Common fixed point theorems for four mappings on cone b-metric spaces over Banach algebras

Common fixed point theorems for generalized ordered contractive mappings on cone b-metric spaces over Banach algebras

In this paper, we introduce the concept of generalized ordered contractive mappings on cone b-metric spaces over Banach algebras and establish a new common some fixed point theorems of such mappings under some natural conditions. The results extend and improve recent related results. c ©2016 All rights reserved.

Common Fixed Point Theorems for Four Mappings in Complete Metric Spaces

Cone metric spaces with Banach algebras and fixed point theorems of generalized Lipschitz mappings

In this paper we introduce the concept of cone metric spaces with Banach algebras, replacing Banach spaces by Banach algebras as the underlying spaces of cone metric spaces. With this modification, we shall prove some fixed point theorems of generalized Lipschitz mappings with weaker conditions on generalized Lipschitz constants. An example shows that our main results concerning the fixed point...

Common Fixed Point Theorems for Four Mappings in Tvs–valued Cone Metric Spaces

The existence of coincidence points and common fixed points for four mappings satisfying generalized contractive conditions without exploiting the notion of continuity of any map involved therein, in a TVS-valued cone metric space is proved. These results extend, unify and generalize several well known comparable results in the existing literature.

Fixed Point Theorems for Expanding Mappings in Cone Metric Spaces

The existing literature of fixed point theory contains many results enunciating fixed point theorems for self-mappings in metric and Banach spaces. Recently, Huang and Zhang [4] introduced the concept of cone metric spaces which generalized the concept of the metric spaces, replacing the set of real numbers by an ordered Banach space, and obtained some fixed point theorems for mapping satisfyin...