Fixed point results on metric and partial metric spaces via simulation functions
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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
Keywords
- Fixed point
- metric space
- partial metric space
- nonlinear contraction
- simulation function.
MSC
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