Fixed points of multivalued nonlinear F-contractions on complete metric spaces | Zendy

İshak Altun | Zendy; Gülhan Mınak | Zendy; Murat Olgun | Zendy

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Fixed points of multivalued nonlinear F-contractions on complete metric spaces

Author(s) -

İshak Altun,

Gülhan Mınak,

Murat Olgun

Publication year - 2016

Publication title -

nonlinear analysis modelling and control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.734

H-Index - 32

eISSN - 2335-8963

pISSN - 1392-5113

DOI - 10.15388/na.2016.2.4

Subject(s) - mathematics , fixed point theorem , fixed point , metric space , generalization , contraction (grammar) , nonlinear system , pure mathematics , discrete mathematics , mathematical analysis , physics , medicine , quantum mechanics

We introduce a new concept for multivalued maps, also called multivalued nonlinear F-contraction, and give a fixed point result. Our result is a proper generalization of some recent fixed point theorems including the famous theorem of Klim and Wardowski [D. Klim, D. Wardowski, Fixed point theorems for set-valued contractions in complete metric spaces, J. Math. Anal. Appl., 334(1):132–139, 2007].

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