On positive fixed points of countably condensing mappings

Yu Qing Chen; Yeol Je Cho; Donal O'Regan

On positive fixed points of countably condensing mappings

Yu Qing Chen
, Yeol Je Cho
, Donal O'Regan

Mathematics

Foshan University
Gyeongsang National University

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

2 Citations (Scopus)

Abstract

In this paper, we study the following equation x = Tx in a cone P of a Banach space X, where T: Ω̄∩P → X is a countably condensing mapping, ω is an open bounded subset of X. Existence results are obtained under suitable boundary conditions, and our results generalize the corresponding results in Petryshyn [16].

Original language	English
Pages (from-to)	519-527
Number of pages	9
Journal	Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Volume	12
Issue number	3-4
Publication status	Published - Jun 2005

Keywords

Countably condensing mapping
Countably k-set contraction
Fixed point
Fixed point index
Quasi-normal cone

Cite this

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title = "On positive fixed points of countably condensing mappings",

abstract = "In this paper, we study the following equation x = Tx in a cone P of a Banach space X, where T: {\=Ω}∩P → X is a countably condensing mapping, ω is an open bounded subset of X. Existence results are obtained under suitable boundary conditions, and our results generalize the corresponding results in Petryshyn [16].",

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AU - Chen, Yu Qing

AU - Cho, Yeol Je

AU - O'Regan, Donal

PY - 2005/6

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N2 - In this paper, we study the following equation x = Tx in a cone P of a Banach space X, where T: Ω̄∩P → X is a countably condensing mapping, ω is an open bounded subset of X. Existence results are obtained under suitable boundary conditions, and our results generalize the corresponding results in Petryshyn [16].

AB - In this paper, we study the following equation x = Tx in a cone P of a Banach space X, where T: Ω̄∩P → X is a countably condensing mapping, ω is an open bounded subset of X. Existence results are obtained under suitable boundary conditions, and our results generalize the corresponding results in Petryshyn [16].

KW - Countably condensing mapping

KW - Countably k-set contraction

KW - Fixed point

KW - Fixed point index

KW - Quasi-normal cone

UR - https://www.scopus.com/pages/publications/18444413554

M3 - Article

SN - 1201-3390

VL - 12

SP - 519

EP - 527

JO - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

JF - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

IS - 3-4

ER -

On positive fixed points of countably condensing mappings

Abstract

Keywords

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