Intersection results for general classes of maps

Donal O’Regan

doi:10.1007/s13226-024-00559-7

Intersection results for general classes of maps

Donal O’Regan

Mathematics

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

Abstract

In this paper we use new coincidence theorems of the author to obtain a variety of Ky Fan matching type theorems for open coverings related to the map or maps. To establish our new matching results, we consider maps which are of KKM or BPK type (these include the Kakutani maps, the acyclic maps and more generally the admissible maps of Gorniewicz) together with maps which generate HLPY type maps.

Original language	English
Journal	Indian Journal of Pure and Applied Mathematics
DOIs	https://doi.org/10.1007/s13226-024-00559-7
Publication status	Accepted/In press - 2024

Keywords

47H10
54H25
Coincidence point
Fixed point
Set–valued map

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10.1007/s13226-024-00559-7

Cite this

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title = "Intersection results for general classes of maps",

abstract = "In this paper we use new coincidence theorems of the author to obtain a variety of Ky Fan matching type theorems for open coverings related to the map or maps. To establish our new matching results, we consider maps which are of KKM or BPK type (these include the Kakutani maps, the acyclic maps and more generally the admissible maps of Gorniewicz) together with maps which generate HLPY type maps.",

keywords = "47H10, 54H25, Coincidence point, Fixed point, Set{\textendash}valued map",

author = "Donal O{\textquoteright}Regan",

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N2 - In this paper we use new coincidence theorems of the author to obtain a variety of Ky Fan matching type theorems for open coverings related to the map or maps. To establish our new matching results, we consider maps which are of KKM or BPK type (these include the Kakutani maps, the acyclic maps and more generally the admissible maps of Gorniewicz) together with maps which generate HLPY type maps.

AB - In this paper we use new coincidence theorems of the author to obtain a variety of Ky Fan matching type theorems for open coverings related to the map or maps. To establish our new matching results, we consider maps which are of KKM or BPK type (these include the Kakutani maps, the acyclic maps and more generally the admissible maps of Gorniewicz) together with maps which generate HLPY type maps.

KW - 47H10

KW - 54H25

KW - Coincidence point

KW - Fixed point

KW - Set–valued map

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DO - 10.1007/s13226-024-00559-7

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SN - 0019-5588

JO - Indian Journal of Pure and Applied Mathematics

JF - Indian Journal of Pure and Applied Mathematics

ER -

Intersection results for general classes of maps

Abstract

Keywords

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