摘要
在完备b-度量空间的框架下,利用自映像对Φ-弱交换的条件,讨论了一类新的压缩型映像公共不动点的存在性和唯一性问题,获得了一个新的公共不动点定理,所得结果是b-度量空间中公共不动点理论的进一步发展和完善.
In the framework of complete b-metric space, by using the Ф-weak commuting condition of self-mapping pairs, the existence and uniqueness of common fixed point for a class of new contractive mappings was discussed. A new common fixed point theorem is obtained. The result further developed and improved the common fixed point theories in b-metric space.
出处
《杭州师范大学学报(自然科学版)》
CAS
2017年第2期181-186,共6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)