Coupled g-coincidence point theorems for a generalized compatible pair in complete metric spaces

被引：1
|
作者：
Nan, Narawadee Na [1 ]
Charoensawan, Phakdi [1 ]
机构：
[1] Chiang Mai Univ, Fac Sci, Dept Math, Chiang Mai 50200, Thailand
来源：
FIXED POINT THEORY AND APPLICATIONS | 2014年
关键词：
coupled fixed point; coupled coincidence point; coupled g-coincidence point; H-g-increasing; generalized compatible; invariant set; closed set; mixed g-monotone; partially ordered set; PARTIALLY ORDERED SETS; CONTRACTIVE TYPE MAPPINGS; MIXED MONOTONE MAPPINGS; FIXED-POINT; NONLINEAR CONTRACTIONS;
D O I：
10.1186/1687-1812-2014-201
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we give the notions of coupled g-coincidence point and H-g-increasing property of F for mappings F, H : X x X -> X and g : X -> X and prove the existence and uniqueness of a coupled g-coincidence point theorem for mappings F, H : X x X -> X and g : X -> X with phi-contraction mappings in complete metric spaces without the H-g-increasing property of F and the mixed monotone property of G. Further, we apply our results to the existence and uniqueness of a coupled g-coincidence point of the given mappings with the H-g-increasing property of F and the mixed monotone property of H in partially ordered metric spaces.
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页数：22
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