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

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  • College of Science,Yanbian University
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

Received date: 2014-07-17

  Online published: 2020-10-30

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. 

Cite this article

PIAO Yong-jie, JIN Zhe-zhi . Common Fixed Points for Mappings with Quasi-Lipschitz Conditions on TVS-valued Cone Metric Spaces[J]. Chinese Quarterly Journal of Mathematics, 2016 , 31(4) : 390 -398 . DOI: 10.13371/j.cnki.chin.q.j.m.2016.04.007

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