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Fixed point of Lipschitz type mappings

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Fixed point of Lipschitz type mappings

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Bisht, RK. (2023). Fixed point of Lipschitz type mappings. Applied General Topology. 24(2):449-454. https://doi.org/10.4995/agt.2023.17642

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Título: Fixed point of Lipschitz type mappings
Autor: Bisht, Ravindra K.
Fecha difusión:
Resumen:
[EN] In this paper, we prove some fixed point theorems for Lipschitz type mappings in the setting of metric spaces. Our results open up the unexplored area of fixed points of Lipschitz type mappings for investigation.
Palabras clave: Lipschitz mappings , Górnicki mappings
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.2023.17642
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2023.17642
Tipo: Artículo

References

R. P. Agarwal, D. O'Regan, and N. Shahzad, Fixed point theory for generalized contractive maps of Meir-Keeler type, Math. Nachr. 276 (2004), 3-22. https://doi.org/10.1002/mana.200310208

V. Berinde and M. Păcurar, Approximating fixed points of enriched contractions in Banach spaces, J. Fixed Point Theory Appl. 22, no. 2 (2020), 38. https://doi.org/10.1007/s11784-020-0769-9

R. K. Bisht, A note on a new class of contractive mappings, Acta Math. Hungar. 166 (2022), 97-102. https://doi.org/10.1007/s10474-021-01195-x [+]
R. P. Agarwal, D. O'Regan, and N. Shahzad, Fixed point theory for generalized contractive maps of Meir-Keeler type, Math. Nachr. 276 (2004), 3-22. https://doi.org/10.1002/mana.200310208

V. Berinde and M. Păcurar, Approximating fixed points of enriched contractions in Banach spaces, J. Fixed Point Theory Appl. 22, no. 2 (2020), 38. https://doi.org/10.1007/s11784-020-0769-9

R. K. Bisht, A note on a new class of contractive mappings, Acta Math. Hungar. 166 (2022), 97-102. https://doi.org/10.1007/s10474-021-01195-x

Lj. B. Ćirić, On contraction type mappings, Math. Balkanica 1 (1971), 52-57.

J. Górnicki, Fixed points of involutions, Math. Japonica 43 (1996), 151-155.

J. Górnicki, Fixed point theorems for Kannan type mappings, J. Fixed Point Theory Appl. 19 (2017), 2145-2152. https://doi.org/10.1007/s11784-017-0402-8

L. V. Nguyen and N. T. N. Tram, Fixed point results with applications to involution mappings, J. Nonlinear Var. Anal. 4(3) (2020), 415-426. https://doi.org/10.23952/jnva.4.2020.3.06

R. P. Pant, Common fixed points of Lipschitz type mapping pairs, J. Math. Anal. Appl. 240 (1999), 280-283. https://doi.org/10.1006/jmaa.1999.6559

O. Popescu, A new class of contractive mappings, Acta Math. Hungar. 164 (2021), 570-579. https://doi.org/10.1007/s10474-021-01154-6

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