Fixed-Point Theorems in Complete Gauge Spaces and Applications to Second-Order Nonlinear Initial-Value Problems

被引:11
作者
Cherichi, Meryam [1 ]
Samet, Bessem [2 ]
Vetro, Calogero [3 ]
机构
[1] Fac Sci Tunis, Dept Math, Tunis 2092, Tunisia
[2] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia
[3] Univ Palermo, Dipartimento Matemat & Informat, I-90123 Palermo, Italy
来源
JOURNAL OF FUNCTION SPACES AND APPLICATIONS | 2013年
关键词
MAPS;
D O I
10.1155/2013/293101
中图分类号
学科分类号
摘要
We establish fixed-point results for mappings and cyclic mappings satisfying a generalized contractive condition in a complete gauge space. Our theorems generalize and extend some fixed-point results in the literature. We apply our obtained results to the study of existence and uniqueness of solution to a second-order nonlinear initial-value problem.
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页数:8
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