STRICT CONTRACTIVE CONDITIONS AND COMMON FIXED POINT THEOREMS WITH APPLICATION

被引：0
|
作者：
Pant, Vyomesh
机构：
来源：
DEMONSTRATIO MATHEMATICA | 2013年 / 46卷 / 02期
关键词：
common fixed points; contractive conditions; conditionally commuting maps; noncompatible maps; property (E.A);
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of the present paper is to obtain common fixed point theorems under a strict contractive condition by assuming minimal commutativity conditions. Our theorems extend the results due to Pant and Pant [4]. In the setting of our results, we also provide pair of mappings which ensures the existence of a common fixed point; however, both the mappings are discontinuous at the common fixed point. We, thus, provide one more answer to the problem of Rhoades [10]. In the last section, we apply our results to solve an eigenvalue problem
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页码：405 / 413
页数：9
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