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. & 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. https://doi.org/10.22075/ijnaa.2017.1725.1452
MLA
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", 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
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." 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