Fixed point theorems for modified generalized F-contraction in G-metric spaces
DOI:
https://doi.org/10.5269/bspm.45061Resumen
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.
Referencias
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5. 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
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7. 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
2. 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
3. Mustafa, Z. and Sims, B., A new approach to generalized metric spaces, J. Nonlinear Convex Anal. 7(2), 289-297, (2006).
4. 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
5. 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
6. 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
7. 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
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Publicado
2022-01-31
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Research Articles
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