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On the approximation-solvability of equations involving 𝐴-proper and pseudo-𝐴-proper mappings - MaRDI portal

On the approximation-solvability of equations involving 𝐴-proper and pseudo-𝐴-proper mappings (Q4059490)

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English	On the approximation-solvability of equations involving 𝐴-proper and pseudo-𝐴-proper mappings	scientific article

Statements

scholarly article

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On the approximation-solvability of equations involving 𝐴-proper and pseudo-𝐴-proper mappings (English)

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W. V. Petryshyn

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Bulletin of the American Mathematical Society

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publication date

1975

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MaRDI profile type

MaRDI publication profile

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Fixed points of asymptotically linear maps in ordered Banach spaces

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Fixed-Point Theorems for Certain Classes of Nonexpansive Mappings

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Équations et inéquations non linéaires dans les espaces vectoriels en dualité

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Méthodes d'approximation et d'itération pour les opérateurs monotones

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The solvability of non-linear functional equations

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MAPPING THEOREMS FOR NONCOMPACT NONLINEAR OPERATORS IN BANACH SPACES

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Fixed point theorems for nonlinear semicontractive mappings in Banach spaces

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Approximation-solvability of nonlinear functional equations in normed linear spaces

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Semicontractive and semiaccretive nonlinear mappings in Banach spaces

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Nonlinear elliptic boundary value problems and the generalized topological degree

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Nonlinear mappings of analytic type in Banach spaces

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Normal solvability and 𝜙-accretive mappings of Banach spaces

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Topology and non-linear functional equations

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Remarks on nonlinear functional equations. II, III

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The topological degree for noncompact nonlinear mappings in Banach spaces

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Approximation methods and the generalized topological degree for nonlinear mappings in Banach spaces

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The topological degree and Galerkin approximations for noncompact operators in Banach spaces

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Functional analysis and Galerkin's method

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Analytic functional mappings

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A Definition of Degree for Certain Mappings in Hilbert Space

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Fixed points of generalized P-compact operators

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A Leray-Schauder theorem for a class of nonlinear operators

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Fixed-point theorems for nonlinear operators and Galerkin approximations

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Maximal monotone operators and nonlinear integral equations of Hammerstein type

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A generalized degree for uniform limits of A-proper mappings

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𝐴-proper mappings and their uniform limits

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Surjectivity results for non-linear mappings from a Banach space to it's dual

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On the Structure of the Set of Solutions of Equations Involving A-Proper Mappings

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Fredholm alternative for nonlinear operators in Banach spaces and its applications to differential and integral equations

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Uber die fredholm-alternative bei linearen approximationsregularen operatoren

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Noncompact mappings and cones in Banach spaces

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On the Fredholm Alternative for Nonlinear Functional Equations in Banach Spaces

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On nonlinear mappings of monotone type homotopic to odd operators

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Constructive proofs of representation theorems in separable Hilbert space

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Über die Approximation von linearen Gleichungen zweiter Art und Eigenwertproblemen in Banach-Räumen. (On the approximation of linear equations of second kind and eigenvalue problems in Banach spaces)

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Quasi-compact non-linear operators in Banach space and applications

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Mappings of generalized contractive type

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On nonlinear mappings of strongly semicontractive type

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Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder

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Topologie et équations fonctionnelles

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Introduction to the Theory of Bases

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On the convergence of the Bubnov-Galerkin method

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Monotone (nonlinear) operators in Hilbert space

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ON A „MONOTONICITY” METHOD FOR THE SOLUTION OF NONLINEAR EQUATIONS IN BANACH SPACES

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The fixed point index and asymptotic fixed point theorems for $k$-set-contractions

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The radius of the essential spectrum

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The fixed point index for local condensing maps

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On the Equivalence of Multiplicity and the Generalized Topological Degree

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Existence theorems for a class of nonlinear operator equations

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Iterative Lösung gewisser nichtlinearer Operatorgleichungen mit Anwendung auf quasilineare Differentialgleichungen

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Direct and Iterative Methods for the Solution of Linear Operator Equations in Hilbert Space

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Constructional Proof of Lax-Milgram lemma and its Application to Non-<i>K</i>-P.D. Abstract and Differential Operator Equations

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On a class of K-p.d. and non-K-p.d. operators and operator equations

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On the extension and the solution of nonlinear operator equations

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Further remarks on nonlinear P-compact operators in Banach space

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On a fixed point theorem for nonlinear $P$-compact operators in Banach space

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On nonlinear P-compact operators in Banach space with applications to constructive fixed-point theorems

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Remarks on the approximation-solvability of nonlinear functional equations

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Iterative Construction of Fixed Points of Contractive Type Mappings in Banach Spaces

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On the approximation-solvability of nonlinear equations

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On projectional-solvability and the Fredholm alternative for equations involving linear A-proper operators

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Fixed-point theorems involving P-compact, semicontractive, and accretive operators not defined on all of a Banach space

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Some examples concerning the distinctive features of bounded linear A-proper mappings and Fredholm mappings

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Invariance of domain theorem for locally A-proper mappings and its implications

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On Existence Theorems for Nonlinear Equations Involving Noncompact Mappings

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Antipodes theorem for A-proper mappings and its applications to mappings of the modified type (S) or (S)+ and to mapping with the pm property

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Surjectivity theorems for odd maps of A-proper type

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On nonlinear equations involving pseudo-A-proper mappings and their uniform limits with applications

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Fixed Point Theorems for Various Classes of 1-Set-Contractive and 1-Ball- Contractive Mappings in Banach Space

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Fredholm alternatives for nonlinear A-proper mappings with applications to nonlinear elliptic boundary value problems

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Fredholm alternative for nonlinear k-ball-contractive mappings with applications

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A Degree Theory, Fixed Point Theorems, and Mapping Theorems for Multivalued Noncompact Mappings

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On the Functional Equations Involving Nonlinear Generalized P-Compact Operators

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Non-Linear <i>A</i>-Proper Mappings of the Analytic Type

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Local boundedness of nonlinear, monotone operators

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Compact analytic mappings of B‐spaces and a theorem of Jane Cronin

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A fixed point theorem, and some applications

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The Fixed Point Index of a Differentiable (Β) <i>K</i> -Set Contraction

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Leray-Schauder theorem for P-compact operators and its consequences

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Fixed Point Theorems for Non-Linear Semicontractive Operators in Banach Spaces

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Mapping and Fixed-Point Theorems for Non-Linear Operators in Banach Spaces

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The Topological Degree of A-Proper Maps

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A product formula for the degree of A-proper maps

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A note on <i>d</i>-ideals in some near-algebras

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The closure of the numerical range contains the spectrum

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Identifiers

zbMATH Open document ID

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10.1090/S0002-9904-1975-13728-1

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4059490

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