Abstract metric spaces and approximating fixed points of a pair of contractive type mappings
Апстракт
Recently, Chao Wang, Jinghao Zhu, Bosko Damjanovie, Liang-gen Hu [Approximating fixed points of a pair of contractive type mappings in generalized convex metric spaces, Applied Mathematics and Computation 215 (2009) 1522-1525] proved some results for an Ishikawa type iteration process with errors, which converges to the unique common fixed point of a pair of contractive type mappings in complete generalized convex metric spaces. The aim of this paper is to consider this in the frame of abstract (cone) metric spaces. We extend some fixed point results of these mappings from complete generalized convex metric spaces to convex abstract metric spaces with the solid cone. Also, we have improved some results. Four examples are included.
Кључне речи:
Uniformly quasi-Lipschitzian mappings / Normal and non-normal cone / Ishikawa type iteration process with errors / Convex abstract metric spacesИзвор:
Journal of Computational Analysis and Applications, 2011, 13, 2, 243-253Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Abbas, M. AU - Jovanović, Mirko AU - Radenović, Stojan AU - Sretenović, Aleksandra AU - Simić, Suzana PY - 2011 UR - https://machinery.mas.bg.ac.rs/handle/123456789/1320 AB - Recently, Chao Wang, Jinghao Zhu, Bosko Damjanovie, Liang-gen Hu [Approximating fixed points of a pair of contractive type mappings in generalized convex metric spaces, Applied Mathematics and Computation 215 (2009) 1522-1525] proved some results for an Ishikawa type iteration process with errors, which converges to the unique common fixed point of a pair of contractive type mappings in complete generalized convex metric spaces. The aim of this paper is to consider this in the frame of abstract (cone) metric spaces. We extend some fixed point results of these mappings from complete generalized convex metric spaces to convex abstract metric spaces with the solid cone. Also, we have improved some results. Four examples are included. T2 - Journal of Computational Analysis and Applications T1 - Abstract metric spaces and approximating fixed points of a pair of contractive type mappings EP - 253 IS - 2 SP - 243 VL - 13 UR - https://hdl.handle.net/21.15107/rcub_machinery_1320 ER -
@article{ author = "Abbas, M. and Jovanović, Mirko and Radenović, Stojan and Sretenović, Aleksandra and Simić, Suzana", year = "2011", abstract = "Recently, Chao Wang, Jinghao Zhu, Bosko Damjanovie, Liang-gen Hu [Approximating fixed points of a pair of contractive type mappings in generalized convex metric spaces, Applied Mathematics and Computation 215 (2009) 1522-1525] proved some results for an Ishikawa type iteration process with errors, which converges to the unique common fixed point of a pair of contractive type mappings in complete generalized convex metric spaces. The aim of this paper is to consider this in the frame of abstract (cone) metric spaces. We extend some fixed point results of these mappings from complete generalized convex metric spaces to convex abstract metric spaces with the solid cone. Also, we have improved some results. Four examples are included.", journal = "Journal of Computational Analysis and Applications", title = "Abstract metric spaces and approximating fixed points of a pair of contractive type mappings", pages = "253-243", number = "2", volume = "13", url = "https://hdl.handle.net/21.15107/rcub_machinery_1320" }
Abbas, M., Jovanović, M., Radenović, S., Sretenović, A.,& Simić, S.. (2011). Abstract metric spaces and approximating fixed points of a pair of contractive type mappings. in Journal of Computational Analysis and Applications, 13(2), 243-253. https://hdl.handle.net/21.15107/rcub_machinery_1320
Abbas M, Jovanović M, Radenović S, Sretenović A, Simić S. Abstract metric spaces and approximating fixed points of a pair of contractive type mappings. in Journal of Computational Analysis and Applications. 2011;13(2):243-253. https://hdl.handle.net/21.15107/rcub_machinery_1320 .
Abbas, M., Jovanović, Mirko, Radenović, Stojan, Sretenović, Aleksandra, Simić, Suzana, "Abstract metric spaces and approximating fixed points of a pair of contractive type mappings" in Journal of Computational Analysis and Applications, 13, no. 2 (2011):243-253, https://hdl.handle.net/21.15107/rcub_machinery_1320 .