In this paper, we prove some fixed point results in the setting of a Banach space via cyclic \((\alpha ,\beta ,z)\)-admissible mapping imbedded simulation function. Our extend and generalize well known existing literature.

The purpose of this work is to investigate the existence of fixed points of some mappings in fixed point theory by combining some important concepts which are F-weak contractions, multivalued mappings, integral transformations and α-admissible mappings. In fixed point theory, it is important to find fixed points of some classess under F- or F-weak contractions. Also multivalued mappings is the ...

A critique of the proposed encryption scheme based on the DLP γ = αβ is provided. It is described how a plaintext can be obtained from a valid ciphertext by computing a single traditional discrete logarithm in a cyclic group. Furthermore, it is shown that the proposed encryption scheme is in fact equivalent to the ElGamal encryption scheme.

A critique of the proposed encryption scheme based on the DLP γ = αβ is provided. It is described how a plaintext can be obtained from a valid ciphertext by computing a single traditional discrete logarithm in a cyclic group. Furthermore, it is shown that the proposed encryption scheme is in fact equivalent to the ElGamal encryption scheme.

In this paper, we prove the existence and uniqueness of fixed points for cyclic (α,β)-admissible type F-contraction and F−weak contraction under the setting of modular spaces, where the modular is convex and satisfying the ∆2-condition. Later, we prove some periodic point results for self-mappings on a modular space. We also give some examples to s...

Four different types (α4, α'2, (αβ)2 and ϵ2) of RNA-splicing endonucleases (EndAs) for RNA processing are known to exist in the Archaea. Only the (αβ)2 and ϵ2 types can cleave non-canonical introns in precursor (pre)-tRNA. Both enzyme types possess an insert associated with a specific loop, allowing broad substrate specificity in the catalytic α units. Here, the hyperthermophilic euryarchaeon M...

By a space we shall mean a measurable space, i.e. an abstract set together with a <r-ring of subsets, called measurable sets, whose union is the whole space. The structure of a space will be the <r-ring of its measurable subsets. A measurable transformation from one space to another is a mapping such that the inverse image of every measurable set is measurable. Let X and F be spaces, F a set of...

Let α and β be two algebraic numbers such that deg(α)=m deg(β)=p, where p is a prime number not dividing m. This research focused on the following objectives: to discover new conditions under which deg(αβ)=mp; determine complete list of values deg(αβ) can take. With respect first question, we find if minimal polynomial over Q neither xp+c nor x2+cx+c2, then necessarily deg(αβ)=mp αβ primitive e...

A Lie-admissible algebra gives a Lie algebra by anticommutativity. In this work we describe remarkable types of Lie-admissible algebras such as Vinberg algebras, pre-Lie algebras or Lie algebras. We compute the corresponding binary quadratic operads and study their duality. Considering Lie algebras as Lie-admissible algebras, we can define for each Lie algebra a cohomology with values in an Lie...