaa.2017.1725.1452
International Journal of Nonlinear Analysis and Applications