UNIFYING A MULTITUDE OF COMMON FIXED POINT THEOREMS EMPLOYING AN IMPLICIT RELATION

被引：13

作者：

Ali, Javid ^{[1
]}

Imdad, Mohammad ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

来源：

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2009年 / 24卷 / 01期

关键词：

implicit functions; weakly compatible mappings; coincidence and fixed points;

D O I：

10.4134/CKMS.2009.24.1.041

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A general common fixed point theorem for two pairs of weakly compatible mappings using an implicit function is proved without any continuity requirement which generalizes the result due to Popa [20, Theorem 3]. In process, several previously known results due to Fisher, Kannan, Jeong and Rhoades, Imdad and Ali, Imdad and Khan, Khan, Shahzad and others are derived as special cases. Some related results and illustrative examples are also discussed. As an application of our main result, we prove an existence theorem for the solution of simultaneous Hammerstein type integral equations.

引用

页码：41 / 55

页数：15

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