Fixed Point Theorems for Kannan Interpolative, Riech Interpolative and Dass-Gupta Interpolative Rational type Contractions in A-Metric Spaces

Abstract

(\(\lambda\), \(\alpha\))- interpolative Kannan contraction, (\(\lambda\), \(\alpha\), \(\beta\))- interpolative Kannan contraction, (\(\lambda\), \(\alpha\), \(\beta\), \(\gamma\))- interpolative Riech contraction and (\(\lambda\), \(\alpha\), \(\beta\))- interpolative Dass-Gupta rational contraction are presented in this study. Furthermore, we prove a few fixed-point theorems for interpolative contractions in complete A-metric spaces. These theorems also extend and apply to an A-metric setting several interesting results from metric fixed-point theory.