A note on tvs-cone metric fixed point theory

被引：20
|
作者：
Radenovic, Stojan [1 ]
Simic, Suzana [2 ]
Cakic, Nenad [3 ]
Golubovic, Zorana [1 ]
机构：
[1] Univ Belgrade, Fac Mech Engn, Beograd 11120, Serbia
[2] Univ Kragujevac, Fac Sci, Kragujevac 34000, Serbia
[3] Univ Belgrade, Fac Elect Engn, Beograd 11120, Serbia
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2011年 / 54卷 / 9-10期
关键词：
Tvs-cone metric; Tvs-cone metric space; Fixed point; Nadler's fixed point theorem; Locally convex space; QUASI-CONTRACTION; SPACES; MAPS;
D O I：
10.1016/j.mcm.2011.05.051
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, the concept of set-valued contraction of Nadler type in the setting of tvs-cone spaces was introduced and a fixed point theorem in the setting of tvs-cone spaces with respect to a solid cone was proved. Obtained results extend and generalize the main results of [S. B. Nadler Jr., Multi-valued contraction mappings, Pacific Journal of Mathematics 30 (1969) 475-488] and [D. Wardowski, On set-valued contractions of Nadler type in cone metric spaces, Applied Mathematics Letters 24 (2011) 275-278]. Two examples are given to illustrate the usability of the results. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2418 / 2422
页数：5
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