New Fixed Point Theorems for θ-ϕ Suzuki Contraction on Partial Metric Spaces

Article Sidebar

PDF
Published: Dec 29, 2019
Keywords:
Fixed points Partial metric space θ-ϕ Suzuki contraction

Main Article Content

Areerat Arunchai
Faculty of Science and Technology, Nakhon Sawan Rajabhat University
Aumpawan Lampet
Faculty of Science and Technology, Nakhon Sawan Rajabhat University
Pornsuda Piromsuk
Faculty of Science and Technology, Nakhon Sawan Rajabhat University
Supasiri Ourliang
Faculty of Science and Technology, Nakhon Sawan Rajabhat University

Abstract

In this paper, we establish new fixed point theorems for θ-ϕ Suzuki contraction on complete partial metric spaces. The results presented in the paper improve and extend some previous results.

Article Details

How to Cite
1.
Arunchai A, Lampet A, Piromsuk P, Ourliang S. New Fixed Point Theorems for θ-ϕ Suzuki Contraction on Partial Metric Spaces. Prog Appl Sci Tech. [Internet]. 2019 Dec. 29 [cited 2024 Dec. 17];9(2):1-9. Available from: https://ph02.tci-thaijo.org/index.php/past/article/view/242921
Issue
Vol. 9 No. 2 (2019): July - December 2019
Section
Mathematics and Applied Statistics

References

M.P. Schellekens, A characterization of partial metrizability: domains are quantifiaple, Theor. Computer Science, 305 (2003), 409-432. https://doi.org/10.1016/s0304-3975(02)00705-3

S. Romaquera, A Kirk type characterization of completeness for partial metric spaces, Fixed Point Theory Appl., 2010 (2010) Article ID 493298, 1-7. https://doi.org/10.1155/2010/493298

M. Jleli, B. Samet, A new generalization of the Banach contraction principle, J. Inequal. Appl., 2014 (2014), 38. https://doi.org/10.1186/1029-242x-2014-38

T. Suzuki, A new type of fixed point theorem in metric spaces, Nonlinear Anal., 71 (2009), 5313-5317. 1,2.4

R. Heckmann, Approximation of metric spaces by partial metric spaces, Appl. Categ. Struc-tures, 7(1999), 71-83.

S. Oltra, O. Valero, Banach's fixed point theorem for partial metric spaces, Rend. Istit. Mat. Univ.Trieste, Spanish Ministry of Science and Technology, (2004), 17-26.

T. Abdeljawad, Fixed points for generalized weakly contractive mappings in partial metric spaces,Mathematical and computer Modelling, 54 (2011) no. 11-12, 2923-2927. http://doi.org/10.1016/j.mcm.2011.07.013

I. Altun, A. Erduran, Fixed point theorems for monotone mappings on partial metric spaces, Fixed Point Theory and Applications, 2011 (2011), 1155-1165. http://doi.org/10.1155/2011/508730

Dingwei Zheng, Zhangyong Cai, Pei Qang, New fixed point theorems for θ-ϕ contraction in complete metric spaces. Journal of Nonlinear Sciences and Applications, 10 (2017), 2662-2670. http://doi.org/10.22436/jnsa.010.05.32

T.Tao Hu, Dingwei Zheng and Jingren Zhou^1 Some New Fixed Point Theorems on Partial Metric Spaces International Journal of Mathematical Analysis Vol. 12, 2018, no. 7, 343-352 HIKARI Ltd,www.m-hikari.com http://doi.org/10.12988/ijma.2018.8538

S.Banach, Sur les ope ́rations dans les ensembles abseraits et leur application aux e ́quations inte ́grales, Fund. Math., 3 (1922), 133-181.