Nonlinear coupled fixed point theorems in ordered generalized metric spaces with integral type

Fixexd point theory and applications

Wasfi Shatanawi¹  Yeol Je Cho²  Billy E Rhoades⁴  Reza Saadati⁵  Bessem Samet⁶ 

[1] de Tunis, Ecole SupéDepartment of Mathematics Education and RINS, Gyeongsang National University, Chinju, Korea;Department of Mathematics, Hashemite University, Zarqa, Jordan;Department of Mathematics, Indiana University, Bloomington, USA;Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran;Universitérieur des Sciences et Techniques de Tunis, Bab Menara, Tunisie

关键词: ordered set;    coupled coincidence point;    coupled common fixed point;    generalized metric space;    altering distance function;    weakly contractive condition;    contraction of integral type;   

DOI  :  10.1186/1687-1812-2012-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we study coupled coincidence and coupled common fixed point theorems in ordered generalized metric spaces for nonlinear contraction condition related to a pair of altering distance functions. Our results generalize and modify several comparable results in the literature. 2000 MSC: 54H25; 47H10; 54E50.

【 授权许可】

CC BY