FIXED POINT THEOREMS FOR α-SET-VALUED QUASI-CONTRACTIONS IN b-METRIC SPACES

被引：0

作者：

Paesano, Daniela ^{[1
]}

Vetro, Pasquale ^{[1
]}

机构：

[1] Univ Palermo, Dipartimento Matemat & Informat, I-90123 Palermo, Italy

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2015年 / 16卷 / 04期

关键词：

alpha-set-valued contractions; alpha-set-valued quasi-contractions; fixed points; b-metric spaces; ordered b-metric spaces; PARTIALLY ORDERED SETS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, Samet et al. [B. Samet, C. Vetro and P. Vetro, Fixed point theorems for alpha-psi-contractive type mappings, Nonlinear Anal., 75 (2012), 2154-2165] introduced the notion of alpha-psi-contractive mappings and established some fixed point results in the setting of complete metric spaces. In this paper, we introduce the notions of alpha-set-valued contraction and alpha-set-valued quasi-contraction and we give some fixed point theorems for such classes of mappings in the setting of b-metric spaces and ordered b-metric spaces. The presented theorems extend, unify and generalize several well-known comparable results in the existing literature.

引用

页码：685 / 696

页数：12

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