Esnek Simetrik Olmayan Metrik Uzaylarda Kapalı Büzülmeler yoluyla Ortak Sabit Nokta Teoremleri

Bu araştırma makalesinde, esnek simetrik olmayan metrik uzaylarda kapalı büzülmeleriçeren bazı ortak sabit nokta sonuçları sunulmuştur. Ayrıca dönüşümlerin ortak sabit noktaprobleminin well-posedness özelliği tanımlanmış ve bununla ilgili bir teorem verilmiştir.Son olarak, esnek G-metrik uzaylardaki bazı sabit nokta sonuçlarının, bu makalede verilenana teoremlerin ivedi sonuçları olduğu gösterilmiştir.

Common Fixed Point Theorems via Implicit Contractions in Soft Quasi Metric Spaces

Some common fixed point results involving implicit contractions on soft quasi metricspaces are presented in this research article. Also, the well posedness property of thecommon fixed point problem of mappings is defined and a theorem is given about it.Finally, some fixed point results on soft G-metric spaces are indicated to be urgentoutcomes of main theorems are given in this article .

___

  • [1] Bilgili Gungor, N. 2018. Fixed point results from softmetric spaces and soft quasi metric spaces to soft Gmetricspaces, TWMS Journal of Applied and EngineeringMathematics (in review).
  • [2] Das, S., Samanta, S.K. 2013. On soft metric spaces, J.Fuzzy Math. 21 (3) (2013) 707-734.
  • [3] Guler, A. C., Yildirim, E. D., Ozbakir, O. B.2016. AFixed point theorem on soft G-metric spaces, J. NonlinearSci. Appl. 9 (2016) 885-894.
  • [4] Abbas, M., Rhoades,B. E.2009. Common Fixed PointResults for Noncommuting mappings without continuityin generalized metric spaces, Appl. Math. andComputation 215 (2009), 262-269.1, 4.5.
  • [5] Popa, V., Patriciu, A. M.2012. A General Fixed PointTheorem for Mappings Satisfying An f-Implicit Relationin Complete G-Metric Spaces, Gazi UniversityJournal of Science, 25(2): 403-408 (2012).
  • [6] Ciric, L. B. 1974. A generalization of Banach’s contractionprinciple, Proceedings of the American Mathematicalsociety (1974) 45(2), 267-273.
  • [7] De Blasi, F. S., Myjak, T.1989. Sur la porosité lescontraction sans point fixe ,C.R.Acad. Sci. Paris,308(1989), 51-54 .
  • [8] Lahiri, B. K., Dos,D.2005. Well-posedness and porosityof a certain class of operators, Demonstratio Math.,1(2005), 170-176.
  • [9] Reich, S., Zaslawski, A. J.2001. Well-posedness offixed point problems, Far East J. Math. Sci.(FJMS),(2001), 393-401.