THE CONVERGENCE OF MODIFIED MANN ITERATIVE SCHEME WITH WEAKLY CONTRACTIVE CONDITION

  • Jittiporn Tangkhawiwetkul Mathematics, Science and Technology, Pibulsongkram Rajabhat University, Phitsanulok.
  • Panyaporn Songnon
Keywords: modified Mann iterative scheme, weakly contractive mapping, common fixed point

Abstract

In this paper, we study the convergence of a sequence, which is modified from Mann iterative scheme, with a weakly contractive mapping condition. The convergence of two sequences which are generalized from the modified Mann iterative scheme are also considered. Furthermore, we show that these sequences converge to a common fixed point. Our results generalize and extend various known results in the literature.

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References

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Published
2018-08-30
How to Cite
Tangkhawiwetkul, J., & Songnon, P. (2018). THE CONVERGENCE OF MODIFIED MANN ITERATIVE SCHEME WITH WEAKLY CONTRACTIVE CONDITION. Life Sciences and Environment Journal, 19(2), 243-250. Retrieved from https://ph01.tci-thaijo.org/index.php/psru/article/view/84789
Section
Research Articles