A fixed point theorem in convex metric spaces with application

Shih Sen Chang; Chi Kin Chan; Heung Wing Joseph Lee; Jing Ai Liu

A fixed point theorem in convex metric spaces with application

Shih Sen Chang, Chi Kin Chan, Heung Wing Joseph Lee, Jing Ai Liu

Research output: Journal article publication › Journal article › Academic research › peer-review

Abstract

In this paper some new fixed point theorems for mappings satisfying a general weakly contractive condition of integral type in complete metric space and complete convex metric space are proved. As application, we shall utilize the results to study the approximation problem of fixed point in convex metric spaces.

Original language	English
Pages (from-to)	59-68
Number of pages	10
Journal	Panamerican Mathematical Journal
Volume	20
Issue number	3
Publication status	Published - 1 Jul 2010

Keywords

ψ
-weak contraction
Convex metric space
General contractive condition of integral type
Ishikawa type iterative scheme

ASJC Scopus subject areas

General Mathematics

Cite this

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title = "A fixed point theorem in convex metric spaces with application",

abstract = "In this paper some new fixed point theorems for mappings satisfying a general weakly contractive condition of integral type in complete metric space and complete convex metric space are proved. As application, we shall utilize the results to study the approximation problem of fixed point in convex metric spaces.",

keywords = "ψ, -weak contraction, Convex metric space, General contractive condition of integral type, Ishikawa type iterative scheme",

author = "Chang, {Shih Sen} and Chan, {Chi Kin} and Lee, {Heung Wing Joseph} and Liu, {Jing Ai}",

year = "2010",

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T1 - A fixed point theorem in convex metric spaces with application

AU - Chang, Shih Sen

AU - Chan, Chi Kin

AU - Lee, Heung Wing Joseph

AU - Liu, Jing Ai

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Y1 - 2010/7/1

N2 - In this paper some new fixed point theorems for mappings satisfying a general weakly contractive condition of integral type in complete metric space and complete convex metric space are proved. As application, we shall utilize the results to study the approximation problem of fixed point in convex metric spaces.

AB - In this paper some new fixed point theorems for mappings satisfying a general weakly contractive condition of integral type in complete metric space and complete convex metric space are proved. As application, we shall utilize the results to study the approximation problem of fixed point in convex metric spaces.

KW - ψ

KW - -weak contraction

KW - Convex metric space

KW - General contractive condition of integral type

KW - Ishikawa type iterative scheme

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M3 - Journal article

SN - 1064-9735

VL - 20

SP - 59

EP - 68

JO - Panamerican Mathematical Journal

JF - Panamerican Mathematical Journal

IS - 3

ER -

A fixed point theorem in convex metric spaces with application

Abstract

Keywords

ASJC Scopus subject areas

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