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

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

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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. [6] Ciric, L. B. 1974. A generalization of Banach’s contractionprinciple, Proceedings of the American Mathematicalsociety (1974) 45(2), 267-273.
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9. [9] Reich, S., Zaslawski, A. J.2001. Well-posedness offixed point problems, Far East J. Math. Sci.(FJMS),(2001), 393-401.