Results 271 to 280 of about 5,787,725 (306)

On Brouwer's fixed point theorem

Topology Proceedings, 2022
Summary: It is shown by Klaas Pieter Hart, Jan van Mill, and Roman Pol [\textit{K. P. Hart} et al., Topol. Proc. 25(Summer), 179--206 (2000; Zbl 1027.54051)] that Brouwer's fixed point theorem can be reduced to its 3-dimensional case by using the hyperspace of a 2-dimensional hereditarily indecomposable continuum.
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Subrahmanyam’s fixed point theorem

Nonlinear Analysis: Theory, Methods & Applications, 2009
In this paper, a sufficient and necessary condition for the convergence of the sequence of successive \(\{T^n x\}\) approximations to a fixed point of self mapping \(T\) on a complete metric space \((X, d)\) is given. Some equivalent conditions for the convergence of the sequence of successive \(\{T^n x\}\) approximations to a unique fixed point of ...
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A Common Fixed Point Theorem with Applications

Journal of Optimization Theory and Applications, 2013
Let \(X\) be a nonempty compact convex subset of a locally convex Hausdorff topological vector space. The main result is that a family \(\{T_i: X\rightrightarrows X\}_{i\in I}\) of closed set-valued mappings with nonempty convex values has a common fixed point if, for each nonempty finite subset \(J\) of the index set \(I\), the mapping \(S_J: X ...
Ravi P. Agarwal, Mircea Balaj, Donal O'Regan   +2 more
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A Remark on the Caristi’s Fixed Point Theorem and the Brouwer Fixed Point Theorem

2020
It is well-known that a partial order induced from a lower semi-continuous map gives us a clear picture of a proof of the Caristi’s fixed point theorem. The proof utilized Zorn’s lemma to guarantee the existence of a minimal element which turns out to be a desired fixed point.
S. Dhompongsa, P. Kumam
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A theorem on fixed point

A contractive type fixed point theorem for a mapping \(f: X\times X\to X\), \(X\) a compact metric space, is proved.
Bhola, P. K., Sharma, P. L.
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Some generalizations of fixed point theorems and common fixed point theorems

Journal of Fixed Point Theory and Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalisation of a fixed point theorem

1985
The following fixed point theorem has been proved in [\textit{J. Achari} and \textit{B. K. Lahiri}, Riv. Mat. Univ. Parma, IV. Ser. 6, 161-165 (1980; Zbl 0463.47038)]. Theorem: Let \(X\) be a reflexive Banach space and \(K\) be a non-empty closed convex bounded subset of \(X\).
Tiwary, Kalishankar, Lahiri, B. K.
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A Fixed Point Theorem

The Annals of Mathematics, 1950
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A fixed-point theorem

Mathematical Systems Theory, 1967
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A class of fixed point theorems

Mathematics Seminar Notes, 1979
Ray, Barada K., Rhoades, B. E.
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