COMMON FIXED POINT THEOREMS FOR MATKOWSKI-TYPE NONLINEAR CONTRACTIONS IN ORDERED METRIC SPACES

被引:0
|
作者
Gubran, Rqeeb [1 ]
Khan, Idrees A. [2 ]
Imdad, Mohammad [1 ]
机构
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
[2] Integral Univ, Dept Math, Lucknow 226026, Uttar Pradesh, India
来源
关键词
comparison function; fixed point; g-monotone mappings; phi-contractions; Matkowski function;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, we prove some existence and uniqueness results for g-increasing mappings under phi-contraction condition in ordered metric spaces wherein phi is a comparison function (often called Matkowski-type nonlinear contraction). Our main results generalize several core results due to Ran and Reurings [25], Nieto and Rodriguez-Lopez [22,23] and Agarwal et.al [1] beside several others. An application and some illustrative examples are furnished to highlight the realized improvements in our results.
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页码:34 / 47
页数:14
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