On Kirk’s Fixed Point Main Theorem for Asymptotic Contractions
Mathematica Moravica, Tome 12 (2008) 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 Kirk [J. Math. Anal. Appl. 277 (2003), 645-650, Theorem 2.1, p. 647]
has been for the first time proved 17 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
@article{MM3_2008_12_2_a5, author = {Milan Taskovi\'c}, title = {On {Kirk{\textquoteright}s} {Fixed} {Point} {Main} {Theorem} for {Asymptotic} {Contractions}}, journal = {Mathematica Moravica}, pages = {45 - 49}, publisher = {mathdoc}, volume = {12}, number = {2}, year = {2008}, url = {https://geodesic-test.mathdoc.fr/item/MM3_2008_12_2_a5/} }
Milan Tasković. On Kirk’s Fixed Point Main Theorem for Asymptotic Contractions. Mathematica Moravica, Tome 12 (2008) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2008_12_2_a5/