A remark on discontinuity at fixed point

被引：70

作者：

Bisht, Ravindra K. ^{[1
]}

Pant, R. P. ^{[2
]}

机构：

[1] NCU, Dept Appl Sci, Gurgaon, India

[2] Kumaun Univ, Dept Math, Naini Tal, India

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 445卷 / 02期

关键词：

Fixed point; phi-contractions; (is an element of- delta) contractions; THEOREMS; MAPPINGS;

D O I：

10.1016/j.jmaa.2016.02.053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we give one more solution to the open question of the existence of contractive definitions which are strong enough to generate a fixed point but which do not force the mapping to be continuous at the fixed point (R. Kannan, 1969 [9]; B.E. Rhoades, 1988 [14]). (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：1239 / 1242

页数：4

共 15 条

[1] ON NONLINEAR CONTRACTIONS [J].