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[PDF] Top 20 Fixed Points, Inner Product Spaces, and Functional Equations

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Fixed Points, Inner Product Spaces, and Functional Equations

Fixed Points, Inner Product Spaces, and Functional Equations

... quadratic functional equation was proved by Skof 6 for mappings f : X → Y , where X is a normed space and Y is a Banach ...quadratic functional equation and of two functional equations of ... See full document

14

Fixed points of dynamic processes of set-valued F-contractions and application to functional equations

Fixed points of dynamic processes of set-valued F-contractions and application to functional equations

... In the literature one can find some interesting papers concerning F-contractions; e.g., in [] the authors investigated F-contractions of Hardy-Rogers type. Some of the articles present the application of F-contractions ... See full document

9

Fixed points and stability of functional equations in fuzzy ternary Banach algebras

Fixed points and stability of functional equations in fuzzy ternary Banach algebras

... Therefore, equation (.) is a generalized form of the Cauchy-Jensen additive equation and thus every solution of equation (.) may be analogously called the general (m, n)-Cauchy- Jensen additive. For the case m = , ... See full document

10

Fixed Points and Stability for Functional Equations in Probabilistic Metric and Random Normed Spaces

Fixed Points and Stability for Functional Equations in Probabilistic Metric and Random Normed Spaces

... for functional equations defined by mappings with values in probabilistic metric spaces and in random normed spaces, obtained by using the fixed point alternative, which is now ... See full document

18

A Functional equation related to inner product spaces in non archimedean normed spaces

A Functional equation related to inner product spaces in non archimedean normed spaces

... of functional equations, the stability phenomenon that was proved by Rassias is called Hyers-Ulam stability or Hyers-Ulam-Rassias stability of functional ... See full document

12

On the Torricellian Point in Inner Product Spaces

On the Torricellian Point in Inner Product Spaces

... three fixed points in the plane, posed and solved by Torricelli in the 17th century, is well ...the fixed triangle, if the measure of the corresponding angle is greater than 2π 3 , or the unique ... See full document

10

A functional equation related to inner product spaces in non Archimedean L random normed spaces

A functional equation related to inner product spaces in non Archimedean L random normed spaces

... of functional analysis concerning the Ulam stability problem of functional equations is as follows: When is it true that a mapping satisfying a functional equation approximately must be close ... See full document

16

Fixed Points in Functional Inequalities

Fixed Points in Functional Inequalities

... The stability problem of functional equations originated from a question of Ulam 1 concerning the stability of group homomorphisms. Hyers 2 gave a first affirmative partial answer to the question of Ulam for ... See full document

8

Fixed Points and Stability of the Cauchy Functional Equation in -Algebras

Fixed Points and Stability of the Cauchy Functional Equation in -Algebras

... of functional equations originated from a question of Ulam 1 concerning the stability of group ...several functional equations have been extensively investigated by a number of authors, and ... See full document

14

Torricellian points in normed linear spaces

Torricellian points in normed linear spaces

... Torricellian points in the settings of normed spaces ...Torricellian functional asso- ciated to a set of distinct points A, which calculates the sum of distances of a point x to the ... See full document

15

Vol 3, No 7 (2012)

Vol 3, No 7 (2012)

... finite product of metric spaces (see theorem M ...contractive fixed point theory (see for instance [1], [2], [3], [4], [10], [14], [15], [19], ...type fixed point theorem are applicable in ... See full document

6

Fractional Differential Equations with Initial Conditions at Inner Points in Banach Spaces

Fractional Differential Equations with Initial Conditions at Inner Points in Banach Spaces

... differential equations with the Caputo fractional derivatives in Banach ...at inner points for the cases that the nonlinear parts are Lipschitz and non-Lip- schitz, ...Darbo-Sadovskii fixed ... See full document

8

Cauchy–Bunyakovsky–Schwarz type inequalities related to Möbius operations

Cauchy–Bunyakovsky–Schwarz type inequalities related to Möbius operations

... In this article, we show some further extensions of CBS type inequality (1.1). One of them gives an affirmative and even sharper answer to Question 1.10. Another extension is related to both the Möbius addition and Möbius ... See full document

18

Fixed points in countably Hilbert spaces

Fixed points in countably Hilbert spaces

... fixed points of nonlinear mappings in Hilbert spaces is of paramount importance (see, ...Hilbert spaces, we study iterative methods for approximating fixed points of ... See full document

13

Urysohn integral equations approach by common fixed points in complex valued metric spaces

Urysohn integral equations approach by common fixed points in complex valued metric spaces

... metric spaces has played a vital role in many branches of pure and applied sci- ...metric spaces in mathematics, biology, medicine, physics and computer science (see ...metric spaces to vector-valued ... See full document

14

Lie ternary $(\sigma,\tau,\xi)$--derivations on Banach ternary algebras

Lie ternary $(\sigma,\tau,\xi)$--derivations on Banach ternary algebras

... ternary product, [ ]: A × A × A → A such that [[abc]de] = [a[bcd]e] = [ab[cde]] for all a, b, c, d, e ∈ ...ternary product making A into a ternary algebra which will be called ... See full document

13

Multi \(C^{*}\) ternary algebras and applications

Multi \(C^{*}\) ternary algebras and applications

... 16. Hyers, DH: On the stability of the linear functional equation. Proc. Natl. Acad. Sci. USA 27, 222-224 (1941) 17. Rassias, TM: On the stability of the linear mapping in Banach spaces. Proc. Am. Math. ... See full document

21

Traceable  Inner  Product  Functional  Encryption

Traceable Inner Product Functional Encryption

... We eventually provide a construction for traceable inner-product functional encryption with black-box confirmation. Our construction is semantically secure in a more general setting than in IPFE as ... See full document

17

An algebraic characterization of complete inner product spaces

An algebraic characterization of complete inner product spaces

... Comylete inner product spaces, an algebraic characterization, hermitian projection, Kakutani-Mackey ’s heorem.. 7980 ATL’ SUBJ{!CT CLASSIFICATION CODE.[r] ... See full document

7

On the semi inner product in locally convex spaces

On the semi inner product in locally convex spaces

... [9,11 ] and it plays an important role in the theory of accretive operators and dissipative operators, differential equations, linear and nonlinear semigroups in Banach spaces and Banach[r] ... See full document

6

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