摘要
不动点定理是非线性分析和变分问题研究的重要工具,在非线性方程解的存在性和算法研究中有重要作用.由于方程的条件不同,各种形式不动点的存在性和迭代算法被学者们的广泛关注.在完备锥b-度量空间中,运用迭代方法,研究了在广义Boyd-Wong压缩条件下一类连续映射不动点的存在问题,获得了不动点的存在和唯一性定理.改进了证明方法,推广了相关文献的结果.
The fixed point theorem is an important tool for nonlinear analysis and variational problem research.It plays an important role in the existence of nonlinear equation solutions and algorithm research.Due to the different conditions of the equations,the existence and iterative algorithms of various forms of fixed points,it has been widely concerned by scholars.In the complete cone b-metric space,using the iterative method,the existence of fixed points of continuous mapping under generalized Boyd-Wong compression conditions is studied,and the existence and uniqueness of fixed points are obtained.The method and the results of the relevant literature are promoted.
作者
彭荣
PENG Rong(School of Data Science and Computer,Guangdong Pcizhcng University,Guangzhou 510830,P.R.C.)
出处
《西南民族大学学报（自然科学版）》
CAS
2019年第6期619-624,共6页
Journal of Southwest Minzu University(Natural Science Edition)
基金
广东省自然科学基金资助项目(2018A030313954)
广东省普通高校基础研究重大项目(2017KZDXM038)
广东培正学院重点资助项目(17pzxmzd1)
