Common Fixed Point Theorems for Weakly Compatible Maps Satisfying Integral Type Contraction in G-Metric Spaces

被引:0
作者
Kumar, Narinder [1 ]
Kumar, Manoj [2 ]
Ashish [2 ]
机构
[1] Baba Mastnath Univ, Dept Math, Rohtak 124021, Haryana, India
[2] Govt Coll, Dept Math, Mahendergarh 123024, Haryana, India
来源
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS | 2023年 / 14卷 / 01期
关键词
Fixed point; G-metric space; Coincidence point; Weakly compatible maps; E; A property; (CLRg) property;
D O I
10.26713/cma.v14i1.1917
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The main purpose of this manuscript is to prove a common fixed point theorem for two weakly compatible maps satisfying the following integral type contraction in G-metric space: � G(9'x,9'y,9'z) � L(x,y,z) & phi;(t)dt & LE; & alpha; 0 0 & phi;(t)dt, for all x, y, z & ISIN; X, where L(x, y, z) = max{G(gx, g y, gz),G(gx,9'x,9'x),G(gx,9'y,9y),G(gy,9'y,9y), G(g y,9'x,9'x),G(gz,9'z,9'z), G(gz,9'x,9'x), G(gz,9'y,9'y)}. Also, we have proved common fixed point theorems for the above mentioned weakly compatible self-mappings along with E.A property and (CLRg) property.
引用
收藏
页码:21 / 36
页数:16
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