A Unified Approach and Related Fixed-Point Theorems for Suzuki Contractions

Abstract

This paper aims to give an extended class of contractive mappings combining types of Suzuki contractions α-admissible mapping and Wardowski F-contractions in b-metric-like spaces. Our results cover and generalize many of the recent advanced results on the existence and uniqueness of fixed points and fulfill the Suzuki-type nonlinear hybrid contractions on various generalized metrics.

Keywords

• <i>α</i>-admissible mapping
• Suzuki (<i>α</i>, <i>F</i>)-contraction
• <i>b</i>-metric-like
• fixed point