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Abstract.
In this paper we obtain fixed and common fixed point theorems for self-mappings defined on a closed and convex subset C of a quasi-Banach space. We give also a constructive method for finding the common fixed points of the involved mappings. As an application we obtain a result of the existence of solutions of integral equations.
Keywords: Quasi-Banach space; metric-type space; common fixed point; weakly compatible mappings; integral equations
Received: 2012-06-20
Accepted: 2013-05-24
Published Online: 2013-11-20
Published in Print: 2013-12-01
© 2013 by Walter de Gruyter Berlin Boston