We prove existence and uniqueness of fixed point, by using a simulation function and a lower semi-continuous function in the setting of metric space. As consequences of this study, we deduce several related fixed point results, in metric and partial metric spaces. An example is given to support the new theory.
Nastasi, A., Vetro, P. (2015). Fixed point results on metric and partial metric spaces via simulation functions. THE JOURNAL OF NONLINEAR SCIENCES AND ITS APPLICATIONS, 8(6), 1059-1069.
Fixed point results on metric and partial metric spaces via simulation functions
VETRO, Pasquale
2015-01-01
Abstract
We prove existence and uniqueness of fixed point, by using a simulation function and a lower semi-continuous function in the setting of metric space. As consequences of this study, we deduce several related fixed point results, in metric and partial metric spaces. An example is given to support the new theory.
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