Document Type : Research Paper

Authors

• Hemant Kumar Nashine ¹
• Dhananjay Gopal ²
• Dilip Jain ²
• Ahmed Al-Rawashdeh ³

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 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 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