Fixed point theorems in modular G-metric spaces

Abstract

Abstract We prove the existence and uniqueness of fixed points of some generalized contractible operators defined on modular G-metric spaces and also prove the modular G-continuity of such operators. Furthermore, we prove that some generalized weakly compatible contractive operators in modular G-metric spaces have a unique fixed point. Our results extend, generalize, complement and include several known results as special cases.

Keywords

• Fixed point
• Modular G-metric spaces
• Modular G-continuity
• Operators
• Contractive mapping
• Weakly compatible