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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 被引量:1

A New Coupled Common Fixed Point Theorem for Square Contractive Mappings in 2-Metric Spaces
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摘要 在2-距离空间的框架下,利用映象对的ω-相容性条件,建立了一类新的平方型压缩条件,讨论了此类映象耦合公共不动点的存在性和唯一性.证明了一个新的耦合公共不动点定理,也提供了一个有效的例子来支持该文的新结果.该文的结果改善了之前文献中的相关结果. 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 w-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 results in the recent literatures.
作者 刘丽亚 谷峰
出处 《应用数学和力学》 CSCD 北大核心 2017年第8期956-966,共11页 Applied Mathematics and Mechanics
基金 国家自然科学基金(11071169) 浙江省自然科学基金(Y6110287)~~
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 2-metric space contractive mapping coupled coincidence point coupled com-mon fixed point mixed g-monotonicity
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