Some common fixed point theorems on <inf>c</inf>-distance in cone metric spaces over banach algebras

Abstract

© 2015, Azerbaijan National Academy of Sciences. All rights reserved. In this paper, we introduce the concept of c-distance in a cone metric space over Banach algebra, instead of the cone metric only in a Banach space. Moreover, we obtain some common fixed point theorems on c-distance with several generalized Lipschitz constants in cone metric spaces over Banach algebras. In addition, we give some examples to support our conclusions, and show that our results in the setting of cone metric spaces over Banach algebras are never equivalent to the counterparts in metric spaces.