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Issue: No. 31 (2018): Part B - Natural Sciences
Section: Natural Sciences Issue (Vietnamese)
DOI: 10.52714/dthu.31.4.2018.571
Date Published: 25/04/2018
Online Published: 25/04/2018
Views 412
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How to Cite
Pham, A. L., & Nguyen, T. H. (2018). On the exsitence and approximation of fixed points of monotone mappings satisfying condition (E) in partially ordered Banach spaces. Dong Thap University Journal of Science, 31, 65-73. https://doi.org/10.52714/dthu.31.4.2018.571

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On the exsitence and approximation of fixed points of monotone mappings satisfying condition (E) in partially ordered Banach spaces

Ai Lam Pham, Trung Hieu Nguyen1
1 Dong Thap University

Main Article Content

Abstract

In this paper, we introduce the notion of a monotone mapping satisfying condition (E) in partially ordered Banach spaces, and establish the exsitence and the approximation of fixed points of such mappings by the Mann iteration process in partially ordered uniformly convex Banach spaces. These results are the generations of the main results in [4, 6, 7]. Also, we provide examples to illustrate the obtained results.

Keywords

Monotone mapping satisfying condition (E), Mann iteration, partially ordered Banach spaces

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

References

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