Titlebook: Nonlinear Analysis and Variational Problems; In Honor of George I Panos M. Pardalos,Themistocles M. Rassias,Akhtar A Book 2010 Springer-Ver

aqueduct

Isometrics in Non-Archimedean Strictly Convex and Strictly 2-Convex 2-Normed SpacesIn this paper, we present a Mazur–Ulam type theorem in non-Archimedean strictly convex 2-normed spaces and present some properties of mappings on non-Archimedean strictly 2-convex 2-normed spaces.

捏造

The Perturbed Median Principle for Integral Inequalities with ApplicationsIn this paper, a perturbed version of the median principle introduced by the author in [1] is developed. Applications for various Riemann–Stieltjes integral and Lebesgue integral inequalities are also provided.

戰(zhàn)勝

Stability of a Mixed Type Additive, Quadratic, Cubic and Quartic Functional EquationWe find the general solution of the functional equation . in the context of linear spaces. We prove that if a mapping . from a linear space . into a Banach space . satisfies .(0)=0 and . where ε > 0, then there exist a unique additive mapping . a unique quadratic mapping . a unique cubic mapping . and a unique quartic mapping . such that

疏遠(yuǎn)天際

The Stability and Asymptotic Behavior of Quadratic Mappings on Restricted DomainsIn this paper, we investigate the generalized Hyers–Ulam stability problem for quadratic functional equations in several variables, and then obtain an asymptotic behavior of quadratic mappings on restricted domains.

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sultry

Fixed Points and Stability of the Cauchy Functional Equation in Lie , ,-AlgebrasUsing the fixed point method, we prove the generalized Hyers–Ulam stability of homomorphisms in ..-algebras and Lie ..-algebras and of derivations on ..-algebras and Lie ..-algebras for the 3-variable Cauchy functional equation.

Foregery

Kidnap

Compression–Expansion Critical Point Theorems in Conical ShellsWe present compression and expansion type critical point theorems in a conical shell of a Hilbert space identified to its dual. The notion of linking is involved and the compression–expansion boundary conditions are expressed with respect to only one norm.

胎兒

Gronwall Lemma Approach to the Hyers–Ulam–Rassias Stability of an Integral EquationThe aim of this paper is to give some Hyers–Ulam–Rassias stability results for Volterra and Fredholm integral equations. To do these, we shall use some Gronwall lemmas.

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