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From interpolative contractive mappings to generalized Ciric-quasi contraction mappings

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From interpolative contractive mappings to generalized Ciric-quasi contraction mappings

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Roy, K.; Panja, S. (2021). From interpolative contractive mappings to generalized Ciric-quasi contraction mappings. Applied General Topology. 22(1):109-120. https://doi.org/10.4995/agt.2021.14045

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Título: From interpolative contractive mappings to generalized Ciric-quasi contraction mappings
Autor: Roy, Kushal Panja, Sayantan
Fecha difusión:
Resumen:
[EN] In this article we consider a restricted version of Ciric-quasi contraction mapping for showing that this mapping generalizes several known interpolative type contractive mappings. Also here we introduce the concept ...[+]
Palabras clave: Fixed point , Restricted Ciric-quasi contraction mapping , Interpolative strictly contractive type mapping , T-orbitally compact metric space
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.2021.14045
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2021.14045
Agradecimientos:
First and second authors acknowledge financial support awarded by the Council of Scientific and Industrial Research, New Delhi, India, through research fellowship for carrying out research work leading to the preparation ...[+]
Tipo: Artículo

References

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S. Banach, Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales, Fund. Math. 3 (1922), 133-181. https://doi.org/10.4064/fm-3-1-133-181

L. B. Ciric, A generalization of Banach's contraction principle, Proc. Amer. Math. Soc. 45, no. 2 (1974), 267-273. https://doi.org/10.2307/2040075 [+]
C. B. Ampadu, Some fixed point theory results for the interpolative Berinde weak operator, Earthline Journal of Mathematical Sciences 4 no. 2 (2020), 253-271. https://doi.org/10.34198/ejms.4220.253271

S. Banach, Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales, Fund. Math. 3 (1922), 133-181. https://doi.org/10.4064/fm-3-1-133-181

L. B. Ciric, A generalization of Banach's contraction principle, Proc. Amer. Math. Soc. 45, no. 2 (1974), 267-273. https://doi.org/10.2307/2040075

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L. B. Ciric, Generalized contractions and fixed-point theorems, Publ. Inst. Math. 12 (1971), 19-26.

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E. Karapinar, R. P. Agarwal and H. Aydi, Interpolative Reich-Rus-Ciric type contractions on partial metric spaces, Mathematics 6, no. 11 (2018), 256. https://doi.org/10.3390/math6110256

E. Karapinar, O. Alqahtani and H. Aydi, On interpolative Hardy-Rogers type contractions, Symmetry 11, no. 1 (2018), 8. https://doi.org/10.3390/sym11010008

A. F. Roldán López de Hierro, E. Karapinar and A. Fulga, Multiparametric contractions and related Hardy-Roger type fixed point theorems, Mathematics 8, no. 6 (2020), 957. https://doi.org/10.3390/math8060957

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