Singh, S. L.; Bhatnagar, Charu; Mishra, S. N. Stability of Jungck-type iterative procedures. (English) Zbl 1117.26005 Int. J. Math. Math. Sci. 2005, No. 19, 3035-3043 (2005). The stability of Jungck(-Mann) iterative procedure on metric spaces is studied. The main theorems generalize and unify results by A. M. Harder and T. L. Hicks [Math. Jap. 33, No. 5, 687–692 (1988; Zbl 0655.47046) and ibid. 33, No. 5, 693–706 (1988; Zbl 0655.47045)], and by B. E. Rhoades [Indian J. Pure Appl. Math. 21, No. 1, 1–9 (1990; Zbl 0692.54027) and ibid. 24, No. 11, 691–703 (1993; Zbl 0794.54048)]. Reviewer: Petra Sindelarova (Praha) Cited in 5 ReviewsCited in 27 Documents MSC: 26A18 Iteration of real functions in one variable 54H25 Fixed-point and coincidence theorems (topological aspects) 54H20 Topological dynamics (MSC2010) 39B12 Iteration theory, iterative and composite equations Keywords:Jungck iteration Citations:Zbl 0655.47046; Zbl 0655.47045; Zbl 0794.54048; Zbl 0692.54027 PDF BibTeX XML Cite \textit{S. L. Singh} et al., Int. J. Math. Math. Sci. 2005, No. 19, 3035--3043 (2005; Zbl 1117.26005) Full Text: DOI EuDML OpenURL