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Displaying 41 – 60 of 119

Fixed point theorems for nonexpansive operators with dissipative perturbations in cones

Shih-sen Chang, Yu-Qing Chen, Yeol Je Cho, Byung-Soo Lee (1998)

Commentationes Mathematicae Universitatis Carolinae

Let $P$ be a cone in a Hilbert space $H$ , $A : P \to 2^{P}$ be an accretive mapping (equivalently, $- A$ be a dissipative mapping) and $T : P \to P$ be a nonexpansive mapping. In this paper, some fixed point theorems for mappings of the type $- A + T$ are established. As an application, we utilize the results presented in this paper to study the existence problem of solutions for some kind of nonlinear integral equations in $L^{2} (Ω)$ .

Fixed point theorems for set-valued Y-contractions

Ioan A. Rus, Adrian Petruşel, Gabriela Petruşel (2007)

Banach Center Publications

The purpose of this paper is to present several fixed point theorems for the so-called set-valued Y-contractions. Set-valued Y-contractions in ordered metric spaces, set-valued graphic contractions, set-valued contractions outside a bounded set and set-valued operators on a metric space with cyclic representations are considered.

Fixed point theory for compact perturbations of pseudocontractive maps

Donal O'Regan (1998)

Archivum Mathematicum

Some new fixed point results are established for mappings of the form $F_{1} + F_{2}$ with $F_{2}$ compact and $F_{1}$ pseudocontractive.

Generalized first-order nonlinear evolution equations and generalized Yosida approximations based on $H$ -maximal monotonicity frameworks.

Verma, Ram U. (2009)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Generalized fuzzy random set-valued mixed variational inclusions involving random nonlinear $(𝐀_{ω}, η_{ω})$ -accretive mappings in Banach spaces.

Li, Hong Gang (2010)

The Journal of Nonlinear Sciences and its Applications

Global existence for a semilinear prabolic Volterra equation.

Jan Prüss, Philippe Clément (1992)

Mathematische Zeitschrift

Invariant sets for nonlinear evolution equations, Cauchy problems and periodic problems.

Hirano, Norimichi, Shioji, Naoki (2004)

Abstract and Applied Analysis

Ishikawa iterative process with errors for generalized Lipschitzian and Phi-accretive mappings in uniformly smooth Banach spaces

Xue Zhiqun (2006)

Kragujevac Journal of Mathematics

Currently displaying 41 – 60 of 119

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Displaying 41 – 60 of 119

Fixed point theorems for nonexpansive operators with dissipative perturbations in cones

Fixed point theorems for set-valued Y-contractions

Fixed point theory for compact perturbations of pseudocontractive maps

Fixed points for pseudocontractive mappings on unbounded domains.

General nonlinear random equations with random multivalued operator in Banach spaces.

Generalized dissipativeness in a Banach space.

Generalized first-order nonlinear evolution equations and generalized Yosida approximations based on $H$ -maximal monotonicity frameworks.

Generalized fuzzy random set-valued mixed variational inclusions involving random nonlinear $(𝐀_{ω}, η_{ω})$ -accretive mappings in Banach spaces.

Global existence for a semilinear prabolic Volterra equation.

Invariant sets for nonlinear evolution equations, Cauchy problems and periodic problems.

Ishikawa iterative process with errors for generalized Lipschitzian and Phi-accretive mappings in uniformly smooth Banach spaces

Ishikawa iterative sequence for the generalized Lipschitzian and Phi-strongly accretive mappings in Banach spaces

Iterative approximation of a common zero of a countably infinite family of $m$ -accretive operators in Banach spaces.

Iterative approximation of a solution of a general variational-like inclusion in Banach spaces.

Iterative approximation of solutions of nonlinear equations of Hammerstein type.

Iterative approximations for solutions of nonlinear equations involving non-self-mappings.

Iterative methods for solving fixed-point problems with nonself-mappings in Banach spaces.

Iterative solution of nonlinear equations of Hammerstein type.

Iterative solutions of $K$ -positive definite operator equations in real uniformly smooth Banach spaces.

Iterative solutions of nonlinear equations with $φ$ -strongly accretive operators.

Currently displaying 41 – 60 of 119