Some fixed point results without monotone property in partially ordered metric-like spaces

Abstract

The purpose of this paper is to obtain the fixed point results for F-type contractions which satisfies a weaker condition than the monotonicity of self-mapping of a partially ordered metric-like space. A fixed point result for F-expansive mapping is also proved. Therefore, several well known results are generalized. Some examples are included which illustrate the results.

Keywords

• Partial metric space
• Metric-like space
• F-contraction
• Common fixed point
• Partial order