Non-Archimedean Banach space
New Type of Quadratic Functional Equation and Its Stability
... (iii) In the section IV, we estimated the stability of the Quadratic functional equation (1.4) in Non- Archimedean Banach Space using fixed Method and also the output of t[r] ...
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Spectral integration and spectral theory for non Archimedean Banach spaces
... complete non-Archimedean fields are considered such that operators may be ...of Banach spaces over non- Archimedean ...the Banach algebra ᏸ (E) of the continuous linear operators ...
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Stability Of Thequartic Double Centralizers And Quartic Multipliers On Non-Archimedean Banach Algebras
... for all x ∈ E . Moreover, if f (tx ) is continuous in t for each fixed x ∈ E , then T is linear. In 1950, T. Aoki [1] was the second author to treat this problem for additive mapping. Finally in 1978, Th. M. Rassias [24] ...
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Stochastic antiderivational equations on non Archimedean Banach spaces
... a Banach space Y over K such that it strongly and continuously depends on t ∈ B( K ,0, R), that is, A(t)y is continuous by t for each chosen y ∈ Y and A(t) ∈ L(Y ...
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Suzuki type theorems in triangular and non-Archimedean fuzzy metric spaces with application
... the Banach contraction principle, investigated the existence of weaker contractive conditions or extended previous results under relatively weak hy- potheses on the metric ...
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Stability of functional equations in \((n,\beta)\) normed spaces
... β)-normed space and non-Archime- dean (n, β)-normed space, then we study the Hyers-Ulam stability of the Cauchy func- tional equation and the Jensen functional equation in ...
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Hyers Ulam Rassias stability of the additive quadratic mappings in non Archimedean Banach spaces
... In , a generalized Hyers-Ulam stability problem for the quadratic functional equa- tion was proved by Skof [] for mappings f : X → Y , where X is a normed space and Y is a Banach space. In ...
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On nonlinear stability in various random normed spaces
... a non-Archimedean field, X a vector space over K and let ( Y , μ , T)be a non-Archimedean random Banach space over K under a t-norm T ∈ H ...
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Fixed Point Theorems for kg- Contractive Mappings in a Complete Strong Fuzzy Metric Space
... metric space was introduced by Kramosil and Micálek ...metric space due to ...metric space in the sense of George and ...complete non-Archimedean(strong) fuzzy metric space and ...
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Stochastic processes on non Archimedean Banach spaces
... commutative Banach algebra and A + denote the Gelfand space of A, that is, A + = Sp(A), where Sp(A) in another words spectrum of A was defined in [21, Chapter ...same space as in [16, 21]. Definition ...
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Vol 3, No 1 (2012)
... metric space in different ...metric space by generalizing the concept of probabilistic metric space to fuzzy ...metric space introduced by Kramosil and Michalek ...fuzzy Banach ...
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Non Archimedean Fuzzy M Metric Space and Fixed Point Theorems Endowed with a Reflexive Digraph
... established some results on merging the fixed point theory and graph theory. In 2008, Jachymski [9] studied the Banach contraction principle in metric space with graph and gave an interesting approach in ...
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Stability and superstability of generalized quadratic ternary derivations on non-Archimedean ternary Banach algebras: a fixed point approach
... a non-Archimedean generalized complete metric space and T : Ω ® Ω a strictly contrac- tive mapping (that is, d(T(x),T(y)) ≤ Ld(x, y) for all x, y Î T and a Lipschitz constant L < ...
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Weakly Semi-Compatible Maps and Fixed Points in Non-Archimedean Menger PM-Space
... For terminologies, notations and properties of Menger PM-space, refer to [1,8,15]. Definition 2.1. [2] Let X be a non-empty set and D be the set of all left-continuous distribution functions. An ordered ...
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Isomorphism of Groups of Operators on Hilbert Space
... In this research paper we have applied our mind to study isomorphism of groups of non singular operators. Here we have given some of the suitable examples of mappings which form isomorphism. A few theorems are ...
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Common Fixed Point Theorems in Non-Archimedean Menger PM Space
... metric space in which the metric whose value is non- negative real number is the probabilistic ...the non- Archimedean Probability metric space and explained basic topological ...
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Online Full Text
... (or non- commutative Banach spaces) developed by [2] [3] [5] [6] [7] [8] [9] [11] [12] [13]; bounded operator is replaced by completely bounded operator, isomorphism by complete isomorphism and ...
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Approximation of homomorphisms and derivations on Lie C∗ algebras via fixed point method
... example, Banach algebras [], random normed spaces [–], fuzzy normed spaces [, ], non-Archimedean Banach spaces [], non-Archimedean lattice random spaces [], inner ...
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Approximation of a generalized Euler-Lagrange type additive mapping on Lie $C^{\ast}$-algebras
... Euler-Lagrange type additive mapping. Najati and Park [11] investigated the generalized Hyers-Ulam stability of the functional equation (1.1) in Banach modules over a C ∗ -algebra. They also applied their results ...
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OCCASIONALLY WEAKLY COMPATIBLE MAPPINGS AND FIXED POINTS IN 2 NON-ARCHIMEDEAN MENGER PM SPACE
... on non-Archimedean Menger space has been given by Istratescu ...in non-Archimedean Menger ...in non-Archimedean PM-spaces and generalized the results of Istratescu ...
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