Convergence of iterates with errors of uniformly quasi-Lipschitzian mappings in cone metric spaces
Abstract
The aim of this paper is to consider an Ishikawa type iteration process with errors to approximate the fixed point of two uniformly quasi-Lipschitzian mappings in cone metric spaces. We also extend some fixed point results of these mappings from complete generalized convex metric spaces to cone metric spaces. Our results extend and generalize many known results.
Keywords:
uniformly quasi-Limpshitzian mappings / normal and nonormal cone / Ishikawa type iteration / fixed point / cone metric spaceSource:
Kragujevac Journal of Mathematics, 2011, 35, 3, 399-410Publisher:
- Univerzitet u Kragujevcu - Prirodno-matematički fakultet, Kragujevac
Funding / projects:
- Projekat Ministarstva nauke Republike Srbije: Convergence of iterates with errors of uniformly quasi-Lipschitzian mappings in cone metric spaces
Collections
Institution/Community
Mašinski fakultetTY - JOUR AU - Đukić, Dušan AU - Paunović, Ljiljana AU - Radenović, Stojan PY - 2011 UR - https://machinery.mas.bg.ac.rs/handle/123456789/1295 AB - The aim of this paper is to consider an Ishikawa type iteration process with errors to approximate the fixed point of two uniformly quasi-Lipschitzian mappings in cone metric spaces. We also extend some fixed point results of these mappings from complete generalized convex metric spaces to cone metric spaces. Our results extend and generalize many known results. PB - Univerzitet u Kragujevcu - Prirodno-matematički fakultet, Kragujevac T2 - Kragujevac Journal of Mathematics T1 - Convergence of iterates with errors of uniformly quasi-Lipschitzian mappings in cone metric spaces EP - 410 IS - 3 SP - 399 VL - 35 UR - https://hdl.handle.net/21.15107/rcub_machinery_1295 ER -
@article{ author = "Đukić, Dušan and Paunović, Ljiljana and Radenović, Stojan", year = "2011", abstract = "The aim of this paper is to consider an Ishikawa type iteration process with errors to approximate the fixed point of two uniformly quasi-Lipschitzian mappings in cone metric spaces. We also extend some fixed point results of these mappings from complete generalized convex metric spaces to cone metric spaces. Our results extend and generalize many known results.", publisher = "Univerzitet u Kragujevcu - Prirodno-matematički fakultet, Kragujevac", journal = "Kragujevac Journal of Mathematics", title = "Convergence of iterates with errors of uniformly quasi-Lipschitzian mappings in cone metric spaces", pages = "410-399", number = "3", volume = "35", url = "https://hdl.handle.net/21.15107/rcub_machinery_1295" }
Đukić, D., Paunović, L.,& Radenović, S.. (2011). Convergence of iterates with errors of uniformly quasi-Lipschitzian mappings in cone metric spaces. in Kragujevac Journal of Mathematics Univerzitet u Kragujevcu - Prirodno-matematički fakultet, Kragujevac., 35(3), 399-410. https://hdl.handle.net/21.15107/rcub_machinery_1295
Đukić D, Paunović L, Radenović S. Convergence of iterates with errors of uniformly quasi-Lipschitzian mappings in cone metric spaces. in Kragujevac Journal of Mathematics. 2011;35(3):399-410. https://hdl.handle.net/21.15107/rcub_machinery_1295 .
Đukić, Dušan, Paunović, Ljiljana, Radenović, Stojan, "Convergence of iterates with errors of uniformly quasi-Lipschitzian mappings in cone metric spaces" in Kragujevac Journal of Mathematics, 35, no. 3 (2011):399-410, https://hdl.handle.net/21.15107/rcub_machinery_1295 .