Some Common Fixed Point Results For Contractive Mappings In Ordered Gp-Metric Spaces
Abstract
In this present article, the sufficient conditions for the existence and uniqueness of fixed points and common fixed points of single and double mappings satisfying various contractive conditions within the partially ordered Gp -complete Gp -metric spaces have been obtained. Also, some examples supporting the results obtained have been given. The theorems obtained generalize some fixed point results existing in the literatüre.
Keywords
References
- Altun, I., Erduran, A., (2010), ``Fixed Point Theorems for Monotone Mappings on Partial Metric Spaces’’, Fixed Point Theory Appl., 2011, 1–10.
- Altun, I., Sola F., Şimşek, H. (2010), ``Generalized contractions on partial metric spaces’’, Topology Appl., 157, 2778–2785.
- Altun, I, Şimşek, H., (2010), ``Some Fixed Point Theorems on Ordered Metric Spaces and Application’’, Fixed Point Theory and Applications, 2010, 17 pages .
- Aydi, H., Karapınar E., Salimi, P., (2012), ``Some fixed point results in -metric spaces’’, J. Appl. Math., 2012, 1–15.
- Banach, S., (1922), ``Sur les operations dans les ensembles abstraits et leur application aux équations integrales’’, Fund. Math. J., 3, 133–181.
- Barakat M.A., Zidan, A.M. (2015), ``A common fixed point theorem for weak contractive maps in -metric spaces’’, J. Egyptian Math. Soc., 23, 309–314.
- Beiranvand, A., Moradi, S., Omid, M., Pazandeh, H., (2009), ``Two Fixed Point Theorems For Special Mappings’’, arxiv:0903.1504v1 math.FA.
- Bilgili, N., Karapınar E., Salimi, P., (2013), ``Fixed point theorems for generalized contractions on -metric spaces’’, Journal of Inequalities and Applications 2013:39, 1–13.
Details
Primary Language
Turkish
Subjects
Engineering
Journal Section
Research Article
Authors
Meltem Kaya
KAHRAMANMARAŞ SÜTÇÜ İMAM ÜNİVERSİTESİ
Türkiye
Hasan Furkan
This is me
KAHRAMANMARAŞ SÜTÇÜ İMAM ÜNİVERSİTESİ
Türkiye
Publication Date
December 31, 2016
Submission Date
August 11, 2017
Acceptance Date
December 30, 2016
Published in Issue
Year 2016 Volume: 15 Number: 30
