Common fixed point theorems of generalized Lipschitz mappings in cone b-metric spaces over Banach algebras and applications

By Huaping Huang, Stojan Radenovic. 2015

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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. c ©2015 All rights reserved.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/0a63a4120b038535032be58b772c72f38e273ceb