Fixed point theorems for the sum of two weakly sequentially continuous mappings

Donal O'Regan; Mohamed Aziz Taoudi

doi:10.1016/j.na.2010.03.009

Fixed point theorems for the sum of two weakly sequentially continuous mappings

Donal O'Regan, Mohamed Aziz Taoudi

Mathematics

Gabes University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

24 Citations (Scopus)

Abstract

In the present paper, we prove some Krasnosel'skiiLeraySchauder 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.

Original language	English
Pages (from-to)	283-289
Number of pages	7
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	73
Issue number	2
DOIs	https://doi.org/10.1016/j.na.2010.03.009
Publication status	Published - 15 Jul 2010

Keywords

Krasnosel'skii's fixed point theorem
LeraySchauder fixed point theorem
Measure of weak noncompactness

Authors (Note for portal: view the doc link for the full list of authors)

Authors
O'Regan, D;Taoudi, MA

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10.1016/j.na.2010.03.009

Cite this

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title = "Fixed point theorems for the sum of two weakly sequentially continuous mappings",

abstract = "In the present paper, we prove some Krasnosel'skiiLeraySchauder 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.",

keywords = "Krasnosel'skii's fixed point theorem, LeraySchauder fixed point theorem, Measure of weak noncompactness",

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AU - Taoudi, Mohamed Aziz

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N2 - In the present paper, we prove some Krasnosel'skiiLeraySchauder 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.

AB - In the present paper, we prove some Krasnosel'skiiLeraySchauder 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.

KW - Krasnosel'skii's fixed point theorem

KW - LeraySchauder fixed point theorem

KW - Measure of weak noncompactness

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DO - 10.1016/j.na.2010.03.009

M3 - Article

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JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 2

ER -

Fixed point theorems for the sum of two weakly sequentially continuous mappings

Abstract

Keywords

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