New Fixed Point Theorems for Generalized Meir–Keeler Type Nonlinear Mappings with Applications to Fixed Point Theory

Abstract

In this paper, we investigate new fixed point theorems for generalized Meir–Keeler type nonlinear mappings satisfying the condition (DH). As applications, we obtain many new fixed point theorems which generalize and improve several results available in the corresponding literature. An example is provided to illustrate and support our main results.

Keywords

• Meir–Keeler type mapping
• simultaneous generalization
• Banach contraction principle
• Kannan’s fixed point theorem
• Chatterjea’s fixed point theorem
• Meir–Keeler’s fixed point theorem