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Date Published: 22/10/2016
Online Published: 22/10/2016
Abstract Views: 23
Views PDF: 27
DOI: https://doi.org/10.52714/dthu.22.10.2016.401
Issue
No. 22 (2016): Part B - Natural Sciences
Section
Natural Sciences Issue
How to Cite
Nguyen, T. H., & Le, T. C. (2016). Common fixed point theorems for generalized weak -contraction mappings in partially ordered 2 -metric spaces. Dong Thap University Journal of Science, 22, 93-99. https://doi.org/10.52714/dthu.22.10.2016.401

Common fixed point theorems for generalized weak -contraction mappings in partially ordered 2 -metric spaces

Trung Hieu Nguyen1, Thi Chac Le
1 Dong Thap University

Main Article Content

Abstract

In this paper, we introduce the notions of  a weak -contraction mapping, a generalized weak -contraction mapping in partially ordered -metric spaces and establish some common fixed point theorems for these two classes of mappings. These results are the generalizations of the main results in [4] and [7]. We also provide some illustrated examples for the obtained results.

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Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Keywords

common fixed point, T -weakly isotone increasing mappings, generalized weak (,, ) ψ S C -contraction mappings, orbitally complete 2 -metric spaces

References

[1]. S. Chandok (2013), “Some common fixed point results for generalized weak contractive mappings in partially ordered metric spaces”, J. Nonlinear Anal. Optim., 4 (1), p. 45-52.
[2]. S. K. Chatterjea (1972), “Fixed point theorems”, Rend. Acad. Bulgare. Sci.(25), p. 727-730.
[3]. B. S. Choudhury (2009), “Unique fixed point theorem for weakly C -contractive mapping”, Kathmandu Univ. J. Sci. Engi. Tech., 5 (1), p. 6-13.
[4]. N. V. Dung and V. T. L. Hang (2013), “Fixed point theorems for weak C -contractions in partially ordered 2 -metric spaces”, Fixed Point Theory Appl., (2013:161), p. 1-12.
[5]. S. Gähler (1963), “ 2 -metrische Räume und ihre topologische Struktur”, Math. Nachr., (26), p. 115-118.
[6]. J. Harjani, B. López, and K. Sadarangani (2011), “Fixed point theorems for weakly C -contractive mappings in ordered metric spaces”, Comput. Math. Appl., (61), p. 790-796.
[7]. H. K. Nashine (2014), “Common fixed point via weakly (,, ) ψ S C -contraction mappings on ordered metric spaces and application to intergral equation”, Thai. J. Math., 12 (3), p. 729-747.
[8]. B. E. Rhoades (1977), “A comparison of various definitions of contractive mappings”, Trans. Amer. Math. Soc., (226), p. 257-290.

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