Stability of Jungck-type iterative procedures. (English) Zbl 1117.26005

Singh, S. L.; Bhatnagar, Charu; Mishra, S. N.

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)

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