A new topological degree theory for densely defined quasibounded -perturbations of multivalued maximal monotone operators in reflexive Banach spaces.

Kartsatos, Athanassios G.; Skrypnik, Igor V.

Displaying similar documents to “A new topological degree theory for densely defined quasibounded $({\tilde{S}}_{+})$ -perturbations of multivalued maximal monotone operators in reflexive Banach spaces.”

Eigenvalue results for pseudomonotone perturbations of maximal monotone operators

In-Sook Kim, Jung-Hyun Bae (2013)

Open Mathematics

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Let X be an infinite-dimensional real reflexive Banach space such that X and its dual X* are locally uniformly convex. Suppose that T: X⊃D(T) → 2X* is a maximal monotone multi-valued operator and C: X⊃D(C) → X* is a generalized pseudomonotone quasibounded operator with L ⊂ D(C), where L is a dense subspace of X. Applying a recent degree theory of Kartsatos and Skrypnik, we establish the existence of an eigensolution to the nonlinear inclusion 0 ∈ T x + λ C x, with a regularization method...

On multivalued nonlinear variational inclusion problems with $(A, η)$ -accretive mappings in Banach spaces.

Lan, Heng-You (2006)

Journal of Inequalities and Applications [electronic only]

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Existence of fixed points of firmly nonexpansive-like mappings in Banach spaces.

Aoyama, Koji, Kohsaka, Fumiaki (2010)

Fixed Point Theory and Applications [electronic only]

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Generalized co-complementarity problems in $p$ -uniformly smooth Banach spaces.

Khan, Firdosh, Salahuddin (2006)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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The shrinking projection method for common solutions of generalized mixed equilibrium problems and fixed point problems for strictly pseudocontractive mappings.

Jitpeera, Thanyarat, Kumam, Poom (2011)

Journal of Inequalities and Applications [electronic only]

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Convergence theorems for generalized projections and maximal monotone operators in Banach spaces.

Ibaraki, Takanori, Kimura, Yasunori, Takahashi, Wataru (2003)

Abstract and Applied Analysis

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Nonlinear boundary value problems for second order differential inclusions

Sophia Th. Kyritsi, Nikolaos M. Matzakos, Nikolaos S. Papageorgiou (2005)

Czechoslovak Mathematical Journal

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In this paper we study two boundary value problems for second order strongly nonlinear differential inclusions involving a maximal monotone term. The first is a vector problem with Dirichlet boundary conditions and a nonlinear differential operator of the form $x \mapsto a {(x, x^{'})}^{'}$ . In this problem the maximal monotone term is required to be defined everywhere in the state space $ℝ^{N}$ . The second problem is a scalar problem with periodic boundary conditions and a differential operator of the form $x \mapsto {(a (x) x^{'})}^{'}$ . In this...

Surjectivity results for nonlinear mappings without oddness conditions

W. Feng, Jeffrey Ronald Leslie Webb (1997)

Commentationes Mathematicae Universitatis Carolinae

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Surjectivity results of Fredholm alternative type are obtained for nonlinear operator equations of the form $λ T (x) - S (x) = f$ , where $T$ is invertible, and $T, S$ satisfy various types of homogeneity conditions. We are able to answer some questions left open by Fuč’ık, Nečas, Souček, and Souček. We employ the concept of an $a$ -stably-solvable operator, related to nonlinear spectral theory methodology. Applications are given to a nonlinear Sturm-Liouville problem and a three point boundary value problem recently...

Displaying similar documents to “A new topological degree theory for densely defined quasibounded ( S ˜ + ) -perturbations of multivalued maximal monotone operators in reflexive Banach spaces.”

Displaying similar documents to “A new topological degree theory for densely defined quasibounded $({\tilde{S}}_{+})$ -perturbations of multivalued maximal monotone operators in reflexive Banach spaces.”