Fixed point theory for α-condensing set valued maps in hyperconvex metric spaces

A. Amini-Harandi; Ali P. Farajzadeh; Donal O'Regan; R. P. Agarwal

Fixed point theory for α-condensing set valued maps in hyperconvex metric spaces

A. Amini-Harandi
, Ali P. Farajzadeh
, Donal O'Regan
, R. P. Agarwal

Mathematics

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

2 Citations (Scopus)

Abstract

In this paper, we first present fixed point theory for continuous condensing set valued nonself maps in hyperconvex metric spaces. Then we establish a fixed point theorem for upper semicontinuous condensing set valued self maps. As an application, we obtain a coincidence point result.

Original language	English
Pages (from-to)	39-46
Number of pages	8
Journal	Communications on Applied Nonlinear Analysis
Volume	15
Issue number	2
Publication status	Published - Apr 2008

Keywords

Coincidence point
Condensing map
Fixed point
Hyperconvex metric space

Cite this

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title = "Fixed point theory for α-condensing set valued maps in hyperconvex metric spaces",

abstract = "In this paper, we first present fixed point theory for continuous condensing set valued nonself maps in hyperconvex metric spaces. Then we establish a fixed point theorem for upper semicontinuous condensing set valued self maps. As an application, we obtain a coincidence point result.",

keywords = "Coincidence point, Condensing map, Fixed point, Hyperconvex metric space",

author = "A. Amini-Harandi and Farajzadeh, \{Ali P.\} and Donal O'Regan and Agarwal, \{R. P.\}",

year = "2008",

month = apr,

language = "English",

volume = "15",

pages = "39--46",

journal = "Communications on Applied Nonlinear Analysis",

issn = "1074-133X",

publisher = "International Publications",

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TY - JOUR

T1 - Fixed point theory for α-condensing set valued maps in hyperconvex metric spaces

AU - Amini-Harandi, A.

AU - Farajzadeh, Ali P.

AU - O'Regan, Donal

AU - Agarwal, R. P.

PY - 2008/4

Y1 - 2008/4

N2 - In this paper, we first present fixed point theory for continuous condensing set valued nonself maps in hyperconvex metric spaces. Then we establish a fixed point theorem for upper semicontinuous condensing set valued self maps. As an application, we obtain a coincidence point result.

AB - In this paper, we first present fixed point theory for continuous condensing set valued nonself maps in hyperconvex metric spaces. Then we establish a fixed point theorem for upper semicontinuous condensing set valued self maps. As an application, we obtain a coincidence point result.

KW - Coincidence point

KW - Condensing map

KW - Fixed point

KW - Hyperconvex metric space

UR - https://www.scopus.com/pages/publications/44349183104

M3 - Article

AN - SCOPUS:44349183104

SN - 1074-133X

VL - 15

SP - 39

EP - 46

JO - Communications on Applied Nonlinear Analysis

JF - Communications on Applied Nonlinear Analysis

IS - 2

ER -

Fixed point theory for α-condensing set valued maps in hyperconvex metric spaces

Abstract

Keywords

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