Solutions of initial and boundary value problems via F-contraction mappings in metric-like space

Document Type : Research Paper

Authors

1 Department of Mathematics, Texas A & M University - Kingsville - 78363-8202, Texas, USA

2 Department of Applied Mathematics & Humanities, S.V. National Institute of Technology, Surat-395007, Gujarat, India

3 Department of Applied Mathematics & Humanities, S.V. National Institute of Technology, Surat-395007, Gujarat, India

4 Department of Mathematics, United Arab Emirates University, UAE

Abstract

We present sufficient conditions for the existence of solutions of second-order two-point boundary value and fractional order functional di fferential equation problems in a space where self distance is not necessarily zero. For this, fi rst 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

International Journal of Nonlinear Analysis and Applications
Volume 9, Issue 1
Summer and Autumn 2018
Pages 129-145

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