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

Yıl 2019, Cilt: 23 Sayı: 1, 1 - 5, 01.04.2019

Nurcan Bilgili Güngör

https://doi.org/10.19113/sdufenbed.439699

Öz

Bu araştırma makalesinde, esnek simetrik olmayan metrik uzaylarda kapalı büzülmeler

içeren bazı ortak sabit nokta sonuçları sunulmuştur. Ayrıca dönüşümlerin ortak sabit nokta

probleminin well-posedness özelliği tanımlanmış ve bununla ilgili bir teorem verilmiştir.

Son olarak, esnek G-metrik uzaylardaki bazı sabit nokta sonuçlarının, bu makalede verilen

ana teoremlerin ivedi sonuçları olduğu gösterilmiştir.

Anahtar Kelimeler

ortak sabit nokta, kapalı büzülmeler, iyi belirlenme, esnek simetrik olmayan metrik uzay

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

Öz

Some common fixed point results involving implicit contractions on soft quasi metric

spaces are presented in this research article. Also, the well posedness property of the

common 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 urgent

outcomes of main theorems are given in this article .

Anahtar Kelimeler

common fixed point, implicit contractions, well posedness, soft quasi metric space

Kaynakça

• [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.