Fixed point theorems for condensing multivalued mappings under weak topology features

Ravi P. Agarwal; Donal O'Regan; Mohamed Aziz Taoudi

Fixed point theorems for condensing multivalued mappings under weak topology features

Ravi P. Agarwal
, Donal O'Regan
, Mohamed Aziz Taoudi

Mathematics

Department of Mathematical Sciences
King Fahd University of Petroleum and Minerals
Université Cadi Ayyad
Centre Universitaire Kalaa des Sraghnas

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

10 Citations (Scopus)

Abstract

We present new fixed point theorems for weakly condensing multivalued maps with weakly sequentially closed graph. Our fixed point results are obtained under Sadovskii's, Leray-Schauder's and Furi-Pera's type conditions.

Original language	English
Pages (from-to)	247-254
Number of pages	8
Journal	Fixed Point Theory
Volume	12
Issue number	2
Publication status	Published - 2011

Keywords

Krasnosel'skii's fixed point theorem
Leray-Schauder's fixed point theorem
Measure of weak noncompactness
Multivalued maps
Sadovskii's fixed point theorem
Weakly condensing

Cite this

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title = "Fixed point theorems for condensing multivalued mappings under weak topology features",

abstract = "We present new fixed point theorems for weakly condensing multivalued maps with weakly sequentially closed graph. Our fixed point results are obtained under Sadovskii's, Leray-Schauder's and Furi-Pera's type conditions.",

keywords = "Krasnosel'skii's fixed point theorem, Leray-Schauder's fixed point theorem, Measure of weak noncompactness, Multivalued maps, Sadovskii's fixed point theorem, Weakly condensing",

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year = "2011",

language = "English",

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journal = "Fixed Point Theory",

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T1 - Fixed point theorems for condensing multivalued mappings under weak topology features

AU - Agarwal, Ravi P.

AU - O'Regan, Donal

AU - Taoudi, Mohamed Aziz

PY - 2011

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N2 - We present new fixed point theorems for weakly condensing multivalued maps with weakly sequentially closed graph. Our fixed point results are obtained under Sadovskii's, Leray-Schauder's and Furi-Pera's type conditions.

AB - We present new fixed point theorems for weakly condensing multivalued maps with weakly sequentially closed graph. Our fixed point results are obtained under Sadovskii's, Leray-Schauder's and Furi-Pera's type conditions.

KW - Krasnosel'skii's fixed point theorem

KW - Leray-Schauder's fixed point theorem

KW - Measure of weak noncompactness

KW - Multivalued maps

KW - Sadovskii's fixed point theorem

KW - Weakly condensing

UR - https://www.scopus.com/pages/publications/80055068246

M3 - Article

SN - 1583-5022

VL - 12

SP - 247

EP - 254

JO - Fixed Point Theory

JF - Fixed Point Theory

IS - 2

ER -

Fixed point theorems for condensing multivalued mappings under weak topology features

Abstract

Keywords

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