Fixed Point Theorems for the Sum of Two Multivalued Mappings and an Application to an Integral Inclusion

Amro Alsheikh Ali; Afif Ben Amar; Donal O’Regan

doi:10.1007/s40840-015-0110-8

Fixed Point Theorems for the Sum of Two Multivalued Mappings and an Application to an Integral Inclusion

Amro Alsheikh Ali
, Afif Ben Amar
, Donal O’Regan

Mathematics

Mathematics University of Sfax
King Abdulaziz University

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

6 Citations (Scopus)

Abstract

In this paper we establish some fixed point results for the sum of two multivalued mappings with weakly sequentially closed graph under weak topology features in a Banach space. An application to illustrate our theory is included.

Original language	English
Pages (from-to)	1307-1320
Number of pages	14
Journal	Bulletin of the Malaysian Mathematical Sciences Society
Volume	40
Issue number	3
DOIs	https://doi.org/10.1007/s40840-015-0110-8
Publication status	Published - 1 Jul 2017

Keywords

Fixed point theorems
Integral inclusion
Measures of weak noncompactness
Multivalued mapping
Weakly condensing
Weakly sequentially closed graph

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10.1007/s40840-015-0110-8

Cite this

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title = "Fixed Point Theorems for the Sum of Two Multivalued Mappings and an Application to an Integral Inclusion",

abstract = "In this paper we establish some fixed point results for the sum of two multivalued mappings with weakly sequentially closed graph under weak topology features in a Banach space. An application to illustrate our theory is included.",

keywords = "Fixed point theorems, Integral inclusion, Measures of weak noncompactness, Multivalued mapping, Weakly condensing, Weakly sequentially closed graph",

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AU - Ali, Amro Alsheikh

AU - Ben Amar, Afif

AU - O’Regan, Donal

PY - 2017/7/1

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N2 - In this paper we establish some fixed point results for the sum of two multivalued mappings with weakly sequentially closed graph under weak topology features in a Banach space. An application to illustrate our theory is included.

AB - In this paper we establish some fixed point results for the sum of two multivalued mappings with weakly sequentially closed graph under weak topology features in a Banach space. An application to illustrate our theory is included.

KW - Fixed point theorems

KW - Integral inclusion

KW - Measures of weak noncompactness

KW - Multivalued mapping

KW - Weakly condensing

KW - Weakly sequentially closed graph

UR - https://www.scopus.com/pages/publications/85021293912

U2 - 10.1007/s40840-015-0110-8

DO - 10.1007/s40840-015-0110-8

M3 - Article

SN - 0126-6705

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JO - Bulletin of the Malaysian Mathematical Sciences Society

JF - Bulletin of the Malaysian Mathematical Sciences Society

IS - 3

ER -

Fixed Point Theorems for the Sum of Two Multivalued Mappings and an Application to an Integral Inclusion

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Keywords

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