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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DOI

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.
DOI : 10.2298/FIL2212111Y
Classification : 47H10, 47J25, 47J40
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
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     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/}
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