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Article
Generalized Set-valued Nonlinear Variational-like Inequalities and Fixed Point Problems: Existence and Approximation Solvability Results
The paper is devoted to the introduction of a new class of generalized set-valued nonlinear variational-like inequality problems in the setting of Banach spaces. By means of the notion of P-
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Article
Open AccessConvergence theorems for total asymptotically nonexpansive map**s in \(\operatorname{CAT} (\kappa )\) spaces
The purpose of this paper is to study the convergence theorems in CAT ( κ ...
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Article
Open AccessIterative algorithm for fixed point problems of generalized nearly asymptotically nonexpansive map**s and solutions of a system of generalized nonlinear variational-like inclusions
This paper is devoted to the study of a class of generalized nonexpansive map**s called generalized nearly asymptotically nonexpansive map**s and to show that it properly includes the class of nearly asymp...
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Article
Generalized nearly asymptotically nonexpansive map**s and a system of generalized variational-like inclusions: iterative method and approximation of common solutions
The purpose of this paper is twofold. Our first objective is to establish a new equivalence relationship between the graph convergence of a sequence of ...
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Article
Shrinking projection algorithm for solving a finite family of quasi-variational inclusion problems in Hadamard manifold
The purpose of this article is to introduce a general shrinking projection algorithm for solving a finite family of quasi-variational inclusion problems in Hadamard manifolds. It is shown that under mild condi...
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Article
Split Common Fixed Point Problem for Quasi-Pseudo-Contractive Map** in Hilbert Spaces
In this paper, the split common fixed point problem for quasi-pseudo-contractive map**s is studied in Hilbert spaces. By using the hybrid projection method, a new algorithm and some strong convergence theore...
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Split Variational Inclusion Problem and Fixed Point Problem for Asymptotically Nonexpansive Semigroup with Application to Optimization Problem
The purpose of this paper is, by using the shrinking projection method, to introduce and study an iterative process to approximate a common solution of the split variational inclusion problem and the fixed poi...
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Article
A proximal point algorithm for finding minimizers and fixed points of quasi-pseudo-contractive map**s in CAT(0) spaces
The purpose of this article is twofold. One is to establish a proximal point algorithm for finding a minimizer of a proper convex and lower semi-continuous function and fixed points of quasi-pseudo-contractive...
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Article
Open AccessError bounds for mixed set-valued vector inverse quasi-variational inequalities
The purpose of this paper is to introduce and study the mixed set-valued vector inverse quasi-variational inequality problems (MSVIQVIPs) and to obtain error bounds for this kind of MSVIQVIP in terms of the re...
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Article
On the Split Equality Fixed Point Problem of Quasi-Pseudo-Contractive Map**s Without A Priori Knowledge of Operator Norms with Applications
In this paper, we consider the split equality fixed point problem for quasi-pseudo-contractive map**s without a priori knowledge of operator norms in Hilbert spaces, which includes split feasibility problem,...
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Article
Common solution for a finite family of minimization problem and fixed point problem for a pair of demicontractive map**s in Hadamard spaces
In this paper, an iterative algorithm to approximate a common solution of a finite family of minimization problem and fixed point problem for a pair of demicontractive map**s in Hadamard spaces are proposed....
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Article
Open AccessWell-posedness for generalized \((\eta ,g,\varphi )\) -mixed vector variational-type inequality and optimization problems
The purpose of this paper is to focus on the well-posedness for a generalized ( ...
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Article
Forward–Backward Splitting Method for Solving a System of Quasi-Variational Inclusions
The purpose of this paper is by using a generalized forward–backward splitting method to propose an iterative algorithm for finding a common element of the set of solutions to a system of quasi-variational inc...
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Article
On the split feasibility problem and fixed point problem of quasi-ϕ-nonexpansive map** in Banach spaces
The purpose of this paper is to propose an algorithm to solve the split feasibility and fixed point problem of quasi-ϕ-nonexpansive map**s in Banach spaces. Without the assumption of semi-compactness on the map...
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Article
A generalized forward–backward splitting method for solving a system of quasi variational inclusions in Banach spaces
The purpose of this paper is by using the generalized forward–backward splitting method and implicit midpoint rule to propose an iterative algorithm for finding a common element of the set of solutions to a sy...
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Article
Zero Point Problem of Accretive Operators in Banach Spaces
Splitting methods have recently received much attention due to the fact that many nonlinear problems arising in applied areas such as image recovery, signal processing and machine learning are mathematically m...
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Article
Open AccessStrong convergence theorems for a class of split feasibility problems and fixed point problem in Hilbert spaces
In this paper we consider a class of split feasibility problem by focusing on the solution sets of two important problems in the setting of Hilbert spaces. One of them is the set of zero points of the sum of t...
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Article
Open AccessA modified viscosity implicit-type proximal point algorithm for monotone inclusions and asymptotically nonexpansive map**s in Hadamard spaces
The purpose of this article is to propose a modified viscosity implicit-type proximal point algorithm for approximating a common solution of a monotone inclusion problem and a fixed point problem for an asympt...
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Article
Common Zero for a Finite Family of Monotone Map**s in Hadamard Spaces with Applications
The purpose of this article is to propose a viscosity-type algorithms for solving the common zero for a finite family of monotone map**s in Hadamard spaces. Some applications to convex optimization problem i...
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Article
Open AccessThe modified proximal point algorithm in Hadamard spaces
The purpose of this paper is to propose a modified proximal point algorithm for solving minimization problems in Hadamard spaces. We then prove that the sequence generated by the algorithm converges strongly (...
