Multi-valued F-contractions and the solutions of certain functional and integral equations | Zendy

Margherita Sgroi | Zendy; Calogero Vetro | Zendy

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Multi-valued F-contractions and the solutions of certain functional and integral equations

Author(s) -

Margherita Sgroi,

Calogero Vetro

Publication year - 2013

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1307259s

Subject(s) - mathematics , contraction principle , fixed point theorem , contraction (grammar) , metric space , fixed point , banach space , pure mathematics , mathematical analysis , discrete mathematics , medicine

Wardowski [Fixed Point Theory Appl., 2012:94] introduced a new concept of contraction and proved a fixed point theorem which generalizes Banach contraction principle. Following this direction of research, we will present some fixed point results for closed multi-valued F-contractions or multi-valued mappings which satisfy an F-contractive condition of Hardy-Rogers-type, in the setting of complete metric spaces or complete ordered metric spaces. An example and two applications, for the solution of certain functional and integral equations, are given to illustrate the usability of the obtained results

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