Chinese Quarterly Journal of Mathematics ›› 2016, Vol. 31 ›› Issue (4): 390-398.doi: 10.13371/j.cnki.chin.q.j.m.2016.04.007

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Common Fixed Points for Mappings with Quasi-Lipschitz Conditions on TVS-valued Cone Metric Spaces

  

  1. College of Science,Yanbian University
  • Received:2014-07-17 Online:2016-12-30 Published:2020-10-30
  • About author:PIAO Yong-jie(1962-), male(chaoxianzu), native of Jiutai, Jilin, a professor of Yanbian University, Ph.D., engages in nonlinear theory and fixed point theory; JIN Zhe-zhi(1977-), male(chaoxianzu), native of Mudanjiang, Heilongjiang, a lecturer of Yanbian University, Ph.D., engages in financial mathematics
  • Supported by:
    Supported by the National Natural Science Foundation of China(11361064);

Abstract: A new unique common fixed point result for a pair of mappings satisfying certain quasi-Lipschitz type conditions on a topological vector space-valued cone metric space is obtained, and its particular forms and a more general form are given. Our main results generalize and improve some well-known recent results in the literature. 

Key words: TVS-valued cone metric space, quasi-Lipschitz type condition, common fixed point

CLC Number: