hybrid steepest descent method
A relaxed hybrid steepest descent method for common solutions of generalized mixed equilibrium problems and fixed point problems
... relaxed hybrid steepest descent method for finding a common element of the set of fixed points of a nonexpansive mapping, the set of solutions of a variational inequality for an inverse ...
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The hybrid steepest descent method for solutions of equilibrium problems and other problems in fixed point theory
... the hybrid steepest descent method and prove the strong convergence to a common element of the equilibrium problem; the null space of an inverse strongly monotone operator; the set of fixed ...
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Hybrid Steepest Descent Method with Variable Parameters for General Variational Inequalities
... We study the strong convergence of a hybrid steepest descent method with variable pa- rameters for the general variational inequality GVI(F ,g ,C). Consequently, as an applica- tion, we obtain ...
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A viscosity hybrid steepest descent method for a system of equilibrium and fixed point problems for an infinite family of strictly pseudo contractive mappings
... viscosity hybrid steepest- descent method for finding a common element of the set of variational inequalities, fixed points for an infinite family of strictly pseudo-contractive mappings and the ...
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Efficient implementation of a modified and relaxed hybrid steepest descent method for a type of variational inequality
... inequalities under different conditions that simplify the proof, which differs from previous studies. Second, we design an efficient implementation of the MRHSD method for a type of variational inequality problem ...
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The hybrid steepest descent method for solving variational inequality over triple hierarchical problems
... 3. Yao, JC, Chadli, O: Pseudomonotone complementarity problems and variational inequalities. In: Crouzeix, JP, Haddjissas, N, Schaible, S (eds.) Handbook of Generalized Convexity and Monotonicity, pp. 501-558 (2005) 4. ...
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Mann type hybrid steepest descent method for three nonlinear problems
... extragradient method, the viscosity approximation method [], Mann’s it- eration method, and the hybrid steepest-descent ...
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A Generalized Hybrid Steepest-Descent Method for Variational Inequalities in Banach Spaces
... “The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility ...
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A new iteration method for variational inequalities on the set of common fixed points for a finite family of quasi pseudocontractions in Hilbert spaces
... iteration method based on the hybrid steepest descent method and Ishikawa-type method for seeking a solution of a variational inequality involving a Lipschitz continuous and ...
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Convergence of iterative sequences for fixed points of an infinite family of nonexpansive mappings based on a hybrid steepest descent methods
... viscosity hybrid steepest descent method for finding a common solutions of a generalized mixed equilibrium problem, the set of fixed points of a nonexpansive mapping and the set of solutions ...
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Hybrid Steepest-Descent Methods for Solving Variational Inequalities Governed by Boundedly Lipschitzian and Strongly Monotone Operators
... “The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility ...
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An Implicit Hierarchical Fixed-Point Approach to General Variational Inequalities in Hilbert Spaces
... On the other hand, let F : H → H be a κ-Lipschitzian and η-strongly monotone operator with constants κ, η > 0, and let T : H → H be nonexpansive such that FixT / ∅. In 2001, Yamada 6 introduced the so-called ...
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A Hybrid Method for Monotone Variational Inequalities Involving Pseudocontractions
... “The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility ...
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Adaptive Filtering using Steepest Descent and LMS Algorithm
... All physical systems produce noise while operating in a dynamic environment and subsequently corrupt the information. The complexity of the signal makes it difficult to comprehend for the human ear or other system ...
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Accelerated Mann and CQ algorithms for finding a fixed point of a nonexpansive mapping
... We first apply the Picard algorithm to the smooth convex minimization problem and illustrate that the Picard algorithm is the steepest descent method [] for solving the minimization problem. Since ...
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A new explicit iteration method for variational inequalities on the set of common fixed points for a finite family of nonexpansive mappings
... iteration method based on the steepest descent method and Krasnoselskii-Mann type method for finding a solution of a variational inequality involving a Lipschitz continuous and strongly ...
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An Application of Hybrid Steepest Descent Methods for Equilibrium Problems and Strict Pseudocontractions in Hilbert Spaces
... The set of fixed points of S is denoted by FS. Very recently, by using the general approximation method, Qin et al. 7 obtained a strong convergence theorem for finding an element of FS. On the other hand, Ceng et ...
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An efficient algorithm for steepest descent method for unconstrained optimization
... each steepest descent direction converge very ...Barzilai-Borwein method is not monotone, thus it is not easy to be generalized for general nonlinear ...new steepest descent ...
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Analysis of Effort Constraint Algorithm in Active Noise Control Systems
... Adaptive algorithms are widely used for feed-forward con- trol systems, in which the mean-square error is minimized using the method of steepest descent, with no constraint on the magnitude of the ...
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Design of broadband beamformers with low complexity
... a method is pro- posed to allocate the number of SPT terms to each coef- ficient value, but the optimum assignment scheme is not ...function method, which was first introduced in [21] for global ...
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