Fixed point theorems on operator-valued metric space

Zhen Hua Ma; Li Ning Jiang; Qiao Ling Xin

Fixed point theorems on operator-valued metric space

Zhen Hua Ma^*, Li Ning Jiang, Qiao Ling Xin

^*Corresponding author for this work

School of Mathematics and Statistics

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

6 Citations (Scopus)

Abstract

Based on the concept of operator-valued metric spaces, the definitions of operator-valued contraction map and expansive map were introduced, and furthermore, the corresponding fixed point theorems were proven. As an application, the existence and uniqueness of a kind of integral equation of Fredholm type is given.

Original language	English
Pages (from-to)	1078-1080
Number of pages	3
Journal	Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology
Volume	34
Issue number	10
Publication status	Published - 1 Oct 2014

Keywords

Contraction map
Expansive map
Operator-valued metric space

Cite this

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title = "Fixed point theorems on operator-valued metric space",

abstract = "Based on the concept of operator-valued metric spaces, the definitions of operator-valued contraction map and expansive map were introduced, and furthermore, the corresponding fixed point theorems were proven. As an application, the existence and uniqueness of a kind of integral equation of Fredholm type is given.",

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T1 - Fixed point theorems on operator-valued metric space

AU - Ma, Zhen Hua

AU - Jiang, Li Ning

AU - Xin, Qiao Ling

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N2 - Based on the concept of operator-valued metric spaces, the definitions of operator-valued contraction map and expansive map were introduced, and furthermore, the corresponding fixed point theorems were proven. As an application, the existence and uniqueness of a kind of integral equation of Fredholm type is given.

AB - Based on the concept of operator-valued metric spaces, the definitions of operator-valued contraction map and expansive map were introduced, and furthermore, the corresponding fixed point theorems were proven. As an application, the existence and uniqueness of a kind of integral equation of Fredholm type is given.

KW - Contraction map

KW - Expansive map

KW - Operator-valued metric space

UR - https://www.scopus.com/pages/publications/84920071983

M3 - Article

AN - SCOPUS:84920071983

SN - 1001-0645

VL - 34

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JO - Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology

JF - Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology

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Fixed point theorems on operator-valued metric space

Abstract

Keywords

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