Fixed point (mathematics)

Known as: Fixed point, Pre-fixpoint, Attracting fixed point 
In mathematics, a fixed point (sometimes shortened to fixpoint, also known as an invariant point) of a function is an element of the function's… (More)
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Papers overview

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Highly Cited
2013
Highly Cited
2013
In this paper, we generalize and prove common fixed point theorems of generalized contractive maps in complete cone metric spaces… (More)
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Highly Cited
2011
Highly Cited
2011
There are a lot of fixed and common fixed point results in different types of spaces. For example, metric spaces, fuzzy metric… (More)
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Highly Cited
2010
Highly Cited
2010
Let K be a subset of a Banach space X. A mapping F.K-+KÍ& said to be asymptotically nonexpansive if there exists a sequence {k… (More)
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Highly Cited
2009
Highly Cited
2009
The study of metric fixed point theory has been researched extensively in the past decades, since fixed point theory plays a… (More)
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Highly Cited
2009
Highly Cited
2009
Huang and Zhang [L.-G. Haung, X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl… (More)
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Highly Cited
2006
Highly Cited
2006
  • Servet Kutukcu
  • 2006
In the present work, we prove a fixed point theorem in Menger spaces through weak compatibility. Mathematics Subject… (More)
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Highly Cited
2006
Highly Cited
2006
The aim of this paper is to obtain new common fixed point theorems under strict contractive conditions for three and four maps… (More)
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Highly Cited
2004
Highly Cited
2004
An analogue of Banach’s fixed point theorem in partially ordered sets is proved in this paper, and several applications to linear… (More)
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Highly Cited
1999
Highly Cited
1999
Let K be a compact convex subset of a real Hilbert space, H; T : K → K a continuous pseudocontractive map. Let {an}, {bn}, {cn… (More)
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Highly Cited
1979
Highly Cited
1979
Let F be a monotone operator on the complete lattice L into itself. Tarski's lattice theoretical fixed point theorem states that… (More)
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