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As application, we study the existence of a common solution to a system of integral equations.
In this paper, a new iterative algorithm is proposed for finding a common solution to a constrained convex minimization problem, a quasi-variational inclusion problem and the fixed point problem of a strictly pseudo-contractive mapping in a real Hilbert space.
The purpose of this paper is to present a new iterative scheme for finding a common solution to a variational inclusion problem with a finite family of accretive operators and a modified system of variational inequalities in infinite-dimensional Banach spaces.
From finding a common element of the set of solutions for the variational inclusion problem with two accretive operators and the set of fixed points of nonexpansive mappings to finding a common solution to a variational inclusion problem with a finite family of accretive operators and a modified system of variational inequalities.
Motivated and inspired by Zhang et al. [19], Qin et al. [26], López et al. [24], Takahashi et al. [27] and Khuangsatung and Kangtunyakarn [25], we suggest and analyze a new iterative algorithm for finding a common solution to a variational inclusion problem with a finite family of accretive operators and a modified system of variational inequalities in infinite-dimensional Banach spaces.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com