In this paper, we introduce the concept of cone b-metric space over Banach algebra and present some common fixed point theorems in such spaces. Moreover, we support our results by two examples. In addition, some applications in the solutions of several equations are given to illustrate the usability of the obtained results.

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The aim of this article is to present, improve and generalize some recent coincidence and coupled coincidence point results from several papers in the framework of partially ordered b-metric spaces. Two examples are also provided to support the superiority of the obtained results. MSC: 47H10; 54H25

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The purpose of this paper is to obtain several common fixed point theorems for four mappings in the setting of cone b-metric spaces over Banach algebras. The obtained results generalize, complement, and improve some results in the literature. Moreover, we give some supportive examples for our conclusions. In addition, an application in the solution of a class of equations is given to illustrate the superiority of the main results.

In this article we prove the existence of common fixed points for isotone increasing mappings in ordered bmetric spaces. Our results unite and improve the recent remarkable results, established by Roshan et al. [

In this paper we prove some new fixed point results in the context of ordered b-metric spaces for rational Geraghty contractive mappings. Thus our results in the new context generalize, extend, unify, enrich and complement fixed point theorems of contractive mappings in several aspects. One example is given to show the validity of our results. In addition, we obtain the periodic property of these mappings. c 2015 All rights reserved.

By using a nontrivial proof method, the purpose of this paper is to obtain some fixed point results for weak -contractions in cone metric spaces over Banach algebras. Several examples and applications to the existence and uniqueness of a solution to two classes of equations are also given.