Open AccessFixed point theorem for Fw-contractions in complete metric spaces
Author(s) -
Rakesh Batra,
Sachin Vashistha
Publication year - 2013
Publication title -
journal of nonlinear analysis and application
Language(s) - English
Resource type - Journals
ISSN - 2193-3472
DOI - 10.5899/2013/jnaa-00211
Subject(s) - mathematics , fixed point theorem , metric space , metric (unit) , fixed point , point (geometry) , pure mathematics , mathematical economics , mathematical analysis , economics , geometry , operations management
A new type of contractive mapping known as an $F$-contraction has been introduced for a metric space recently in 2012. Many results in the area of fixed point theory have been proved by different authors, using $w$-distance. In this paper we extend and generalize the concept of an $F$-contaction to an $F_w$-contraction and prove a fixed point theorem for an $F_w$-contraction in a complete metric space. Examples are given in support of usability of our results