On some nonself mappings

Lj B. Ćirić; J. S. Ume; M. S. Khan; H. K. Pathak

doi:10.1002/mana.200310028

On some nonself mappings

Lj B. Ćirić^*, J. S. Ume, M. S. Khan, H. K. Pathak

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

24 Citations (Scopus)

Abstract

Let X be a Banach space, let K be a non-empty closed subset of X and let T : K →X be a non-self mapping. The main result of this paper is that if T satisfies the contractive-type condition (1.1) below and maps ∂K (∂K the boundary of K) into K, then T has a unique fixed point in K.

Original language	English
Pages (from-to)	28-33
Number of pages	6
Journal	Mathematische Nachrichten
Volume	251
DOIs	https://doi.org/10.1002/mana.200310028
Publication status	Published - 2003
Externally published	Yes

Keywords

Banach space
Fixed point
Nonself-mapping

ASJC Scopus subject areas

General Mathematics

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10.1002/mana.200310028

Cite this

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title = "On some nonself mappings",

abstract = "Let X be a Banach space, let K be a non-empty closed subset of X and let T : K →X be a non-self mapping. The main result of this paper is that if T satisfies the contractive-type condition (1.1) below and maps ∂K (∂K the boundary of K) into K, then T has a unique fixed point in K.",

keywords = "Banach space, Fixed point, Nonself-mapping",

author = "{\'C}iri{\'c}, {Lj B.} and Ume, {J. S.} and Khan, {M. S.} and Pathak, {H. K.}",

year = "2003",

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journal = "Mathematische Nachrichten",

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T1 - On some nonself mappings

AU - Ćirić, Lj B.

AU - Ume, J. S.

AU - Khan, M. S.

AU - Pathak, H. K.

PY - 2003

Y1 - 2003

N2 - Let X be a Banach space, let K be a non-empty closed subset of X and let T : K →X be a non-self mapping. The main result of this paper is that if T satisfies the contractive-type condition (1.1) below and maps ∂K (∂K the boundary of K) into K, then T has a unique fixed point in K.

AB - Let X be a Banach space, let K be a non-empty closed subset of X and let T : K →X be a non-self mapping. The main result of this paper is that if T satisfies the contractive-type condition (1.1) below and maps ∂K (∂K the boundary of K) into K, then T has a unique fixed point in K.

KW - Banach space

KW - Fixed point

KW - Nonself-mapping

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UR - http://www.scopus.com/inward/citedby.url?scp=0037232808&partnerID=8YFLogxK

U2 - 10.1002/mana.200310028

DO - 10.1002/mana.200310028

M3 - Article

AN - SCOPUS:0037232808

SN - 0025-584X

VL - 251

SP - 28

EP - 33

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

ER -

On some nonself mappings

Abstract

Keywords

ASJC Scopus subject areas

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