Results 111 to 120 of about 2,032 (177)

A fixed point theorem for contractive mappings that characterizes metric completeness [PDF]

open access: yesarXiv, 2012
Inspired by the work of Suzuki in [Proc. Amer. Math. Soc. 136 (2008), 1861--1869] we prove a fixed point theorem for contractive mappings that generalizes a theorem of Geraghty in [Proc. Amer. Math. Soc., 40 (1973), 604--608] and characterizes metric completeness.
arxiv  

Common fixed points for Banach-Caristi contractive pairs [PDF]

open access: yesarXiv, 2013
Further extensions are given for the common fixed point statement in Dien [J. Math. Anal. Appl., 187 (1994), 76-90], involving Banach-Caristi contractive pairs.
arxiv  

Mixed monotone-generalized contractions in partially ordered probabilistic metric spaces

open access: yesFixed Point Theory and Applications, 2011
In this article, a new concept of mixed monotone-generalized contraction in partially ordered probabilistic metric spaces is introduced, and some coupled coincidence and coupled fixed point theorems are proved.
Agarwal Ravi   +2 more
doaj  

Common fixed points for $ψ-(α,β, m)$-contraction pairs [PDF]

open access: yesarXiv, 2013
In this paper we establish some common fixed point theorem for a new class of pair of contractions mappings, called $\psi-(\alpha,\beta, m)$-contraction pairs, which we will assume occasionally weakly compatible and satisfying the property (E.A.).
arxiv  

Coincidence and fixed point results for generalized weak contractions in the sense of Berinde on partial metric spaces

open access: yes, 2013
In this paper, we introduce the notion of a generalized (ϕ,L)-weak contraction and we prove some common fixed point results for self-mappings T and S and some fixed point results for a single mapping T by using a (c)-comparison function and a comparison ...
W. Shatanawi, M. Postolache
semanticscholar   +1 more source

The approximation to a fixed point [PDF]

open access: yesarXiv, 2013
In a spherically complete ultrametric space, a strictly contracting mapping has a fixed point. We indicate in this paper how this fixed point can either be reached or approximated.
arxiv  

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