Open AccessCommon fixed point theorems of generalized Lipschitz mappings in cone b-metric spaces over Banach algebras and applications
Author(s) -
Huaping Huang,
Stojan Radenović
Publication year - 2015
Publication title -
the journal of nonlinear sciences and applications
Language(s) - English
Resource type - Journals
eISSN - 2008-1901
pISSN - 2008-1898
DOI - 10.22436/jnsa.008.05.29
Subject(s) - mathematics , lipschitz continuity , cone (formal languages) , metric space , banach space , pure mathematics , fixed point theorem , metric map , fixed point , mathematical analysis , convex metric space , algorithm
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.
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