Fixed-point theorems for the sum of two operators underω-condensing
✍ Scribed by Fuli Wang
- Book ID
- 120735684
- Publisher
- Springer International Publishing AG
- Year
- 2013
- Tongue
- English
- Weight
- 239 KB
- Volume
- 2013
- Category
- Article
- ISSN
- 1687-1820
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📜 SIMILAR VOLUMES
In this article, we focus our attention on two fixed-point theorems of Krasnoselskii [l] and Dhage [2]. It is shown that some of the hypotheses of these fixed-point theorems are redundent. Our claim is also illustrated with an example.
## Abstract The purpose of this paper is to study the existence of fixed points for the sum of two nonlinear operators in the framework of real Banach spaces. Later on, we give some examples of applications of this type of results (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
In the present paper, we prove some Krasnosel'skii-Leray-Schauder type fixed point theorems for weak topology. Some fixed point theorems for the sum of two weakly sequentially continuous mappings are also presented. Our results extend and improve on ones from several earlier works.