A Coupled Fixed Point Theorem for Mixed Monotone Mappings on Partial Ordered G-Metric Spaces

被引：1
|
作者：
Lee, Hosoo [1 ]
机构：
[1] Yeungnam Univ, Coll Basic Studies, 280 Daehak Ro, Gyengsan 712749, Gyengbook, South Korea
来源：
KYUNGPOOK MATHEMATICAL JOURNAL | 2014年 / 54卷 / 03期
关键词：
Fixed point; mixed monotone property; G-metric space;
D O I：
10.5666/KMJ.2014.54.3.485
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we establish coupled fixed point theorems for mixed monotone mappings satisfying nonlinear contraction involving a pair of altering distance functions in ordered G-metric spaces. Via presented theorems we extend and generalize the results of Harjani et al. [J. Harjani, B. Lopez and K. Sadarangani, Fixed point theorems for mixed monotone operators and applications to integral equations, Nonlinear Anal. 74 (2011) 1749-1760] and Choudhury and Maity [B.S. Choudhury and P. Maity, Coupled fixed point results in generalized metric spaces. Math. Comput. Model. 54 (2011), 73-79].
引用
收藏
页码：485 / 500
页数：16
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