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fixed-point theorem
(redirected from Fixed point theorem)

   Also found in: Wikipedia 0.01 sec.
fixed-point theorem [¦fikst ′pȯint ‚thir·əm]
(mathematics)
Any theorem, such as the Brouwer theorem or Schauder's fixed-point theorem, which states that a certain type of mapping of a set into itself has at least one fixed point.


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The main tools employed in the analysis are based on the applications of the well known Banach fixed point theorem (see [4, p.
Their topics include contraction mappings, fixed point theorems in partially ordered sets, topological fixed point theorems, variational and quasivariational inequalities in topological vectors spaces and generalized games, best approximations and fixed point theorems for set-valued mappings in topological vector spaces, degree theories for set-valued mappings, and nonexpansive types of mappings and fixed-point theorems in locally convex topological vector spaces.
Abstract In this paper, we consider an intuitionistic fuzzy metric space and prove a common fixed point theorem in this space.
 
 
 
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