We investigate fixed points for p cyclic maps by introducing a new notion of p–cyclic infimum summing and generalized best proximity point maps. The idea generalizes some results about in order to widen the class sets which we can ensure existence uniqueness points. replacement classical notions distance between consecutive set arises from well-known group traveling salesman problem presents di...

The notions of ultrametric distances and cyclic valuations appear when the set of values of the distance map is a cyclically ordered set. These structures can be described as subspaces of cartesian products. In this paper we characterize existentially equivalence between cyclically ultrametric spaces, as well as existentially equivalence between generalized ultrametric spaces. We also describe ...

where capG(S, S̄) is the total weight of the edges crossing from S to S̄ = V − S. We show that the minimum generalized eigenvalue λ(LG, LH) of the pair of Laplacians LG and LH satisfies λ(LG, LH) ≥ φ(G,H)φ(G)/8, where φ(G) is the usual conductance of G. A generalized cut that meets this bound can be obtained from the generalized eigenvector corresponding to λ(LG, LH). The inequality complements a...

In this article, we extend work of Herr from the case cyclotomic ( φ , Γ ) $(\varphi ,\Gamma )$ -modules to general Lubin–Tate -modules. particular, define generalized φ- and ψ-Herr complexes, which calculate Galois cohomology, when applied étale attached coefficients.

In this paper,  we introduce the notion of  generalized multivalued  $F$- weak contraction and we prove some fixed point theorems related to introduced  contraction for multivalued mapping in complete metric spaces.  Our results extend and improve the results announced by many others with less hypothesis. Also, we give some illustrative examples.

Dynamic doxastic logic concerns an agent who inhabits a world and is able to form theories about it. In particular there are three types of doxastic action of which he is capable: expanding his beliefs by accepting a proposition φ without modifying the resulting set of beliefs; revising his beliefs by accepting a proposition φ and modifying the resulting set of beliefs; and contracting his beli...

We prove that the automorphism group of every infinitely ended finitely generated is acylindrically hyperbolic. In particular Aut ( F n ) hyperbolic for ⩾ 2 . More generally, if G a which not virtually cyclic, and relative to finite collection P proper subgroups, then , As consequence, free-by-cyclic ⋊ φ Z only has infinite order in Out

The generalized state space of a commutative C-algebra, denoted SH(C(X)), is the set of positive unital maps from C(X) to the algebra B(H) of bounded linear operators on a Hilbert space H. C-convexity is one of several non-commutative analogs of convexity which have been discussed in this context. In this paper we show that a C-extreme point of SH(C(X)) satisfies a certain spectral condition on...

For abstract operator spaces V and W , a linear map φ : V → W provides another linear map φn : Mn(A) → Mn(B) defined by φn((ai,j)) = (φ(ai,j)) where n = 1, 2, ···. If a sequence {‖φn‖} ∞ n=1 belongs to l , then φ is said to be a completely bounded map. W. Stinespring [7] and W. Arveson [1] started operator space theory related to complete boundedness for a map φ : S → B(K) where S ⊂ B(H) and H ...

Following Malcev [5], we will call a subgroup M of a group G finitely separable if for any element g ∈ G, not belonging to M, there exists a homomorphism φ of group G onto some finite group X such that gφ / ∈Mφ. This is equivalent to the statement that for any element g ∈ G \M, there exists a normal subgroup N of finite index in G such that g / ∈MN . A group G is subgroup separable if each of i...