Fixed point results on metric and partial metric spaces via simulation functions


Authors

Antonella Nastasi - Dipartimento di Matematica e Informatica, Universita degli Studi di Palermo, via Archirafi 34, 90123 Palermo, Italy. Pasquale Vetro - Dipartimento di Matematica e Informatica, Universita degli Studi di Palermo, via Archirafi 34, 90123 Palermo, Italy.


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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ISRP Style

Antonella Nastasi, Pasquale Vetro, Fixed point results on metric and partial metric spaces via simulation functions, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 6, 1059--1069

AMA Style

Nastasi Antonella, Vetro Pasquale, Fixed point results on metric and partial metric spaces via simulation functions. J. Nonlinear Sci. Appl. (2015); 8(6):1059--1069

Chicago/Turabian Style

Nastasi, Antonella, Vetro, Pasquale. "Fixed point results on metric and partial metric spaces via simulation functions." Journal of Nonlinear Sciences and Applications, 8, no. 6 (2015): 1059--1069


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