Results 51 to 60 of about 314,320 (176)
Fixed-Point Theorems for Fuzzy Mappings
Since the 1970s and 1980s, significant contributions have been made by Weiss, Butnariu, Heilpern, Chitra, Subrahmanyam, and others, extending fixed-point theorems to fuzzy mappings and topological spaces.
Allan Edley Ramos de Andrade +1 more
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Some asymptotic fixed point theorems [PDF]
By an asymptotic fixed point theorem we mean a theorem in functional analysis in which the existence of fixed points of a map f f is established with the aid of assumptions on the iterates f n {f^n} of f f .
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Fixed Point Theory of Weak Contractions in Partially Ordered Metric Spaces
We prove two new fixed point theorems in the framework of partially ordered metric spaces. Our results generalize and improve many recent fixed point theorems in the literature.
Chi-Ming Chen +2 more
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The authors prove fixed point theorems for single-valued and multi-valued mappings satisfying a rational inequality. The results are of the following type: Let \(T: X\to X\) be an orbitally continuous mapping on a metric space such that \[ (i)\quad d(Tx,Ty)
Khan, M. S., Swaleh, M., Imdad, M.
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A Universal Approach to Self-Referential Paradoxes, Incompleteness and Fixed Points
Following F. William Lawvere, we show that many self-referential paradoxes, incompleteness theorems and fixed point theorems fall out of the same simple scheme.
Yanofsky, Noson S.
core
Fixed points, intersection theorems, variational inequalities, and equilibrium theorems
From a fixed point theorem for compact acyclic maps defined on admissible convex sets in the sense of Klee, we first deduce collectively fixed point theorems, intersection theorems for sets with convex sections, and quasi-equilibrium theorems.
Sehie Park
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Handel’s fixed point theorem revisited [PDF]
AbstractMichael Handel proved in [A fixed-point theorem for planar homeomorphisms. Topology38 (1999), 235–264] the existence of a fixed point for an orientation-preserving homeomorphism of the open unit disk that can be extended to the closed disk, provided that it has points whose orbits form an oriented cycle of links at infinity.
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Common fixed point theorems for compatible mappings
By using a compatibility condition due to Jungck we establish some common fixed point theorems for four mappings on complete and compact metric spaces These results also generalize a theorem of Sharma and Sahu.
Kenan Taş +2 more
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Extended Fuzzy Metrics and Fixed Point Theorems
In this paper, we study those fuzzy metrics M on X, in the George and Veeramani’s sense, such that ⋀ t > 0 M ( x , y , t ) > 0 . The continuous extension M 0 of M to X 2 × 0 , + ∞ is called extended
Valentín Gregori +2 more
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Fixed Point Theorems for Asymptotically Contractive Multimappings
We present fixed point theorems for a nonexpansive set-valued mapping from a closed convex subset of a reflexive Banach space into itself under some asymptotic contraction assumptions.
M. Djedidi, K. Nachi
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