We consider a coincidence-point problem in the setting of rectangular cone metric spaces. Using alpha-admissible mappings and following Perov's approach, we establish some existence and uniqueness results for two self-mappings. Under a compatibility assumption, we also solve a common fixed-point problem.
Tchier, F., Vetro, C., Vetro, F. (2017). A coincidence-point problem of Perov type on rectangular cone metric spaces. THE JOURNAL OF NONLINEAR SCIENCES AND ITS APPLICATIONS, 10(8), 4307-4317 [10.22436/jnsa.010.08.25].
A coincidence-point problem of Perov type on rectangular cone metric spaces
C. Vetro;F. Vetro
2017-01-01
Abstract
We consider a coincidence-point problem in the setting of rectangular cone metric spaces. Using alpha-admissible mappings and following Perov's approach, we establish some existence and uniqueness results for two self-mappings. Under a compatibility assumption, we also solve a common fixed-point problem.
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