关系理论在f -度量空间中的收缩结果

Journal of Nonlinear Sciences and Applications Pub Date : 2019-01-11 DOI:10.22436/JNSA.012.05.06

L. Alnaser, Durdana Lateef, Hoda A. Fouad, Jamshaid Ahmad

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引用次数: 28

摘要

Jleli和Samet在[M]。朱立强，陈志强，陈志强，等。[j]， 20(2018)， 20页]引入了一种新的度量空间，称为f -度量空间。他们在这个广义度量空间中提出了巴拿赫收缩原理的一个新版本。本文的目的是定义f -度量空间中的关系论收缩，并证明一些广义不动点定理。我们的结果扩展、推广和统一了文献中几个已知的结果。

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Relation theoretic contraction results in F-metric spaces

Jleli and Samet in [M. Jleli, B. Samet, J. Fixed Point Theory Appl., 20 (2018), 20 pages] introduced a new metric space named as F-metric space. They presented a new version of the Banach contraction principle in the context of this generalized metric spaces. The aim of this article is to define relation theoretic contraction and prove some generalized fixed point theorems in F-metric spaces. Our results extend, generalize, and unify several known results in the literature.

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来源期刊

Journal of Nonlinear Sciences and Applications MATHEMATICS, APPLIED-MATHEMATICS

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期刊介绍： The Journal of Nonlinear Science and Applications (JNSA) (print: ISSN 2008-1898 online: ISSN 2008-1901) is an international journal which provides very fast publication of original research papers in the fields of nonlinear analysis. Journal of Nonlinear Science and Applications is a journal that aims to unite and stimulate mathematical research community. It publishes original research papers and survey articles on all areas of nonlinear analysis and theoretical applied nonlinear analysis. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics. Manuscripts are invited from academicians, research students, and scientists for publication consideration. Papers are accepted for editorial consideration through online submission with the understanding that they have not been published, submitted or accepted for publication elsewhere.