Search for zeros of functionals, fixed points, and mappings coincidence in quasi-metric spaces
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2019), pp. 14-22
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The cascade search principle for zeros of $(\alpha,\beta)$-search functionals and consequent fixed point and coincidence theorems are proved for collections of single-valued and set-valued mappings of $(b_1,b_2)$-quasimetric spaces. These results are extensions of some previous author's results in metric spaces. In particular, a generalization is obtained for some recent result on coincidences of a covering mapping and a Lipshitzian mappings of $(b_1,b_2)$-quasimetric spaces.
@article{VMUMM_2019_6_a2,
author = {T. N. Fomenko},
title = {Search for zeros of functionals, fixed points, and mappings coincidence in quasi-metric spaces},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {14--22},
publisher = {mathdoc},
number = {6},
year = {2019},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2019_6_a2/}
}
TY - JOUR AU - T. N. Fomenko TI - Search for zeros of functionals, fixed points, and mappings coincidence in quasi-metric spaces JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 2019 SP - 14 EP - 22 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMUMM_2019_6_a2/ LA - ru ID - VMUMM_2019_6_a2 ER -
%0 Journal Article %A T. N. Fomenko %T Search for zeros of functionals, fixed points, and mappings coincidence in quasi-metric spaces %J Vestnik Moskovskogo universiteta. Matematika, mehanika %D 2019 %P 14-22 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMUMM_2019_6_a2/ %G ru %F VMUMM_2019_6_a2
T. N. Fomenko. Search for zeros of functionals, fixed points, and mappings coincidence in quasi-metric spaces. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2019), pp. 14-22. http://geodesic.mathdoc.fr/item/VMUMM_2019_6_a2/