Asadi, M.; Soleimani, H.; Vaezpour, S. M.; Rhoades, B. E. On \(T\)-stability of Picard iteration in cone metric spaces. (English) Zbl 1202.54030 Fixed Point Theory Appl. 2009, Article ID 751090, 6 p. (2009). Summary: The aim of this work is to investigate the \(T\)-stability of Picard’s iteration procedures in cone metric spaces and give an application. Cited in 9 Documents MSC: 54H25 Fixed-point and coincidence theorems (topological aspects) 47J25 Iterative procedures involving nonlinear operators PDFBibTeX XMLCite \textit{M. Asadi} et al., Fixed Point Theory Appl. 2009, Article ID 751090, 6 p. (2009; Zbl 1202.54030) Full Text: DOI EuDML References: [1] Huang L-G, Zhang X: Cone metric spaces and fixed point theorems of contractive mappings.Journal of Mathematical Analysis and Applications 2007,332(2):1468-1476. 10.1016/j.jmaa.2005.03.087 · Zbl 1118.54022 · doi:10.1016/j.jmaa.2005.03.087 [2] Zhiqun, X., Remarks of equivalence among Picard, Mann, and Ishikawa iterations in normed spaces, 5 (2007) · Zbl 1155.47316 [3] Vasilev FP: Numerical Methodes for Solving Extremal Problems. 2nd edition. Nauka, Moscow, Russian; 1988:550. [4] Harder AM, Hicks TL: Stability results for fixed point iteration procedures.Mathematica Japonica 1988,33(5):693-706. · Zbl 0655.47045 [5] Qing, Y.; Rhoades, BE, [InlineEquation not available: see fulltext.]-stability of Picard iteration in metric spaces, 4 (2008) [6] Ilic D, Rakocevic V: Quasi-contraction on a cone metric space.Applied Mathematics Letters 2009,22(5):728-731. 10.1016/j.aml.2008.08.011 · Zbl 1179.54060 · doi:10.1016/j.aml.2008.08.011 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.