Strong convergence of an iterative procedure for pseudomonotone variational inequalities and fixed point problems
Filomat, Tome 36 (2022) no. 12, p. 4111
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Pseudomonotone variational inequalities have been investigated by many authors, a common assumption " weak sequential continuity " being imposed on pseudomonotone operators. In this paper, we propose an iterative procedure for solving pseudomonotone variational inequalities and fixed point problems of asymptotically pseudocontractive operators by using self-adaptive techniques. Under a weaker assumption than weak sequential continuity imposed on pseudomonotone operators, we prove that the suggested procedure has strong convergence.
Classification :
47H10, 47J25, 47J40
Keywords: Pseudomonotone variational inequality, Asymptotically pseudocontractive operator, Fixed point, Projection
Keywords: Pseudomonotone variational inequality, Asymptotically pseudocontractive operator, Fixed point, Projection
Tzu-Chien Yin; Ariana Pitea. Strong convergence of an iterative procedure for pseudomonotone variational inequalities and fixed point problems. Filomat, Tome 36 (2022) no. 12, p. 4111 . doi: 10.2298/FIL2212111Y
@article{10_2298_FIL2212111Y,
author = {Tzu-Chien Yin and Ariana Pitea},
title = {Strong convergence of an iterative procedure for pseudomonotone variational inequalities and fixed point problems},
journal = {Filomat},
pages = {4111 },
year = {2022},
volume = {36},
number = {12},
doi = {10.2298/FIL2212111Y},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2212111Y/}
}
TY - JOUR AU - Tzu-Chien Yin AU - Ariana Pitea TI - Strong convergence of an iterative procedure for pseudomonotone variational inequalities and fixed point problems JO - Filomat PY - 2022 SP - 4111 VL - 36 IS - 12 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2212111Y/ DO - 10.2298/FIL2212111Y LA - en ID - 10_2298_FIL2212111Y ER -
%0 Journal Article %A Tzu-Chien Yin %A Ariana Pitea %T Strong convergence of an iterative procedure for pseudomonotone variational inequalities and fixed point problems %J Filomat %D 2022 %P 4111 %V 36 %N 12 %U http://geodesic.mathdoc.fr/articles/10.2298/FIL2212111Y/ %R 10.2298/FIL2212111Y %G en %F 10_2298_FIL2212111Y
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