Rational g-omega-weak contractions and fixed point theorems in 0-sigma-complete metric-like spaces

Abstract

We bring in the notion of rational g-ω-weak contractions in metric-like spaces and demonstrate common fixed point results for such mappings in 0-σ-complete metric-like spaces. Examples are given to support the usability of our results and to show that they are improvements of some known ones. An application to second-order differential equations is presented in the final section.

Keywords

• common fixed point
• metric-like space
• partial metric space
• 0-σ-complete space