real normed linear space
An introduction to 2 fuzzy n normed linear spaces and a new perspective to the Mazur Ulam problem
... a real normed linear space into a strictly convex real normed linear space is ...a real finite dimensional vector space into itself and ...
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Mazur Ulam theorem under weaker conditions in the framework of 2 fuzzy 2 normed linear spaces
... a real finite dimensional vector space into itself and Väisälä [] gave a short and simple proof of the Mazur-Ulam ...a linear -normed ...a linear n-normed space, that ...
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Fuzzy n normed linear space
... • , • is called a 2-norm on X and the pair (X, • , • ) is called a linear 2-normed space. Definition 2.2 [11]. Let n ∈ N (natural numbers) and let X be a real vector space of di- ...
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Some fixed point results in fuzzy cone normed linear space
... metric space in many ways. One of them is the notion of cone metric space introduced by Long-Guang et ...a real Banach ...cone normed linear space setting can also play an ...
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An Orlicz extension of difference sequences on real linear n normed spaces
... In this paper, we present an extension of some classes of difference sequences by considering them in a base space X, a real linear n-normed space via a sequence of Orlicz functions. We ...
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A New Notion for Fuzzy Soft Normed Linear Space
... In real life, most of the problems are uncertain or imprecise. This is due to the lack of information required. In order to deal such situations Zadeh [7] in 1965 introduced fuzzy sets. In fuzzy set theory thereis ...
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On Fuzzy Ward Continuity in an Intuitionistic 2-Fuzzy 2-Normed Linear Space
... in linear spaces. The concept of 2-normed space was developed by Gahler in the middle of 1960’s ...classical normed spaces and Banach spaces ...of real functions and ward compactness of ...
7
The Sugeno integral and functional representation of the monad of lattice-valued capacities
... normalized linear functionals on the Banach space of all continuous real-valued ...non-additive real-valued ...the space of regular capacities on a compact Hausdorff topological ...the ...
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Projections in a normed linear space and a generalization of the pseudo inverse
... The concept of a ''projection function" in a finite-dimensional real or comple::r norrned line.ar space H the function PM 1rhich carries every element int o the closest eleruen·t of a gi[r] ...
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On Multi Normed Linear Spaces
... Functional analysis is an important branch of Mathematics and it has many applications in Mathematics and Sciences. Metric space is the beginning of functional analysis and it has several applications in many ...
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Generalizations of the Lax-Milgram Theorem
... a linear and a nonlinear generalization of the Lax-Milgram ...a real-valued function defined on the product of a reflexive Banach space and a normed space to represent all bounded ...
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Banach Limits Revisited
... unit normed real linear space. Order unit normed linear spaces are a special type of regularly ordered normed linear spaces and therefore the first section is a ...
15
Chapter 5. Banach Spaces
... complex) normed lin- ear space is a Banach space, that every linear operator on a finite-dimensional space is continuous, and that all norms on a finite-dimensional space are ...
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δ- Best Approximation in 2-Normed Almost Linear Space
... like linear 2-normed space.The notion of an almost linear space (als) was introduced by ...the real field ...a linear 2-normed ...almost linear spaceand established ...
8
A contractive mappings on fuzzy normed linear spaces
... In this paper, we use the definition of fuzzy normed spaces given by Bag and Samanta and provide four types of fuzzy versions of contraction. We show that these mappings necessarily have unique fixed points in ...
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Stability results in ℒ fuzzy normed spaces for a cubic functional equation
... On the other hand, the study of stability problems for a functional equation is related to a question of Ulam [], concerning the stability of group homomorphisms, affirma- tively answered for Banach spaces by Hyers []. ...
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On locally convex probabilistic normed spaces
... Probabilistic normed spaces (briefly, PN spaces) were introduced by Šerstnev [] by means of a definition that was closely modeled in the theory of normed ...PN space given Alsina, Schweizer, and Sklar ...
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Fuzzy boundedness and contractiveness on intuitionistic 2-fuzzy 2-normed linear space
... a linear space has been introduced and developed by Gahler ...fuzzy linear space in a different way. The notion of 2-fuzzy 2-normed linear space of the set of all fuzzy ...
9
Approximate Euler Lagrange quadratic mappings
... In this article, we generalize the functional equation (3) to a more general form f (kx + y) + f (kx − y) = kf (x + y) + kf (x − y) + 2k(k − 1)f (x) − 2(k − 1)f (y) (4) and investigate the Hyers-Ulam stability of the ...
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“Some Results on the Dual Space of Normed Almost Linear Space”
... concept normed almost linear space which generalizes normed linear ...the normed almost linear space is a good concept the notion of a dual space of ...
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