应用数学和力学2017，Vol.38Issue(8)：956-966,11.DOI:10.21656/1000-0887.370261
2-距离空间中平方型压缩映象的一个新的耦合公共不动点定理
A New Coupled Common Fixed Point Theorem for Square Contractive Mappings in 2-Metric Spaces
摘要
Abstract
In the framework of 2-metric spaces,a new class of square contractive conditions were established and the existence and uniqueness of the coupled common fixed point in given conditions were discussed,by means of the ω-compatible condition for the pair of mappings.Then a new coupled common fixed point theorem was proved.Several illustrative examples were also given in support of the new theorem.The work improves the relative resuts in the recent literatures.关键词
2-距离空间/压缩映象/耦合重合点/耦合公共不动点/混合g-单调性Key words
2-metric space/contractive mapping/coupled coincidence point/coupled common fixed point/mixed g-monotonicity分类
数理科学引用本文复制引用
刘丽亚,谷峰..2-距离空间中平方型压缩映象的一个新的耦合公共不动点定理[J].应用数学和力学,2017,38(8):956-966,11.基金项目
The National Natural Science Foundation of China(11071169)国家自然科学基金(11071169) （11071169）
浙江省自然科学基金(Y6110287) （Y6110287）
