FIXED POINT THEOREMS FOR LOCAL ALMOST CONTRACTIONS
被引:1
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作者:
Zakany, Monika
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机构:
North Univ Baia Mare, Dept Math & Computat Sci, Str Victoriei 76, Baia Mare 430122, RomaniaNorth Univ Baia Mare, Dept Math & Computat Sci, Str Victoriei 76, Baia Mare 430122, Romania
Zakany, Monika
[1
]
机构:
[1] North Univ Baia Mare, Dept Math & Computat Sci, Str Victoriei 76, Baia Mare 430122, Romania
almost local contraction;
coefficient of contraction;
fixed-point theorem;
local contractions;
D O I:
10.18514/MMN.2017.1905
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
This paper introduces a new class of contraction: the almost local contractions. Then, we prove the existence and uniqueness of a fixed-point for local almost contractions in two cases: with constant and variable coefficients of contraction.
机构:
Department of Mathematics, Faculty of Science and Arts, Kirikkale University, Yahsihan, KirikkaleDepartment of Mathematics, Faculty of Science and Arts, Kirikkale University, Yahsihan, Kirikkale
Altun I.
Sadarangani K.
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机构:
Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, Las Palmas de Gran CanariaDepartment of Mathematics, Faculty of Science and Arts, Kirikkale University, Yahsihan, Kirikkale
机构:
North Univ Baia Mare, Dept Math & Comp Sci, Victoriei 76, Baia Mare 430072, RomaniaNorth Univ Baia Mare, Dept Math & Comp Sci, Victoriei 76, Baia Mare 430072, Romania
Berinde, Vasile
Pacurar, Madalina
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机构:
Univ Babes Bolyai, Fac Econ & Bussiness Adm, Dept Stat Anal Forecast & Math, Cluj Napoca 400591, RomaniaNorth Univ Baia Mare, Dept Math & Comp Sci, Victoriei 76, Baia Mare 430072, Romania