Fixed point theorems for modified generalized F-contraction in G-metric spaces
Résumé
In this paper, we introduce new notions of generalized F-contractions of type(S) and type(M) in G-metric spaces. Some common fixed point theorems are proved using these notions. A suitable example is also provided to support our results.
Téléchargements
Références
Banach, S., Sur les operations dans les ensembles abstraits et leur application aux equations integrals, Fundamenta Mathematicae 3, 133-181,(1922). https://doi.org/10.4064/fm-3-1-133-181
Dung, N. V. and Hang, V. L., A fixed point theorem for generalized F-contractions on complete metric spaces, Vietnam J. Math. 43, 743-753, (2015). https://doi.org/10.1007/s10013-015-0123-5
Mustafa, Z. and Sims, B., A new approach to generalized metric spaces, J. Nonlinear Convex Anal. 7(2), 289-297, (2006).
Piri, H. and Kumam, P., Some fixed point theorems concerning F-contraction in complete metric spaces, Fixed Point Theory Appl. 2014, Article ID 210, 1-13, (2014). https://doi.org/10.1186/1687-1812-2014-210
Piri, H. and Kumam P., Wardowski type fixed point theorems in complete metric spaces, Fixed Point Theory Appl. 45, 1-12, (2016). https://doi.org/10.1186/s13663-016-0529-0
Wardowski, D., Fixed points of a new type of contractive mappings in complete metric spaces, Fixed Point Theory Appl. 2012, Article ID 94, 1-6, (2012). https://doi.org/10.1186/1687-1812-2012-94
Wardowski, D. and Dung, N. V., Fixed points of F-weak contractions on complete metric spaces, Demonstr. Math. XLVII, 146-155, (2014). https://doi.org/10.2478/dema-2014-0012
Copyright (c) 2022 Boletim da Sociedade Paranaense de Matemática
Ce travail est disponible sous la licence Creative Commons Attribution 4.0 International .
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
