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The Resource Handbook of Functional Equations : Stability Theory, edited by Themistocles M. Rassias, (electronic resource)

Handbook of Functional Equations : Stability Theory, edited by Themistocles M. Rassias, (electronic resource)

Editor
Contributor
Summary
This handbook consists of seventeen chapters written by eminent scientists from the international mathematical community, who present important research works in the field of mathematical analysis and related subjects, particularly in the Ulam stability theory of functional equations. The book provides an insight into a large domain of research with emphasis to the discussion of several theories, methods and problems in approximation theory, analytic inequalities, functional analysis, computational algebra and applications. The notion of stability of functional equations has its origins with S. M. Ulam, who posed the fundamental problem for approximate homomorphisms in 1940 and with D. H. Hyers, Th. M. Rassias, who provided the first significant solutions for additive and linear mappings in 1941 and 1978, respectively. During the last decade the notion of stability of functional equations has evolved into a very active domain of mathematical research with several applications of interdisciplinary nature. The chapters of this handbook focus mainly on both old and recent developments on the equation of homomorphism for square symmetric groupoids, the linear and polynomial functional equations in a single variable, the Drygas functional equation on amenable semigroups, monomial functional equation, the Cauchy✹Jensen type mappings, differential equations and differential operators, operational equations and inclusions, generalized module left higher derivations, selections of set-valued mappings, D'Alembert's functional equation, characterizations of information measures, functional equations in restricted domains, as well as generalized functional stability and fixed point theory.--
Language
eng
Work
Publication
Extent
X, 396 pages
Contents
  • On Some Functional Equations (M. Adam, S. Czerwik, K. Krol)
  • Remarks on Stability of the Equation of Homomorphism for Square Symmetric Groupoids (A. Bahyrycz, J. Brzdek)
  • On Stability of the Linear and Polynomial Functional Equations in Single Variable (J. Brzdek, M. Piszczek)
  • Selections of Set-Valued Maps Satisfying Some Inclusions and the Hyers-Ulam Stability (J. Brzdek, M. Piszczek)
  • Generalized Ulam-Hyers Stability Results: A Fixed Point Approach (L. Caradiu)
  • On a Wake Version of Hyers-Ulam Stability Theorem in Restricted Domain (J. Chung, J. Chang)
  • On the Stability of Drygas Functional Equation on Amenable Semigroups (E. Elqorachi, Y. Manar, Th.M. Rassias)
  • Stability of Quadratic and Drygas Functional Equations, with an Application for Solving an Alternative Quadratic Equation (G.L. Forti)
  • A Functional Equation Having Monomials and its Stability (M.E. Gorgji, H. Khodaei, Th.M. Rassias)
  • Some Functional Equations Related to the Characterizations of Information Measures and their Stability (E. Gselmann, G. Maksa)
  • Approximate Cauchy-Jensen Type Mappings in Quasi-Ý Normed Spaces (H.-M. Kim, K.-W. Jun, E. Son)
  • An AQCQ-Functional Equation in Matrix Paranormed Spaces (J.R. Lee, C. Park, Th.M. Rassias, D.Y. Shin)
  • On the GEneralized Hyers-Ulam Stability of the Pexider Equation on Restricted Domains (Y. Manar, E. Elqorachi, Th.M. Rassias)
  • Hyers-Ulam Stability of Some Differential Equations and Differential Operators (D. Popa, I. Rasa)
  • Results and Problems in Ulam Stability of Operational Equations and Inclusions (I.A. Rus)
  • Superstability of Generalized Module Left Higher Derivations on a Multi-Banach Module (T.L. Shateri, Z. Afshari)
  • D'Alembert's Functional Equation and Superstability Problem in Hypergroups (D. Zeglami, A. Roukbi, Th.M. Rassias)
Isbn
9781493912865
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-1-4939-1286-5
Instance
Label
Handbook of Functional Equations : Stability Theory
Title
Handbook of Functional Equations
Title remainder
Stability Theory
Statement of responsibility
edited by Themistocles M. Rassias
Contributor
Editor
Subject
Language
eng
Summary
This handbook consists of seventeen chapters written by eminent scientists from the international mathematical community, who present important research works in the field of mathematical analysis and related subjects, particularly in the Ulam stability theory of functional equations. The book provides an insight into a large domain of research with emphasis to the discussion of several theories, methods and problems in approximation theory, analytic inequalities, functional analysis, computational algebra and applications. The notion of stability of functional equations has its origins with S. M. Ulam, who posed the fundamental problem for approximate homomorphisms in 1940 and with D. H. Hyers, Th. M. Rassias, who provided the first significant solutions for additive and linear mappings in 1941 and 1978, respectively. During the last decade the notion of stability of functional equations has evolved into a very active domain of mathematical research with several applications of interdisciplinary nature. The chapters of this handbook focus mainly on both old and recent developments on the equation of homomorphism for square symmetric groupoids, the linear and polynomial functional equations in a single variable, the Drygas functional equation on amenable semigroups, monomial functional equation, the Cauchy✹Jensen type mappings, differential equations and differential operators, operational equations and inclusions, generalized module left higher derivations, selections of set-valued mappings, D'Alembert's functional equation, characterizations of information measures, functional equations in restricted domains, as well as generalized functional stability and fixed point theory.--
Member of
Assigning source
Provided by Publisher
Image bit depth
0
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Rassias, Themistocles M.
  • SpringerLink (Online service)
Series statement
Springer Optimization and Its Applications,
Series volume
96
http://library.link/vocab/subjectName
  • Mathematics
  • Difference equations
  • Functional equations
  • Functional analysis
  • Special functions
  • Mathematical optimization
  • Physics
  • Applied mathematics
  • Engineering mathematics
Label
Handbook of Functional Equations : Stability Theory, edited by Themistocles M. Rassias, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-1-4939-1286-5
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
On Some Functional Equations (M. Adam, S. Czerwik, K. Krol) -- Remarks on Stability of the Equation of Homomorphism for Square Symmetric Groupoids (A. Bahyrycz, J. Brzdek) -- On Stability of the Linear and Polynomial Functional Equations in Single Variable (J. Brzdek, M. Piszczek) -- Selections of Set-Valued Maps Satisfying Some Inclusions and the Hyers-Ulam Stability (J. Brzdek, M. Piszczek) -- Generalized Ulam-Hyers Stability Results: A Fixed Point Approach (L. Caradiu) -- On a Wake Version of Hyers-Ulam Stability Theorem in Restricted Domain (J. Chung, J. Chang) -- On the Stability of Drygas Functional Equation on Amenable Semigroups (E. Elqorachi, Y. Manar, Th.M. Rassias) -- Stability of Quadratic and Drygas Functional Equations, with an Application for Solving an Alternative Quadratic Equation (G.L. Forti) -- A Functional Equation Having Monomials and its Stability (M.E. Gorgji, H. Khodaei, Th.M. Rassias) -- Some Functional Equations Related to the Characterizations of Information Measures and their Stability (E. Gselmann, G. Maksa) -- Approximate Cauchy-Jensen Type Mappings in Quasi-Ý Normed Spaces (H.-M. Kim, K.-W. Jun, E. Son) -- An AQCQ-Functional Equation in Matrix Paranormed Spaces (J.R. Lee, C. Park, Th.M. Rassias, D.Y. Shin) -- On the GEneralized Hyers-Ulam Stability of the Pexider Equation on Restricted Domains (Y. Manar, E. Elqorachi, Th.M. Rassias) -- Hyers-Ulam Stability of Some Differential Equations and Differential Operators (D. Popa, I. Rasa) -- Results and Problems in Ulam Stability of Operational Equations and Inclusions (I.A. Rus) -- Superstability of Generalized Module Left Higher Derivations on a Multi-Banach Module (T.L. Shateri, Z. Afshari) -- D'Alembert's Functional Equation and Superstability Problem in Hypergroups (D. Zeglami, A. Roukbi, Th.M. Rassias)
Control code
978-1-4939-1286-5
Dimensions
unknown
Extent
X, 396 pages
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9781493912865
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-1-4939-1286-5
Other physical details
1 online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)900364149
Label
Handbook of Functional Equations : Stability Theory, edited by Themistocles M. Rassias, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-1-4939-1286-5
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
On Some Functional Equations (M. Adam, S. Czerwik, K. Krol) -- Remarks on Stability of the Equation of Homomorphism for Square Symmetric Groupoids (A. Bahyrycz, J. Brzdek) -- On Stability of the Linear and Polynomial Functional Equations in Single Variable (J. Brzdek, M. Piszczek) -- Selections of Set-Valued Maps Satisfying Some Inclusions and the Hyers-Ulam Stability (J. Brzdek, M. Piszczek) -- Generalized Ulam-Hyers Stability Results: A Fixed Point Approach (L. Caradiu) -- On a Wake Version of Hyers-Ulam Stability Theorem in Restricted Domain (J. Chung, J. Chang) -- On the Stability of Drygas Functional Equation on Amenable Semigroups (E. Elqorachi, Y. Manar, Th.M. Rassias) -- Stability of Quadratic and Drygas Functional Equations, with an Application for Solving an Alternative Quadratic Equation (G.L. Forti) -- A Functional Equation Having Monomials and its Stability (M.E. Gorgji, H. Khodaei, Th.M. Rassias) -- Some Functional Equations Related to the Characterizations of Information Measures and their Stability (E. Gselmann, G. Maksa) -- Approximate Cauchy-Jensen Type Mappings in Quasi-Ý Normed Spaces (H.-M. Kim, K.-W. Jun, E. Son) -- An AQCQ-Functional Equation in Matrix Paranormed Spaces (J.R. Lee, C. Park, Th.M. Rassias, D.Y. Shin) -- On the GEneralized Hyers-Ulam Stability of the Pexider Equation on Restricted Domains (Y. Manar, E. Elqorachi, Th.M. Rassias) -- Hyers-Ulam Stability of Some Differential Equations and Differential Operators (D. Popa, I. Rasa) -- Results and Problems in Ulam Stability of Operational Equations and Inclusions (I.A. Rus) -- Superstability of Generalized Module Left Higher Derivations on a Multi-Banach Module (T.L. Shateri, Z. Afshari) -- D'Alembert's Functional Equation and Superstability Problem in Hypergroups (D. Zeglami, A. Roukbi, Th.M. Rassias)
Control code
978-1-4939-1286-5
Dimensions
unknown
Extent
X, 396 pages
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9781493912865
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-1-4939-1286-5
Other physical details
1 online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)900364149

Subject

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