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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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An extension of a fixed point theorem

Mathematics Seminar Notes, 1977
Meade, B. A., Singh, S. P.
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A fixed-point theorem

Mathematical Systems Theory, 1967
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A Fixed Point Theorem

The Annals of Mathematics, 1950
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A class of fixed point theorems

Mathematics Seminar Notes, 1979
Ray, Barada K., Rhoades, B. E.
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Common Fixed Point Theorems for Two Mappings in Complete b-Metric Spaces

Fractal and Fractional, 2022
Zhao Yanfeng, Lili Chen, Xin Xia
exaly  

Several Fixed Point Theorems in Convex b-Metric Spaces and Applications

Mathematics, 2020
Zhao Yanfeng, Lili Chen, Chaobo Li
exaly  

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