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Nonlinear operators

Fixed Point Theorems for Nonlinear Operators with and without Monotonicity in Partially Ordered Banach Spaces

Fixed Point Theorems for Nonlinear Operators with and without Monotonicity in Partially Ordered Banach Spaces

... for nonlinear operators on Banach spaces partially ordered by a ...monotone operators. In the second fixed point theorem, the nonlinear operators are neither monotone nor mixed ...

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Vector-valued metrics, fixed points and coupled fixed points for nonlinear operators

Vector-valued metrics, fixed points and coupled fixed points for nonlinear operators

... for nonlinear operators was introduced and studied by Opoitsev (see [–]) and then, in , by Guo and Lakshmikantham (see []) in connection with coupled quasisolutions of an initial value problem for ...

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Fixed point theorems for a class of nonlinear operators in Hilbert spaces with lattice structure and application

Fixed point theorems for a class of nonlinear operators in Hilbert spaces with lattice structure and application

... Motivated by [, ], we obtain some new theorems for nonlinear operators which are not cone mappings by means of variational and partial ordered methods. This paper is organized as follows. Section  is ...

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Fixed point theorems for nonlinear operators with singular perturbations and applications

Fixed point theorems for nonlinear operators with singular perturbations and applications

... In this paper, using fixed-point index theory and approximation techniques, we consider the existence and multiplicity of fixed points of some nonlinear operators with singular perturbation. As an application ...

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Iterative schemes for approximating solution of nonlinear operators in Banach spaces

Iterative schemes for approximating solution of nonlinear operators in Banach spaces

... One of the most interesting and important problems in the theory of maximal mono- tone operators is to find a zero point of maximal monotone operators. This problem con- tains the convex minimization problem ...

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Proximal point algorithms for zero points of nonlinear operators

Proximal point algorithms for zero points of nonlinear operators

... 33. Wu, C: Mann iteration for zero theorems of accretive operators. J. Fixed Point Theory 2013, Article ID 3 (2013) 34. Bruck, RE: Nonexpansive projections on subsets of Banach spaces. Pac. J. Math. 47, 341-355 ...

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A monotone projection algorithm for fixed points of nonlinear operators

A monotone projection algorithm for fixed points of nonlinear operators

... of nonlinear operator equations (inequalities) is important in the study of many real world ...various nonlinear mathematical models forms the major part of numerical ...

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Perturbations of normally solvable nonlinear operators, I

Perturbations of normally solvable nonlinear operators, I

... Normal solvability and existence theorems for nonlinear mappings in Banach spaces, Problems in Nonlinear Analysis, Edizioni Cremonese, Roma, Italy, 1971, 19-35.. Normal solvability for n[r] ...

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Existence, Uniqueness, Optimization and Stability for low Eigenvalues of some Nonlinear Operators

Existence, Uniqueness, Optimization and Stability for low Eigenvalues of some Nonlinear Operators

... This thesis is devoted to introduce and discuss the most noteworthy features of what it will be referred to as a nonlinear eigenvalue. A ultimate definition of such a mathematical object lacks in the literature, ...

152

An evolutionary feature synthesis approach for content-based audio retrieval

An evolutionary feature synthesis approach for content-based audio retrieval

... linear/ nonlinear operators and feature weights from a pre-defined multi-dimensional search space to generate a highly discriminative set of new (artificial) ...

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Regularization of nonlinear Ill-posed equations with accretive operators

Regularization of nonlinear Ill-posed equations with accretive operators

... projection operators in Banach spaces: Properties and applica- tions, Theory and Applications of Nonlinear Operators of Accretive and Monotone Type ...

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An invariant subspace problem for multilinear operators on Banach spaces and algebras

An invariant subspace problem for multilinear operators on Banach spaces and algebras

... bilinear operators of finite ...nonlinear operators. In Section , we will give a review of nonlinear spectral theory and Section  contains a review of techniques for tackling Problem ...

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Biomolecular implementation of nonlinear system theoretic operators

Biomolecular implementation of nonlinear system theoretic operators

... a nonlinear input-output ...of nonlinear operators can be realised by first converting the ordinary differential equations (ODEs) into their equivalent chemi- cal reaction networks (CRNs) and then ...

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Variational Methods for NLEV Approximation Near a Bifurcation Point

Variational Methods for NLEV Approximation Near a Bifurcation Point

... homogeneous operators such as the p-Laplacian—while minimax critical levels correspond to higher order eigenvalues, both for linear and nonlinear ...

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Fixed Point Results on $b$-Metric Space via Picard Sequences and $b$-Simulation Functions

Fixed Point Results on $b$-Metric Space via Picard Sequences and $b$-Simulation Functions

... of nonlinear contractions defined by using a specific simulation ...of nonlinear operators satisfying a certain contractive condition involving simulation functions, in the setting of ordered metric ...

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Hybrid Approximate Proximal Point Algorithms for Variational Inequalities in Banach Spaces

Hybrid Approximate Proximal Point Algorithms for Variational Inequalities in Banach Spaces

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

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Weak and strong convergence theorems for relatively nonexpansive multi-valued mappings in Banach spaces

Weak and strong convergence theorems for relatively nonexpansive multi-valued mappings in Banach spaces

... Butnariu, D, Reich, S, Zaslavski, AJ: Weak convergence of orbits of nonlinear operators in reflexive Banach spaces.. Numer Funct Anal Optim.[r] ...

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Iterative algorithms for a system of generalized variational inequalities in Hilbert spaces

Iterative algorithms for a system of generalized variational inequalities in Hilbert spaces

... Recently, Chang et al. [] introduced a two-step iterative algorithm for a system of non- linear variational inequalities and established strong convergence theorems. Huang and Noor [] introduced the so-called ...

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A fixed point theorem for a class of differentiable stable operators in banach spaces

A fixed point theorem for a class of differentiable stable operators in banach spaces

... for a vector h ∈ H . It follows that all conditions of Theorem 5.1 are satisfied and the operator (I + B) is surjective on H. According to the Minty theorem [18], the operator B is maximal monotone and maximal accretive. ...

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Fixed point theorems for monotone operators and applications to nonlinear elliptic problems

Fixed point theorems for monotone operators and applications to nonlinear elliptic problems

... of nonlinear singular boundary value problems and fractional dif- ferential equation boundary value problems, which are mentioned extensively in the liter- ature [, , ...

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