G-度量空间中一类满足公共(E.A)性质的新型压缩映象的公共不动点定理  

Common Fixed Point Theorems for a Class of New Contraction Mappings Satisfying Common(E.A)Property in G-Metric Space

作　　者：林亚磊 谷峰[1] LIN Yalei;GU Feng(School of Science,Hangzhou Normal University,Hangzhou 311121,China)

机构地区：[1]杭州师范大学理学院,浙江杭州311121

出　　处：《杭州师范大学学报（自然科学版）》2020年第5期503-510,共8页Journal of Hangzhou Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11071169);浙江省自然科学基金项目(Y6110287).

摘　　要：在G-度量空间的框架中,利用自映象的弱相容条件,我们证明了一类满足公共(E.A)性质的新型压缩映象的公共不动点定理,并且新结果中对空间的完备性和映象的连续性均不作要求,因而本质地拓广了当前的一些已知结果.而且还提供了一个支持新结果的实际例子.In the framework of G-metric space,a class of common fixed point theorems for a new type of contractive mapping which satisfies the common(E.A)property is proved by using the weak compatibility condition of self-mapping.In the condition of the theorem,neither the completeness of space nor the continuity of mapping are required,so that some known results are essentially extended.Moreover,a practical example is provided to support the new results.

关 键 词：G-度量空间 弱相容映象 公共(E.A)性质 公共不动点 

分 类 号：O177.91[理学—数学]