Author/Authors :
Kumar Nashine, Hemant Department of Mathematics Texas A & M University - Kingsville - Texas, USA , Gopal, Dhananjay Department of Applied Mathematics & Humanities - S.V. National Institute of Technology - Gujarat, India , Jain, Dilip Department of Applied Mathematics & Humanities - S.V. National Institute of Technology - Gujarat, India , Al-Rawashdeh, Ahmed Department of Mathematics - United Arab Emirates University, UAE
Abstract :
We present suffcient 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.
Keywords :
Metric-like space , fixed point , F-contraction , boundary value problem
