In this paper we obtain a result of existence of points of coincidence and of common fixed points for two self mappings on compact metric spaces satisfying a contractive condition of Suzuki type. We also present some examples to illustrate our results. Moreover, using the scalarization method of Du, we deduce a result of common fixed point in compact cone metric spaces.
Di Bari, C., Vetro, P. (2013). Common fixed points for self mappings on compact metric spaces. APPLIED MATHEMATICS AND COMPUTATION, 219(12), 6804-6808 [10.1016/j.amc.2013.01.022].
Common fixed points for self mappings on compact metric spaces
DI BARI, Cristina;VETRO, Pasquale
2013-01-01
Abstract
In this paper we obtain a result of existence of points of coincidence and of common fixed points for two self mappings on compact metric spaces satisfying a contractive condition of Suzuki type. We also present some examples to illustrate our results. Moreover, using the scalarization method of Du, we deduce a result of common fixed point in compact cone metric spaces.
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