2,171
Views
6
CrossRef citations to date
0
Altmetric
Research Article

Some fixed point theorems for convex contractive mappings in complete metric spaces with applications

, & | (Reviewing editor)
Article: 1655870 | Received 08 Apr 2019, Accepted 04 Aug 2019, Published online: 28 Aug 2019

References

  • Agarwal, R. P., Karapinar, E., O’Regan, D., & -de Hierro, A. F. R. L. (2015). Fixed point theory in metric type spaces. Switzwrland: Springer International Publishing.
  • Alghamdi, M. A., Alnafei, S. H., Radenovic, S., & Shahzad, N. (2011). Fixed point theorems for convex contraction mappings on cone metric spaces. Mathematical and Computer Modelling, 54, 2020–11. doi:10.1016/j.mcm.2011.05.010
  • Ampadu, C. K. B. (2017a). On the analogue of the convex contraction mapping theorem for tri-cyclic convex contraction mapping of order 2 in b-metric space. Journal of Global Research in Mathematical Archives, 4(6), 1–5.
  • Ampadu, C. K. B. (2017b). Some fixed point theory results for convex contraction mapping of order 2. JP Journal of Fixed Point Theory and Applications, 12(2–3), 81–130. doi:10.17654/FP0120230081
  • Banach, S. (1922). Sur les operations dans les ensembles absraites et leurs applications. Fundamenta Mathematicae, 3, 133–181. doi:10.4064/fm-3-1-133-181
  • Bisht, R. K., & Hussian, N. (2017). A note on convex contraction mappings and discontinuity at fixed point. The Journal of Mathematical Analysis, 8(4), 90–96.
  • Bisht, R. K., & Rakocevic, V. (2018). Fixed points of convex and generalized convex contractions. Rendiconti Del Circolo Matematico Di Palermo Series 2. doi:10.1007/s12215-018-0386-2
  • Chandok, S., & Dinu, S. (2013). Common fixed point for weak ψ- contractive mappings in ordered metric spaces with applications. Abstract and Applied Analysis, Volume 2013, p. 7. Article ID 879084.
  • Chatterjea, S. K. (1972). Fixed-point theorems. Comptes Rendus de l ‘Academie Bulgare des Sciences, 25, 727–730.
  • Choudhury, B. S. (2009). Unique fixed point theorem for weak C-contractive mappings, Kathmandu university journal of science. Engineering and Technology, 5, 6–13.
  • Ciric, L. B. (1971). Generalized contractions and fixed point theorems. Publications De L’Institut Mathematique, 26, 19–26.
  • Ciric, L. B. (2003). Some recent results in metrical fixed point theory. Beograd: University of Belgrade.
  • Eke, K. S. (2016a). Fixed point results for generalized weakly C-contractive mappings in ordered G-partial metric spaces. British Journal of Mathematics and Computer Science, 12(1), 1–11. doi:10.9734/BJMCS/2016/18991
  • Eke, K. S. (2016b). Common fixed point theorems for generalized contraction mappings on uniform spaces. Far East Journal of Mathematical Sciences, 99(11), 1753–1760. doi:10.17654/MS099111753
  • Eke, K. S., Imaga, O. F., & Odetunmibi, O. A. (2017). Convergence and stability of some modified iterative processes for a class of generalized contractive-like operators. IAENG International Journal of Computer Sciences, 44(4), 4.
  • Eke, K. S., Oghonyon, J. G., & Davvaz, B. (2018). Some fixed point theorems for contractive maps in fuzzy G-partial metric spaces. International Journal of Mechanical Engineering and Technology, 9(8), 635–645.
  • Georgescu, F. (2017). IFS consisting of generalized convex contractions. Analele Stiintifice Ale Universitatii Ovidius Constanta, 25(1), 77–86. doi:10.1515/auom-2017-0007
  • Hardy, G. E., & Rogers, T. D. (1973). A generalisation of a fixed point theory of Reich. The Canadian Mathematical Bulletin, 16(2), 201–206. doi:10.4153/CMB-1973-036-0
  • Istratescu, V. I. (1981). Some fixed point theorems for convex contraction mappings and nonexpansive mapping. I, Liberatan Mathematical, 1, 151–163.
  • Kannan, R. (1968). Some results on fixed points. Bulletin of the Calcutta Mathematical Society, 10, 71–76.
  • Kirk, W., & Shahzad, N. (2014). Fixed point theory in distance spaces. Switzwrland: Springer International Publishing.
  • Muresan, V., & Muresan, A. S. (2015). On the theory of fixed point theorems for convex contraction mappings. Carpathian Journal of Mathematics, 31(3), 365–371.
  • Parvaneh, V., & Hosseinzadeh, H. (2012). Some common fixed point theorems for weakly Cf,g-contractive mappings in complete metric spaces. Journal of Applied Sciences, 12(7), 661–667. doi:10.3923/jas.2012.661.667
  • Roy, K., & Saha, M. (2018, June 16). On Ciric-type contractive mappings and fixed points over a C*-algebra valued metric space. arXiv:1806.06175v1 [math.fa].