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.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 results in the recent literatures.
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