In this study, a shared linked fixed point in the intuitionistic fuzzy metric space is established for two sets of joint common limit of the range (shortly JCLR property) and common limit of the range (shortly CLR property) that satisfy the ϕ-contractive requirements. These mappings are mutually weakly compatible. Several essential concepts and theorems from more recent research publications on issues such as the binary operator, t-norm, t-conorm, intuitionistic fuzzy metric space, and compatible mapping were employed to achieve the aims of this study.


In this study, a shared linked fixed point in the intuitionistic fuzzy metric space is established for two sets of joint common limit of the range (shortly JCLR property) and common limit of the range (shortly CLR property) that satisfy the ϕ-contractive requirements. These mappings are mutually weakly compatible. Several essential concepts and theorems from more recent research publications on issues such as the binary operator, t-norm, t-conorm, intuitionistic fuzzy metric space, and compatible mapping were employed to achieve the aims of this study.