Fixed point theory in cone metric spaces obtained via the scalarization method

Abstract

Motivated by the scalarization method in vector optimization theory, we take a new approach to fixed point theory on cone metric spaces. By using our method we prove some fixed point theorems and several common fixed point theorems on cone metric spaces in which the cone need not be normal. Our results improve and generalize many well-known results from the literature. © 2010 Elsevier Ltd. All rights reserved.