On the stability of the linear mapping in Banach spaces

Keywords

Banach space, Stability (learning theory), Mathematics, Pure mathematics, Computer science

References

• Sets, numbers, and universes : selected worksStanislaw M. Ulam, William A Beyer, Jan Mycielski — 1974
• Problems in modern mathematicsStanislaw M. Ulam — 1964
• On the Stability of the Linear Functional Equation.D. H. Hyers — 1941
• Fourier Analysis on Groups.Stephen Puckette, Walter Rudin — 1965

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• Linear Functional Equations in Banach Modules over a C*-AlgebraChun-Gil Park — 2003
• APPROXIMATION OF MIXED TYPE FUNCTIONAL EQUATIONS IN pBANACH SPACESS. Zolfaghari — 2010
• Stability of linear functional equations in Banach modulesChun-Gil Park — 2004
• SOLUTION AND STABILITY OF AN EXPONENTIAL TYPE FUNCTIONAL EQUATIONYoung-Whan Lee, Gwang Hui Kim, Jaeha Lee — 2008
• Approximate (α ,β ,γ )(α,β,γ)-derivation on random Lie C^*C∗-algebrasReza Saadati, Themistocles M. Rassias, Yeol Je Cho — 2015
• Orthogonality and quintic functional equationsChoonkil Park, Jian Cui, M‎. ‎Eshaghi Gordji — 2013
• Approximation of the Quadratic and Cubic Functional Equations in RN-spacesMadjid Eshaghi-Gordji, John Michael Rassias, Meysam Bavand Savadkouhi — 2009
• HYERS-ULAM-RASSIAS STABILITY OF A QUADRATIC FUNCTIONAL EQUATIONТибериу Триф — 2003
• THE FIXED POINT ALTERNATIVE THEOREM AND SET-VALUED FUNCTIONAL EQUATIONSAlireza Kamel Mirmostafaee, Mostafa Mahdavi — 2014
• ON THE STABILITY FOR CUBIC FUNCTIONAL EQUATION OF MIXED TYPEHark-Mahn Kim, Sheon-Young Kang, Ick-Soon Chang — 2015
• Hyperstability of the Cauchy equation on restricted domainsJanusz Brzdȩk — 2013
• STABILITY OF AN ADDITIVE-QUADRATIC FUNCTIONAL EQUATION OF TWO VARIABLES IN F-SPACESM‎. ‎Eshaghi Gordji — 2009
• On a Problem of G. Isac and Th. M. Rassias Concerning the Stability of MappingsP. Găvruţa — 2001
• ON THE STABILITY OF ORTHOGONALLY CUBIC FUNCTIONAL EQUATIONSChoonkil Baak, Mohammad Sal Moslehian — 2007
• Approximate (σ-τ)-contractibilityMohammad Sal Moslehian — 2006
• ON THE STABILITY OF INVOLUTIVE A-QUADRATIC MAPPINGSWon-Gil Park, Jae-Hyeong Bae — 2006
• A GENERALIZATION OF THE HYERS-ULAM-RASSIAS STABILITY OF A FUNCTIONAL EQUATION OF DAVISONKil-Woung Jun, ‎Soon-Mo Jung, Yang-Hi Lee — 2004
• ON THE STABILITY OF MAPPINGS IN BANACH ALGEBRASYong-Whan Lee — 2003
• Hyers–Ulam–Rassias stability of Cauchy–Jensen functional equation in RN-spacesHassan Azadi Kenary, H. Keshavarz — 2015

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