Unique common fixed points for generalized mixed type contractive mappings on non-normal cone metric spaces

Abstract

Twoclassesofgeneralizedmixedtypecontractiveconditionsareintroduced, unique common fixed point theorems for Kannan-mixed type and Chatterjea-mixed type contractive mappings are obtained on non-normal cone metric spaces respectively and the corresponding fixed point theorems and common fixed point theorems are given. The obtained results generalize and improve some common fixed point theorems, especially, Kannan type fixed point theorem and Chatterjea type fixed point theorem.