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Article
Open AccessA novel accelerated extragradient algorithm to solve pseudomonotone variational inequalities
In this paper, we propose a new inertial iterative method to solve classical variational inequalities with pseudomonotone and Lipschitz continuous operators in the setting of a real Hilbert space. The proposed...
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Article
Open AccessAn altering distance function in fuzzy metric fixed point theorems
The aim of this paper is to improve conditions proposed in recently published fixed point results for complete and compact fuzzy metric spaces (Ćirić in Chaos Solitons Fractals 42:146-154, 2009; Shen et al. in Ap...
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Chapter
Fixed Point Theorem and Stability for (α, ψ, ξ)-Generalized Contractive Multivalued Map**s
In this paper, we introduce and prove a fixed point theorem for \( (\alpha ,\psi ,\xi ) \) ( ...
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Article
Open AccessCommon tripled fixed point theorems for W-compatible map**s along with the property in abstract metric spaces
In this paper, we introduce the concept of common limit in the range property for map**s F ...
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Chapter and Conference Paper
Hierarchical Equilibrium and Generalized Variational Inequality Problems
In this paper, we study the convex feasibility problem (CFP) in the case that each is a solution set of the generalized variational inequality and the equilibrium problem and introduce a new approach method to...
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Article
Open AccessHierarchical fixed points of strictly pseudo contractive map**s for variational inequality problems
In this paper, we introduce a new iterative scheme that converges strongly to a common fixed point of a countable family of strictly pseudo-contractive map**s in a real Hilbert space which is also a solution...
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Article
Open AccessThe hybrid steepest descent method for solving variational inequality over triple hierarchical problems
An explicit algorithm is introduced to solve the monotone variational inequality over a triple hierarchical problem. The strong convergence for the proposed algorithm to the solution is guaranteed under some a...