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Research Article

On the C-class functions of fixed point and best proximity point results for generalised cyclic-coupled mappings

Arslan Hojat AnsariDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, IranView further author information
,
Geno Kadwin JacobDepartment of Mathematics, Bharathidasan University, Trichy620 024, Tamil Nadu, IndiaView further author information
,
Muthiah MarudaiDepartment of Mathematics, Bharathidasan University, Trichy620 024, Tamil Nadu, IndiaView further author information
&
Poom KumamKMUTT-Fixed Point Theory and Applications Research Group (KMUTT-FPTA), Science Laboratory Building, Faculty of Science, Theoretical and Computational Science Center (TaCS), King Mongkuts University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok10140Thailand;KMUTTFixed Point Research Laboratory, Faculty of Science,Department of Mathematics, King Mongkuts University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok10140, ThailandCorrespondence[email protected] [email protected]
ORCID Iconhttps://orcid.org/0000-0002-5463-4581View further author information
ORCID Icon |
Hari M. SrivastavaUniversity of Victoria, CanadaView further author information
(Reviewing Editor)
Article: 1235354 | Received 03 Jul 2016, Accepted 02 Sep 2016, Published online: 04 Oct 2016

References

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  • Ansari, A. H. (2014). Note on “-contractive type mappings and related fixed point” (pp. 377-380). The 2nd Regional Conference on Mathematics and Applications, Payame Noor University.
  • Aydi, H., & Felhi, A. (2016). Best proximity points for cyclic Kannan-Chatterjea-Ciric type contractions on metric-like spaces. The Journal of Nonlinear Science and Applications, 9, 2458–2466.
  • Aydi, H., Felhi, A., & Karapinar, E. (2016). On common best proximity points for generalized -proximal contractions. The Journal of Nonlinear Science and Applications, 9, 2658–2670.
  • Choudhury, B. S., & Maity, P. (2014). Cyclic coupled fixed point result using Kannan type contractions. Journal of Operators, 2014, 5. Article ID 876749
  • Eldred, A. A., & Veeramani, P. (2006). Existence and convergence of best proximity points. Journal of Mathematical Analysis and Applications, 323, 1001–1006.
  • Gupta, A., Rajput, S. S., & Kaurav, P. S. (2014). Coupled best proximity theorem in metric spaces. International Journal of Analysis and Applications, 4, 201–215.
  • Kannan, R. (1969). Some results on fixed points II. The American Mathematical Monthly, 76, 405–408.
  • Kirk, W. A., Srinivasan, P. S., & Veeramani, P. (2003). Fixed points for mappings satisfying cyclical contractive conditions. Fixed Point Theory, 4, 79–89.
  • Kumam, P., Pragadeeswarar, V., Marudai, M., & Sitthithakerngkiet, K. (2014). Coupled best proximity points in ordered metric spaces. Fixed Point Theory and Applications, 2014, 107.
  • Lakshmikantham, V., & Ciric, L. (2009). Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces. Nonlinear Analysis, 70, 4341–4349.
  • Latif, A., Abbas, M., & Hussain, A. (2016). Coincidence best proximity point of -weak contractive mappings in partially ordered metric spaces. The Journal of Nonlinear Science and Applications, 9, 2448–2457.
  • Liu, X., Ansari, A. H., Chandok, S., & Park, C. (2016). Some new fixed point results in partial ordered metric spaces via admissible mappings and two new functions. The Journal of Nonlinear Science and Applications, 9, 1564–1580.
  • Mursaleen, M., Srivastava, H. M., & Sharma, S. K. (2016). Generalized statistically convergent sequences of fuzzy numbers. Journal of Intelligent & Fuzzy Systems, 30, 1511–1518.
  • Udo-utun, X. (2014). Existence of strong coupled fixed points for cyclic coupled Ciric-type mappings. Journal of Operators, 2014, 4. Article ID 381685

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