Geodesic
New inertial approximation schemes for general quasi variational inclusions
Filomat, Tome 36 (2022) no. 18, p. 6071

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DOI

In this article, we introduce and consider some new classes of general quasi variational inclusions, which provide us with unified, natural, novel and simple framework to consider a wide class of unrelated problems arising in pure and applied sciences. We prove that the general quasi variational inclusions are equivalent to the fixed point problems. This alternative formulation is used to discuss the existence of a solution as well as to propose some iterative methods. Convergence analysis is investigated under certain mild conditions. Since the general quasi variational inclusions include quasi variational inequalities, variational inequalities, and related optimization problems as special cases, our results continue to hold for these problems. It is an interesting problem to compare these methods with other technique for solving quasi variational inclusions for further research activities.
DOI : 10.2298/FIL2218071N
Classification : 49J40, 90C33
Keywords: Convex functions, monotone operators, variational inclusions, iterativ methods, inertial methods, convergence 
Muhammad Aslam Noor; Khalida Inayat Noor. New inertial approximation schemes for general quasi variational inclusions. Filomat, Tome 36 (2022) no. 18, p. 6071 . doi: 10.2298/FIL2218071N
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     title = {New inertial approximation schemes for general quasi variational inclusions},
     journal = {Filomat},
     pages = {6071 },
     year = {2022},
     volume = {36},
     number = {18},
     doi = {10.2298/FIL2218071N},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2218071N/}
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