FIXED POINT RESULTS FOR GENERALIZED φ-CONTRACTION ON A SET WITH TWO METRICS

被引：0
|
作者：
Petru, Tuende Petra [1 ]
Boriceanu, Monica [1 ]
机构：
[1] Univ Babes Bolyai, Dept Appl Math, Cluj Napoca 400084, Romania
来源：
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2009年 / 33卷 / 02期
关键词：
Set with two metrics; multivalued operator; fixed point; homotopy result; data dependence; MULTIVALUED OPERATORS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to present fixed point theorems for multivalued operators T: X -> P(X), on a nonempty set X with two metrics d and rho, satisfying the following generalized phi-contraction condition: H(rho)(T(x), T(y)) <= phi(M(T)(x, y)), for every x,y is an element of X, where M(T)(x,y) := max{rho(x, y), D(rho)(x, T(x)), D(rho)(y, T(y)), 2(-1)[D(rho)(x, T(y)) + D(rho)(y, T(x))]}.
引用
收藏
页码：315 / 326
页数：12
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