- -

On φ-contractions and fixed point results in fuzzy metric spaces

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

On φ-contractions and fixed point results in fuzzy metric spaces

Mostrar el registro completo del ítem

Saheli, M.; Mohsenialhosseini, SAM.; Saeidi Goraghani, H. (2023). On φ-contractions and fixed point results in fuzzy metric spaces. Applied General Topology. 24(2):469-483. https://doi.org/10.4995/agt.2023.17130

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/199703

Ficheros en el ítem

Thumbnail
Nombre: SaheliMohsenialho ...
Tamaño: 375.9Kb
Formato: PDF
Descripción: Versión editorial
Abrir/Preview

Metadatos del ítem

Título: On φ-contractions and fixed point results in fuzzy metric spaces
Autor: Saheli, Morteza Mohsenialhosseini, Seyed Ali Mohammad Saeidi Goraghani, Hadi
Fecha difusión:
Resumen:
[EN] In this paper, φ-contractions are defined and then, some new fixed point theorems are established for certain nonlinear mappings associated with one-dimensional (c)-comparison functions in fuzzy metric spaces. Next, ...[+]
Palabras clave: Fuzzy metric space , Multiple fixed point , Comparison function , φ-contraction , Weak φ-contraction
Derechos de uso: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Fuente:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2023.17130
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2023.17130
Tipo: Artículo

References

S. Banach, Sur les operations dans les ensembles abstraits etleur application aux equations integrales, Fund. Math. 3 (1922), 133-181. https://doi.org/10.4064/fm-3-1-133-181

V. Berinde, On the approximation of fixed points of weak contractive mappings, Carpathian J. Math. 19, no. 1 (2003), 7-22.

V. Berinde, Error estimates for approximating fixed points of quasi contractions, General Mathematics 13 (2005), 23-34. [+]
S. Banach, Sur les operations dans les ensembles abstraits etleur application aux equations integrales, Fund. Math. 3 (1922), 133-181. https://doi.org/10.4064/fm-3-1-133-181

V. Berinde, On the approximation of fixed points of weak contractive mappings, Carpathian J. Math. 19, no. 1 (2003), 7-22.

V. Berinde, Error estimates for approximating fixed points of quasi contractions, General Mathematics 13 (2005), 23-34.

V. Berinde, Iterative approximation of fixed points, Springer-Verlag, Berlin Heidelberg, 2007. https://doi.org/10.1109/SYNASC.2007.49

A. Chitra, and P. V. Mordeson, Fuzzy linear operators and fuzzy normed linear spaces, Bull. Cal. Math. Soc. 74 (1969), 660-665.

J. Franklin, Methods of mathematical economics, Springer Verlag, New York, 1980. https://doi.org/10.1007/978-3-662-25317-5

A. George, and P. Veeramani,On some results in fuzzy metric spaces, Fuzzy Sets and Systems 64 (1994), 395-399. https://doi.org/10.1016/0165-0114(94)90162-7

M. Grabiec, Fixed points in fuzzy metric spaces, Fuzzy Sets and Systems 27 (1988), 385-389. https://doi.org/10.1016/0165-0114(88)90064-4

V. Gregori, and J.-J. Miñana, On fuzzy y-contractive sequences and fixed-point theorems, Fuzzy Sets and Systems 300 (2016), 93-101. https://doi.org/10.1016/j.fss.2015.12.010

V. Gregori, and J.-J. Miñana, Some remarks on fuzzy contractive mappings, Fuzzy Sets and Systems 251 (2014), 101--103. https://doi.org/10.1016/j.fss.2014.01.002

V. Gregori, J. -J. Miñana, and D. Miravet, Contractive sequences in fuzzy metric spaces, Fuzzy Sets and Systems 379 (2020), 125-133. https://doi.org/10.1016/j.fss.2019.01.003

V. Gregori, J. -J. Miñana, and D. Miravet, Extended fuzzy metrics and fixed point theorems, Mathematics 7 (3) (2019), Article 303. https://doi.org/10.3390/math7030303

V. Gregori, J. -J. Miñana, and S. Morillas, On completable fuzzy metric spaces, Fuzzy Sets and Systems 267 (2015), 133-139. https://doi.org/10.1016/j.fss.2014.07.009

V. Gregori, and A. Sapena, On fixed-point theorems in fuzzy metric spaces, Fuzzy Sets and Systems 125 (2002), 245-252. https://doi.org/10.1016/S0165-0114(00)00088-9

K. Kramosil, and J. Michalek, Fuzzy metric and statistical metric spaces, Kybernetika 11 (1975), 336-344.

D. Mihet, Erratum to "Fuzzy y-contractive mappings in non-Archimedean fuzzy metric spaces, [Fuzzy Sets and Systems 159 (2008), 739-744]", Fuzzy Sets and Systems 161 (2010), 1150-1151. https://doi.org/10.1016/j.fss.2007.07.006

D. Mihet, Fuzzy y-contractive mappings in non-Archimedean fuzzy metric spaces, Fuzzy Sets and Systems 159 (2008), 739-744. https://doi.org/10.1016/j.fss.2007.07.006

J. J. Nieto, and R. Rodríguez-López, Contractive mappings theorems in partially ordered sets and applications to ordinary differential equations, Order 22 (2005), 223-239. https://doi.org/10.1007/s11083-005-9018-5

H. K. Pathak, and N. Hussain, Common fixed points for Banach pairs with applications, Nonlinear Anal. 69 (2008), 2788-2802. https://doi.org/10.1016/j.na.2007.08.051

B. E. Rhoades, A comparison of various definitions of contractive mappings, Trans. Amer. Math. Soc. 226 (1977), 257-290. https://doi.org/10.1090/S0002-9947-1977-0433430-4

S. Shukla, D. Gopal, and W. Sintunavarat, A new class of fuzzy contractive mappings and fixed-point theorems, Fuzzy Sets and Systems 350 (2018), 85-94. https://doi.org/10.1016/j.fss.2018.02.010

[-]

recommendations

 

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro completo del ítem