Open AccessKannan type mapping in TVS-valued cone metric spaces and their application to Urysohn integral equations
Author(s) -
Akbar Azam,
Ismat Beg
Publication year - 2013
Publication title -
sarajevo journal of mathematics
Language(s) - English
Resource type - Journals
eISSN - 2233-1964
pISSN - 1840-0655
DOI - 10.5644/sjm.09.2.09
Subject(s) - mathematics , cone (formal languages) , type (biology) , metric space , pure mathematics , metric (unit) , mathematical analysis , calculus (dental) , algorithm , business , ecology , biology , medicine , dentistry , marketing
We obtain sucient conditions for the existence of a com- mon fixed point of three mappings satisfying Kannan type conditions in TVS valued cone metric spaces. We also give an application by finding the solution for a system of two Urysohn integral equations. Our results generalize several well-known recent results in the literature.
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