Weak θ-φ-contraction and discontinuity

被引：19
|
作者：
Zheng, Dingwei [1 ]
Wang, Pei [2 ]
机构：
[1] Guangxi Univ, Coll Math & Informat Sci, Nanning 530004, Guangxi, Peoples R China
[2] Yulin Normal Univ, Sch Math & Informat Sci, Yulin 537000, Guangxi, Peoples R China
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Fixed point; discontinuity; weak theta-phi-contraction; FIXED-POINT THEOREMS; METRIC-SPACES; MAPPINGS;
D O I：
10.22436/jnsa.010.05.04
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce the notion of weak theta-phi-contraction ensuring a convergence of successive approximations but does not force the mapping to be continuous at the fixed point. Thus, we answer one more solution to the open question raised by Rhoades in [B. E. Rhoades, Fixed point theory Appl, Berkeley, CA, (1986), Contemp. Math., Amer. Math. Soc., Providence, RI, 72 (1988), 233- 245]. (C) 2017 All rights reserved.
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页码：2318 / 2323
页数：6
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