[PDF] Top 20 Implicit eigenvalue problems for maximal monotone operators

... compact operators. More generally, implicit eigenvalue problems were considered in [, ], where the single-valued and compact case was dealt with in ...the implicit eigenvalue ... See full document

... projection operators in Banach spaces: properties and applications,” in Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, ... See full document

... a maximal monotone operator with domain DT C, S : C → C be a relatively nonexpansive mapping, A : C → E ∗ be an α-inverse-strongly monotone mapping and f : C× C → R be a bifunction satisfying ... See full document

... 18 S. Saewan, P. Kumam, and K. Wattanawitoon, “Convergence theorem based on a new hybrid projection method for finding a common solution of generalized equilibrium and variational inequality problems in Banach ... See full document

... Lemma 2.15 . (Zhang [24]) Let C be a closed convex subset of a smooth, strictly con- vex and reflexive Banach space E. Let B: C ® E* be a continuous and monotone map- ping, : C ® ℝ is convex and lower ... See full document

... value problems. The method allows to generate monotone iterative techniques which provide constructive methods (amenable numerical treatment), to obtain ...by maximal monotone ... See full document

... and monotone operator of C into E * and let B ⊂ E × E * be a maximal monotone operator satisfying D(B) ⊂ C and J r n = (J + r n B) – J for all r n > ... See full document

... of maximal monotone mappings and the property of a fixed-point set of multi-valued contractive mapping, we study the behavior and sensitivity analysis of a solution set for a parametric generalized mixed ... See full document

... optimization problems, variational inequalities, minimax problems, the Nash equilibrium problem in noncooperative games, and others; see, for example, 13, ... See full document

... technique, introduced by Takahashi et al. [12], we then prove that a sequence gener- ated by the proposed algorithm converges strongly to an element in N i=1 A − i 1 (0 ∗ ) under some appropriate control conditions. ... See full document

... of maximal monotone operators has emerged as an effective and powerful tool for studying many real world problems arising in various branches of social, physi- cal, engineering, pure and ... See full document

... minimization problems and variational inequalities. When T is maximal monotone, a well-known method for solving the equation 0 ∈ Tv in Hilbert space H is the proximal point algorithm see 1: x 1 x ∈ H ... See full document

... of maximal monotone operators and the set of solutions of an equilibrium problem in a Banach space by using the monotone hybrid ...of maximal monotone operators in a ... See full document

... nonlinear eigenvalue problem for maximal monotone operators under a normalization ...of operators, and a regularization method by the duality operator is ... See full document

... some problems arising in economics, me- chanics, and engineering science, Ding [1], Huang and Fang [10], Fang and Huang [3], Verma [14, 15], Fang and Huang [4, 5], Huang and Fang [9], Fang et ...η-subdifferential ... See full document

... Monotone operators in reflexive Banach spaces has many applications in nonlinear partial differential equations, nonlinear semi-group theory, variational inequality and so on (see ...for monotone ... See full document

... of maximal monotone operators, the minimization problem and the equilibrium problem, and to show that the unique min- imum norm solution can be obtained through our algorithm for each of the ... See full document

... quasibounded maximal monotone operators, recently developed by Kartsatos and ...an eigenvalue for the pair (T, C), T and C are positively homogeneous, and C satisfies the condition (S + ) L ... See full document

... where A is an operator from E into E*, such that v Î E is called a zero point of A, i. e., A -1 0 = {v Î E : Av = 0}. Such a problem contains numerous problems in economics, optimization and physics. Many authors ... See full document

... α-inverse-strongly monotone operators and the set of common solutions of a system of generalized mixed equilibrium problems in a -uniformly convex real Banach space which is also uniformly ... See full document