We use the ideas in Samet et al. (Fixed Point Theory Appl 2013:5, 2013) and Vetro and Vetro (Topol Appl 164:125–137, 2014) and the notion of simulation function to establishing existence and uniqueness of fixed points in the setting of ordered metric and ordered partial metric spaces. As consequences of this study, we give a result of existence and uniqueness of a first-order periodic differential problem. From main theorems, we deduce several related fixed point results, in ordered metric and ordered partial metric spaces.
Nastasi, A., Vetro, P. (2017). Existence and Uniqueness for a First-Order Periodic Differential Problem Via Fixed Point Results. RESULTS IN MATHEMATICS, 71(3-4), 889-909 [10.1007/s00025-016-0551-x].
Existence and Uniqueness for a First-Order Periodic Differential Problem Via Fixed Point Results
Nastasi, Antonella;Vetro, Pasquale
2017-01-01
Abstract
We use the ideas in Samet et al. (Fixed Point Theory Appl 2013:5, 2013) and Vetro and Vetro (Topol Appl 164:125–137, 2014) and the notion of simulation function to establishing existence and uniqueness of fixed points in the setting of ordered metric and ordered partial metric spaces. As consequences of this study, we give a result of existence and uniqueness of a first-order periodic differential problem. From main theorems, we deduce several related fixed point results, in ordered metric and ordered partial metric spaces.
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