Fixed point theorems for (p, q)-quasi-contraction mappings in cone metric spaces

Abstract

In this work, the authors introduce the concept of (p, q)-quasi-contraction mapping in a cone metric space. We prove the existence and uniqueness of a fixed point for a (p, q)-quasi-contraction mapping in a complete cone metric space. The results of this paper generalize and unify further fixed point theorems for quasi-contraction, convex contraction mappings and two-sided convex contraction of order 2.

Keywords

Fixed points / (p, q)-Quasi-contractions / Cone metric space

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