On a Statement by I. Aranđelović for Asymptotic Contractions in Appl. Anal. Discrete Math.
Mathematica Moravica, Tome 15 (2011) no. 2.
Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
We prove that main result of asymptotic contractions by I. Aranđelović [Appl. Anal. Disrete Math. 1 (2007), 211-216, Theorem 1, p. 212] has been for the first time proved 21 years ago in Tasković [Fundamental elements of the fixed point theory, ZUNS-1986, Theorem 4, p. 170]. But, the author (and next other authors) this historical fact is to neglect and to ignore.
Mots-clés :
Metric and topological spaces, TCS-convergence, Complete spaces, Contraction, Asymptotic contraction, Nonlinear conditions for fixed points, Kirk’s theorem for asymptotic contractions, Tasković’s characterizations of asymptotic conditions for fixed points
@article{MM3_2011_15_2_a8, author = {Milan Taskovi\'c}, title = {On a {Statement} by {I.} {Aran{\dj}elovi\'c} for {Asymptotic} {Contractions} in {Appl.} {Anal.} {Discrete} {Math.}}, journal = {Mathematica Moravica}, pages = {65 - 68}, publisher = {mathdoc}, volume = {15}, number = {2}, year = {2011}, url = {https://geodesic-test.mathdoc.fr/item/MM3_2011_15_2_a8/} }
Milan Tasković. On a Statement by I. Aranđelović for Asymptotic Contractions in Appl. Anal. Discrete Math.. Mathematica Moravica, Tome 15 (2011) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2011_15_2_a8/