REMARKS ON F−CONTRACTION IN S−METRIC SPACE
Resumen
In this approach, we focus on fixed points of F−contraction on an abstract space. In particular, we propose the idea of F−Suzuki contraction. The practical relevance of the established results is demonstrated via suitable examples.
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Citas
[1] Banach, B: Sur les op´erations dons les ensembles abstraits et leur application aux ´equations int´egrales. Fundam. Math. 3, 133-181 (1922).
[2] Suzuki, T: A new type of fixed point theorem in metric spaces. Nonlinear Anal. 71, 5313-5317 (2009).
[3] Edelstein, M: On fixed and periodic points under contractive mappings. J. Lond. Math. Soc. 37, 74-79 (1962).
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[5] Secelean, NA: Iterated function systems consisting of F-contractions. Fixed Point Theory Appl. 2013, Article ID 277 (2013). doi:10.1186/1687-1812-2013-277.
[6] S. Sedghi, N. Shobe, A. Aliouche, A generalization of fixed point theorem in S-metric spaces,Mat. Vesnik 64 (2012), 258-266.
[7] Hieu, N. T., Ly N. T. and Dung N. V., (2015), A generalization of Ciric quasi-contractions for maps on S−metric spaces, Thai J.Math., 13(2), pp. 369-380.
[8] Ozgur N. Y. and Tas N., (2017), Some new contractive mappings on S−metric space and their relationships with the mapings (S25), Math. Sci., 11(1), pp. 7-16.
[9] Mlaiki N. M., (2015). α−ψ−contraction mapping on S−metric spaces, Math. Sci. Lett., 4(1), pp. 9-12.
[10] Ozgur N. Y. and Tas N., (2016), Some generalizations of fixed point theorems on S−metric spaces, Essays in Mathematics and its Applications in Honor of Vladimir Arnold, New York, Springer.
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[12] S. Sedghi and Dung N. V., (2014) Fixed point theorems on S−metric spaces, Mat. Vesnik, 66(1), pp. 113–124.
[13] Fisher B., (1978), On a theorem of Khan, Riv. Math. Univ. Pharma. 4, pp. 135-137.
[14] Meir A. and Keeler E., (1969), A theorem on contraction mapping, J. Math. Anal. Appl. 28, pp. 326-329.
[15] Kumari P. S. and Panthi D., (2016), Concerning various types of cyclic contractions and contractive self-mappings with Hardy-Rogers self-mappings, Fixed Point Theory and Appl., 2016, Article ID 15.
[2] Suzuki, T: A new type of fixed point theorem in metric spaces. Nonlinear Anal. 71, 5313-5317 (2009).
[3] Edelstein, M: On fixed and periodic points under contractive mappings. J. Lond. Math. Soc. 37, 74-79 (1962).
[4] Wardowski, D: Fixed point theory of a new type of contractive mappings in complete metric spaces. Fixed Point Theory Appl. 2012, Article ID 94 (2012).
[5] Secelean, NA: Iterated function systems consisting of F-contractions. Fixed Point Theory Appl. 2013, Article ID 277 (2013). doi:10.1186/1687-1812-2013-277.
[6] S. Sedghi, N. Shobe, A. Aliouche, A generalization of fixed point theorem in S-metric spaces,Mat. Vesnik 64 (2012), 258-266.
[7] Hieu, N. T., Ly N. T. and Dung N. V., (2015), A generalization of Ciric quasi-contractions for maps on S−metric spaces, Thai J.Math., 13(2), pp. 369-380.
[8] Ozgur N. Y. and Tas N., (2017), Some new contractive mappings on S−metric space and their relationships with the mapings (S25), Math. Sci., 11(1), pp. 7-16.
[9] Mlaiki N. M., (2015). α−ψ−contraction mapping on S−metric spaces, Math. Sci. Lett., 4(1), pp. 9-12.
[10] Ozgur N. Y. and Tas N., (2016), Some generalizations of fixed point theorems on S−metric spaces, Essays in Mathematics and its Applications in Honor of Vladimir Arnold, New York, Springer.
[11] Ozgur N. Y. and Tas N., (2017) Some fixed point theorems on S−metric spaces, Mat. Vesnik, 69(1), pp. 39-52.
[12] S. Sedghi and Dung N. V., (2014) Fixed point theorems on S−metric spaces, Mat. Vesnik, 66(1), pp. 113–124.
[13] Fisher B., (1978), On a theorem of Khan, Riv. Math. Univ. Pharma. 4, pp. 135-137.
[14] Meir A. and Keeler E., (1969), A theorem on contraction mapping, J. Math. Anal. Appl. 28, pp. 326-329.
[15] Kumari P. S. and Panthi D., (2016), Concerning various types of cyclic contractions and contractive self-mappings with Hardy-Rogers self-mappings, Fixed Point Theory and Appl., 2016, Article ID 15.
Publicado
2026-03-15
Sección
Special Issue: Advances in Nonlinear Analysis and Applications
Derechos de autor 2026 Boletim da Sociedade Paranaense de Matemática
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