The convergence of Jungck-type iterative schemes for generalized contractive-like operators
2010
scientific article
english
- iteration schemes
- quasi-contractive operators
- weakly compatible maps
- coincidence points
- common fixed point
- schemat iteracyjny
- podstawowy punkt stały
- przestrzeń Banacha
EN We introduce the Jungck-multistep iteration and show that it converges strongly to the unique common fixed point of a pair of weakly compatible generalized contractive-like opera- tors defined on a Banach space. As corollaries, the results show that the Jungck-Mann, Jungck-Ishikawa and Jungck-Noor itera- tions can also be used to approximate the common fixed points of such maps. The results are improvements, generalizations and extensions of the work of Olatinwo and Imoru [13], Olatinwo [14-15]. Consequently, several results in literature are generalized.
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CC BY-NC-ND (attribution - noncommercial - no derivatives)
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