Weak and strong convergence theorems for solving pseudo-monotone variational inequalities with non-Lipschitz mappings
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DOI: 10.1007/s11075-019-00780-0
Abstract: The aim of this paper is to study a classical pseudo-monotone and non-Lipschitz continuous variational inequality problem in real Hilbert spaces. Weak and strong convergence theorems are presented under mild conditions. Our methods generalize and… read more here.
Keywords: pseudo monotone; convergence theorems; non lipschitz; weak strong ... See more keywords
Convergence theorems for composite viscosity approaches to systems variational inequalities in Banach spaces
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DOI: 10.2298/fil1919267c
Abstract: In this paper, we study a general system of variational inequalities with a hierarchical variational inequality constraint for an infinite family of nonexpansive mappings. We introduce general implicit and explicit iterative algorithms. We prove the… read more here.
Keywords: convergence theorems; viscosity approaches; variational inequalities; composite viscosity ... See more keywords
Convergence theorems for nonspreading mappings and equilibrium problems in Hadamard spaces
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DOI: 10.2298/fil2006863a
Abstract: In this paper, we introduce a new iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of a finite family of… read more here.
Keywords: theorems nonspreading; nonspreading mappings; mappings equilibrium; convergence theorems ... See more keywords
Strong and weak convergence theorems for solutions of equations of Hammerstein-type
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DOI: 10.2298/fil2302477o
Abstract: In this paper, it is our aim in this paper to introduce a new iterative algorithmfor approximation of a solution of an equation of Hammerstein-type. The proposed scheme does not involve computation of inverse of… read more here.
Keywords: weak convergence; hammerstein type; type; convergence theorems ... See more keywords
Strong Convergence Theorems for Generalized Split Feasibility Problems in Banach Spaces
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DOI: 10.3390/math8060892
Abstract: In this paper, we establish new strong convergence theorems of proposed algorithms under suitable new conditions for the generalized split feasibility problem in Banach spaces. As applications, new strong convergence theorems for equilibrium problems, fixed… read more here.
Keywords: split feasibility; convergence theorems; banach spaces; generalized split ... See more keywords
Strong convergence theorems for equilibrium problems involving Bregman functions in Banach spaces
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DOI: 10.5556/j.tkjm.48.2017.2299
Abstract: In this paper, using Bregman functions, we introduce new Halpern-type iterative algorithms for finding a solution of an equilibrium problem in Banach spaces. We prove the strong convergence of a modified Halpern-type scheme to an… read more here.
Keywords: convergence theorems; banach spaces; bregman functions; theorems equilibrium ... See more keywords