Về định lí điểm bất động chung cho ánh xạ trong không gian kiểu-mêtric
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Abstract
In this paper, we introduce the notion of --weakly contractive mappings in partially ordered metric-type spaces. Also, we establish a common fixed point theorem for these mappings in partially ordered metric-type spaces and then point out some consequences related. In addition, we provide illustrated examples for the findings.
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Keywords
fixed point, metric-type, --weakly contractive mapping
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), pp. 45-52.
[2]. B. C. Dhage (2000), “Generalized metric spaces and topological structure I”, An. Stiint. Univ. Al. I. Cuza Iasi. Mat. (N.S.), XLVI, pp. 3-24.
[3]. N. V. Dung, N. T. T. Ly, V. D. Thinh and N. T. Hieu (2013), “Suzuki-type fixed point theorems for two maps in metric-type spaces”, J. Nonlinear Anal. Optim., 4 (2), pp. 17-29.
[4]. S. Gahler (1963/64), “2-metrische raume und ihre topologische struktur”, Math. Nachr., (26), pp. 115-118.
[5]. N. T. Hieu and V. T. L. Hang (2013), “Coupled fixed point theorems for generalized - -contactive mappings in partially ordered metric-type spaces”, J. Nonlinear Anal. Optim., submitted.
[6]. N. Hussain, D. Djori’c, Z. Kadelburg and S. Radenovi’c (2012), “Suzuki-type fixed point results in metric type spaces”, Fixed Point Theory Appl., 2012:126, 14 pages.
[7]. M. Jovanovic, Z. Kadelburg and S. Radenovic (2010), “Common fixed point results in metric-type space”, Fixed Point Theory Appl., (2010), 15 pages.
[8]. M. A. Khamsi (2010), “Remarks on cone metric spaces and fixed point theorems of contractive mappings”, Fixed Point Theory Appl., (2010), 7 pages.
[9]. M. S. Khan, M. Swaleh and S. Sessa (1984), “Fixed point theorems by altering distances between the points”, Bull. Austral. Math. Soc, 30 (1), pp. 1-9.
[10]. A. J. Kurdila and M. Zabarankin (2005), Convex Functional Analysis, Birkhauser Verlag.
[11]. Z. Mustafa and B. Sims (2006), “A new approach to generalized metric spaces”, J. Nonlinear Convex Anal., 7 (2), pp. 289-297.
[12]. S. Sedghi, N. Shobe and A. Aliouche (2012), “A generalization of fixed point theorem in S -metric spaces”, Mat. Vesnik, 64 (3), pp. 258-266.
[2]. B. C. Dhage (2000), “Generalized metric spaces and topological structure I”, An. Stiint. Univ. Al. I. Cuza Iasi. Mat. (N.S.), XLVI, pp. 3-24.
[3]. N. V. Dung, N. T. T. Ly, V. D. Thinh and N. T. Hieu (2013), “Suzuki-type fixed point theorems for two maps in metric-type spaces”, J. Nonlinear Anal. Optim., 4 (2), pp. 17-29.
[4]. S. Gahler (1963/64), “2-metrische raume und ihre topologische struktur”, Math. Nachr., (26), pp. 115-118.
[5]. N. T. Hieu and V. T. L. Hang (2013), “Coupled fixed point theorems for generalized - -contactive mappings in partially ordered metric-type spaces”, J. Nonlinear Anal. Optim., submitted.
[6]. N. Hussain, D. Djori’c, Z. Kadelburg and S. Radenovi’c (2012), “Suzuki-type fixed point results in metric type spaces”, Fixed Point Theory Appl., 2012:126, 14 pages.
[7]. M. Jovanovic, Z. Kadelburg and S. Radenovic (2010), “Common fixed point results in metric-type space”, Fixed Point Theory Appl., (2010), 15 pages.
[8]. M. A. Khamsi (2010), “Remarks on cone metric spaces and fixed point theorems of contractive mappings”, Fixed Point Theory Appl., (2010), 7 pages.
[9]. M. S. Khan, M. Swaleh and S. Sessa (1984), “Fixed point theorems by altering distances between the points”, Bull. Austral. Math. Soc, 30 (1), pp. 1-9.
[10]. A. J. Kurdila and M. Zabarankin (2005), Convex Functional Analysis, Birkhauser Verlag.
[11]. Z. Mustafa and B. Sims (2006), “A new approach to generalized metric spaces”, J. Nonlinear Convex Anal., 7 (2), pp. 289-297.
[12]. S. Sedghi, N. Shobe and A. Aliouche (2012), “A generalization of fixed point theorem in S -metric spaces”, Mat. Vesnik, 64 (3), pp. 258-266.
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