Nonlinear generalized contractions on Menger PM spaces | Zendy

Nataša A. Babačev | Zendy

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Nonlinear generalized contractions on Menger PM spaces

Author(s) -

Nataša A. Babačev

Publication year - 2012

Publication title -

applicable analysis and discrete mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.69

H-Index - 26

eISSN - 2406-100X

pISSN - 1452-8630

DOI - 10.2298/aadm120526012b

Subject(s) - mathematics , fixed point theorem , nonlinear system , probabilistic logic , contraction (grammar) , type (biology) , pure mathematics , discrete mathematics , mathematical analysis , calculus (dental) , medicine , ecology , statistics , physics , dentistry , quantum mechanics , biology

This paper presents a fixed point theorem for a self-mapping defined on probabilistic Menger spaces satisfying nonlinear generalized contractive type conditions. The theorem is an improvement of a result presented by B.S. Choudhury, K. Das: A new contraction principle in Menger spaces, Acta Math. Sin. (Engl. Ser.), 24 (2008), 1379–1386. This is illustrated with an example

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