• Stojan Radenović
  • Sumit Chandok Thapar University, Patiala, India
  • Wasfi Shatanawi
Keywords: contractive mappings, C-class function, fixed point, Cauchy sequence, cyclic mapping,


In this paper, we obtained some new cyclic type fixed point theorems using C-class functions in the framework of metric spaces. Our results extend, generalize, improve and enrich some recent results in the existing literature.



Chandok, S., Tas, K., & Hojat Ansari, A., 2016. Some fixed point results for TAC-type contractive mappings, Journal of Function Spaces, 2016, Article ID 1907676, pp. 1-6.

Kadelburg, Z., Radenović, S., & Vujaković, J., 2016. A note on the paper “Fixed point theorems for cyclic weak contractions in compact metric spaces”, Fixed Point Theory Appl. 2016:46, DOI 10.1186/s13663-016-0537-0.

Kirk, W., Srinavasan P., & Veeramani, P., 2003. Fixed points for mapping satisfying cyclical contractive conditions, Fixed Point Theory, 4(1), pp.79-89.

Radenović,S., Došenović, T., Aleksić Lampert, T., & Golubović, Z., 2016. A note on some recent fixed point results for cyclic contractions in b-metric spaces and an application to integral equations, Applied Mathematics and Computation. 273, pp. 155-164. Doi:10.1016/j.amc.2015.09.089.

Radenović, S., Kadelburg, Z., Jandrlić, D., & Jandrlić, A., 2012. Some results on weakly contractive maps, Bull. Iran. Math. Soc. 38(3), pp. 625-645.

Radenović, S., 2015a. A note on fixed point theory for cyclic weaker Meir-Keeler function in complete metric spaces, Int. J. Anal. Appl. 7(1), pp. 16-21.

Radenović, S., 2015b. A note on fixed point theory for cyclic ϕ−contractions, Fixed Point Theory Appl., 2015:189.DOI: 10.1186/s13663-015-0437-8.

Radenović, S., 2016. Some remarks on mappings satisfying cyclical contractive conditions, Afrrika Matematika. 27(1), pp. 291-295. DOI:10.1007/s13370-015-0339-2.

Van Dung, N., & Hang, V., 2016. Remarks on cyclic contractions in b-metric spaces and applications to integral equations, Revista de la Academia de Ciencias Exactas, Fisicas y Naturales, Serie A. Matematicas, DOI 10.1007/s13398-016-0291-5.

Van Dung, N., & Radenović, S., 2016, Remarks on theorems for cyclic quasi-contractions, Kragujevac Journal of Mathematics. 40(2), pp. 272-279.

Original Scientific Paper