Remarks on Theorems for Cyclic Quasi-Contractions in Uniformly Convex Banach Spaces
Kragujevac Journal of Mathematics, Tome 40 (2016) no. 2, p. 272
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In this note we show an error in the proof of [1, Theorem 2.3]. Then we give a counterexample to show that theorems for cyclic quasi-contractions in [1] are not true. Also the proofs of theorems for cyclic strongly quasi-contractions in that paper are not true. We also state the revisions with modified conditions for main results in [1].
Classification :
47H10, 54E35 54H25
Keywords: cyclic quasi-contraction, fixed point, uniformly convex Banach space
Keywords: cyclic quasi-contraction, fixed point, uniformly convex Banach space
N. V. Dung; S. Radenović. Remarks on Theorems for Cyclic Quasi-Contractions in Uniformly Convex Banach Spaces. Kragujevac Journal of Mathematics, Tome 40 (2016) no. 2, p. 272 . http://geodesic.mathdoc.fr/item/KJM_2016_40_2_a9/
@article{KJM_2016_40_2_a9,
author = {N. V. Dung and S. Radenovi\'c},
title = {Remarks on {Theorems} for {Cyclic} {Quasi-Contractions} in {Uniformly} {Convex} {Banach} {Spaces}},
journal = {Kragujevac Journal of Mathematics},
pages = {272 },
year = {2016},
volume = {40},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2016_40_2_a9/}
}