A generalization of Ciric fixed point theorems | Zendy

Poom Kumam | Zendy; Nguyen Van Dũng | Zendy; Kanokwan Sitthithakerngkiet | Zendy

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A generalization of Ciric fixed point theorems

Author(s) -

Poom Kumam,

Nguyen Van Dũng,

Kanokwan Sitthithakerngkiet

Publication year - 2015

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/fil1507549k

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

In this paper, we state and prove a generalization of \'Ciri\'c fixed point theorems in metric space by using a new generalized quasi-contractive map. These theorems extend other well known fundamental metrical fixed point theorems in the literature (Banach \cite{SB1922}, Kannan \cite{RK1968}, Nadler \cite{SBN1969}, Reich \cite{SR1972}, etc.) Moreover, a multi-valued version for generalized quasi-contraction is also established.

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