FIXED POINT RESULTS FOR WEAK S-CONTRACTIONS VIA C-CLASS FUNCTIONS

  • Ljiljana Paunović Teacher Education Faculty in Prizren-Leposavić, University of Priština, Leposavić, Serbia
  • Müzeyyen Sangurlu Sezen Department of Mathematics, Faculty of Science and Arts, Giresun University, Giresun
  • Arslan Hojat Ansari Department of Mathematics, Islamic Azad University, Faculty of Science, Karaj
Keywords: C-class function, Weak S-contraction, Fixed point,

Abstract


In this paper, we prove some fixed point results for weak S-contraction mappings in partially ordered 2-metric spaces via C-class function. Our results are different and more general to the usual methods in the literature.



Author Biography

Ljiljana Paunović, Teacher Education Faculty in Prizren-Leposavić, University of Priština, Leposavić, Serbia

Docent na Učiteljskom fakultetu, naučna oblast   Matematika, magistratura iz oblasti numeričke analize (odbranjen magistarski rad na Prirodno-matematičkom fakultetu u Kragujevcu), doktorat iz oblasti funkcionalne analize (odbranjen na pmf-u u Kragujevcu).

 

References

Ali, M., Kamran, T., & Karapınar, E. 2014. Fixed point of α-ψ-contractive type mappings in uniform spaces. Fixed Point Theory and Applications, 2014(1), p. 150. doi:10.1186/1687-1812-2014-150

Banach, S. 1922. Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales. Fundamenta Mathematicae, 3, pp. 133-181. doi:10.4064/fm-3-1-133-181

Birgani, O. T., Koppelaar, H., & Radenović, S. 2018. Fixed point theorems for weak S-contractions in partially ordered 2-metric spaces. Advances in Fixed Point Theory, doi:10.28919/afpt/3625

Choudhury, B. S. 2009. Unique Fixed Point Theorem for Weakly C-Contractive Mappings. Kathmandu University Journal of Science, Engineering and Technology, 5(1), pp. 6-13. doi:10.3126/kuset.v5i1.2842

Dung, N. V., & Le, H. V. T. 2013. Fixed point theorems for weak C-contractions in partially ordered 2-metric spaces. Fixed Point Theory and Applications, 2013(1). doi:10.1186/1687-1812-2013-161

Gähler, S. 1963. 2-metrische Räume und ihre topologische Struktur. Mathematische Nachrichten, 26(1-4), pp. 115-148. doi:10.1002/mana.19630260109

Iseki, K. 1975. Fixed point theorems in 2-metric spaces. Math. Sem. Notes, 3(1975), pp. 133-136.

Iseki, K. 1976. Mathematics on 2-normed spaces. Bull. Korean Math. Soc, 13(2), pp. 127-135.

Kannan, R. 1968. Some results on fixed points. Bull. Cal. Math. Soc., 60, pp. 71-76.

Shukla, D. P., & Tiwari, S. K. 2011. Unique fixed point theorem for weakly S-contractive mappings. Gen. Math. Notes, 4(1), pp. 28-34.

Published
2019/12/30
Section
Original Scientific Paper