[PDF] Top 20 Some eigenvalue results for perturbations of maximal monotone operators

... compact operators. Regarding maximal monotone operators, it has been extensively investigated by many researchers in various aspects, with applications to evolution equations and differential ... See full document

... has no solution in D(T ) ∩ D(C) ∩ , where is a bounded open set in X and J is a nor- malized duality operator. This property is closely related to the use of a topological tool for finding the eigensolution on the ... See full document

... implicit eigenvalue problem for densely defined perturbations of maximal monotone operators, based on the degree theories of Kartsatos and ... See full document

... We present the strong convergence theorem for the iterative scheme for finding a common element of the fixed-point set of a quasi-nonexpansive mapping and the zero set of the sums of maximal monotone ... See full document

... corresponding results. As applications, we utilize the results obtained in this paper to study the existence and uniqueness of positive solutions for a fractional differential equa- tion boundary value ... See full document

... a maximal monotone operator and the fixed point set of a hemirelatively nonexpansive mapping in a Banach space by using monotone hybrid iteration ...these results, we obtain new convergence ... See full document

... of maximal monotone operator in Banach space by using the hybrid projection ...Our results extend and improve the recent results by Tang and Chang [15] and many ... See full document

... a maximal monotone operator and the solution set of the variational inequality problem for an inverse-strongly-monotone operator in a 2-uniformly convex and uniformly smooth Banach ...under ... See full document

... existence results for first and second order initial and boundary value ...generate monotone iterative techniques which provide constructive methods (amenable numerical treatment), to obtain ...multiplicity ... See full document

... Our results represent a generalization of known results in the literature, including Takahashi and Zembayashi 15, Kamimura and Takahashi 12, Li and Song 22, Ceng and Yao 25, and Ceng et ... See full document

... our results in Section  to study the split feasibility problem, the zero point problem of maximal monotone operators, the minimization problem and the equilibrium problem, and to show that ... See full document

... In this article, we introduce composite iterative schemes for finding a zero point of a finite family of maximal monotone operators in a reflexive Banach space. Then, we prove strong convergence ... See full document

... )-maximal monotone operators in Hilbert ...)-maximal monotone operators, we also construct some new iterative algorithms for finding approximation solutions to the general ... See full document

... of maximal monotone operators and the set of solutions of an equilibrium problem in a Banach ...new results for finding a solution of an equilibrium problem, a fixed point of a hemirelatively ... See full document

... Several authors have used these new notions in many directions. For instance, maximal and minimal θ-open sets and their properties are considered by M. Caldas, S. Jafari and S. P. Moshokoa [11] and also ... See full document

... Lemma ., Theorem ., that are key to the techniques in []. Similarly, the application of the method [] to nonlinear invariant subspace Problem . shows that quasinilpotent compact multilinear operators ... See full document

... (maximal) monotone multi-valued maps started in the sixties with the pioneering works of Minty [8–10], see also Kachurovskii [4, ...important results and a comprehensive ... See full document

... strongly monotone mapping of C into H, and let S be a nonexpansive mapping of C into itself such that FS ∩ Ω / ∅, where Ω denotes the set of solutions of a variational inequality for the α-inverse- strongly ... See full document

... ideal form of the algorithm is often impractical since, in many cases, solving the problem 1.6 exactly is either impossible or as difficult as the original problem 1.5. Therefore, one of the most interesting and important ... See full document

... We study the asymptotic distribution of eigenvalues of integral operators Tk defined by σ F τ by using the factorizakernels k which belong to Triebel-Lizorkin function space Fpu qv tion[r] ... See full document