A common fixed point theorem for weakly tangential maps in b-metric spaces
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Abstract
In this paper, a common fixed point theorem for two weakly tangential self-maps on b-metric spaces is proven without the continuity of b-metric. This result extends the main results of [2] on metric spaces into b-metric spaces. Also, some examples are given to illustrate the results obtained.
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Keywords
common fixed point, b-metric, weakly tangential map
References
[1]. A. Aghaiani, M. Abbas, and J. R. Roshan (2014), "Common fixed point of generalized weak contractive mapping in partially order b-metric spaces", Math. Slovaca, 64 (4), p. 941-960.
[2]. M. Akkouchi (2011), "Well-posedness of a common fixed point problem for weakly tangential mappings", Acta Math. Vietnam, 36 (3), p. 623-635.
[3]. M. A. Al-thagafi, N. Shahzad (2008), "Generalized I-nonexpansive self maps and invariant approximations", Acta Math. Sinica, 24 (5), p. 867-876.
[4]. S. Czerwik (1998), "Nonlinear set - valued contraction mapping in b -metric spaces", Atti Sem. Math. Fis. Univ. Modena, (46), p. 263-276.
[5]. N. V. Dung, V. T. L. Hang, and S. Sedghi (2014), "Remarks on metric-type spaces and applications", Bul. Asian Math., accepted paper.
[6]. G. Jungck and B. E. Rhoades (2006), "Fixed point theorems for occasionally weakly compatible mappings", Fixed Point Theory, 7 (2), p. 287-296.
[7]. M. A. Khamsi (2010), "Remarks on cone metric spaces and fixed point theorems of contractive mappings", Fixed Point Theory Appl., (2010), p. 1-7.
[8]. M. A. Khamsi and N. Husain (2010), "KKM mappings in metric-type spaces", Nonlinear Anal., 7 (9), p. 3123-3129.
[9]. Nguyễn Thị Thanh Lý và Nguyễn Văn Dũng (2014), "Định lí điểm bất động cho ánh xạ trơn trên không gian kiểu-mêtric", Tạp chí Đại học Công nghệ Sài Gòn, bài gửi đăng.
[2]. M. Akkouchi (2011), "Well-posedness of a common fixed point problem for weakly tangential mappings", Acta Math. Vietnam, 36 (3), p. 623-635.
[3]. M. A. Al-thagafi, N. Shahzad (2008), "Generalized I-nonexpansive self maps and invariant approximations", Acta Math. Sinica, 24 (5), p. 867-876.
[4]. S. Czerwik (1998), "Nonlinear set - valued contraction mapping in b -metric spaces", Atti Sem. Math. Fis. Univ. Modena, (46), p. 263-276.
[5]. N. V. Dung, V. T. L. Hang, and S. Sedghi (2014), "Remarks on metric-type spaces and applications", Bul. Asian Math., accepted paper.
[6]. G. Jungck and B. E. Rhoades (2006), "Fixed point theorems for occasionally weakly compatible mappings", Fixed Point Theory, 7 (2), p. 287-296.
[7]. M. A. Khamsi (2010), "Remarks on cone metric spaces and fixed point theorems of contractive mappings", Fixed Point Theory Appl., (2010), p. 1-7.
[8]. M. A. Khamsi and N. Husain (2010), "KKM mappings in metric-type spaces", Nonlinear Anal., 7 (9), p. 3123-3129.
[9]. Nguyễn Thị Thanh Lý và Nguyễn Văn Dũng (2014), "Định lí điểm bất động cho ánh xạ trơn trên không gian kiểu-mêtric", Tạp chí Đại học Công nghệ Sài Gòn, bài gửi đăng.
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