Abstract The aim of this paper to present some weak and strong convergence results for countable family non-self mappings. More precisely, we employ the Mann–Dotson’s algorithm approximate common fixed points a k -strict Pseudocontractive mappings in q -uniformly smooth Banach spaces.

In this paper we study the backward stability of running a stable eigenstructure solver on pencil $$S(\lambda )$$ that is strong linearization rational matrix $$R(\lambda expressed in form )=D(\lambda )+ C(\lambda I_\ell -A)^{-1}B$$ , where $$D(\lambda polynomial and $$C(\lambda minimal state-space realization. We consider family block Kronecker linearizations which have following structure $$\...

The toughness $t(G)$ of a connected graph $G$ is defined as $t(G)=\min\{\frac{|S|}{c(G-S)}\}$, in which the minimum taken over all proper subsets $S\subset V(G)$ such that $c(G-S)>1$, where $c(G-S)$ denotes number components $G-S$. Let $\lambda$ denote second largest absolute eigenvalue adjacency matrix graph. For any $d$-regular $G$, it has been shown by Alon $t(G)>\frac{1}{3}(\frac{d^2}{d\lam...

The main observational equivalences of the untyped lambda-calculus have been characterized in terms of extensional equalities between B\"ohm trees. It is well known that the lambda-theory H*, arising by taking as observables the head normal forms, equates two lambda-terms whenever their B\"ohm trees are equal up to countably many possibly infinite eta-expansions. Similarly, two lambda-terms are...

A pseudo-primitive word with respect to an antimorphic involution θ is a word which cannot be written as a catenation of occurrences of a strictly shorter word t and θ(t). Properties of pseudo-primitive words are investigated in this paper. These properties link pseudo-primitive words with essential notions in combinatorics on words such as primitive words, (pseudo)-palindromes, and (pseudo)-co...

We introduce Suzuki type P-contractive mappings by taking into account the concepts of contractive, P-contractive, and contractive mappings. Then, for such on compact metric spaces, we present a fixed point theorem that is more general than well-known Edelstein theorem.

We study pseudo Yang-Mills fields on a compact strictly pseudoconvex CR manifold M , i.e. the critical points of the functional PYM(D) = 1 2 ∫ M ‖πHR‖θ∧(dθ), where D is a connection in a Hermitian CR-holomorphic vector bundle (E, h) → M . Let Ω = {φ < 0} ⊂ C be a smoothly bounded strictly pseuodoconvex domain and g the Bergman metric on Ω. We show that boundary valuesDb of Yang-Mills fieldsD on...

We show that any contact form whose Fefferman metric admits a nonzero parallel vector field is pseudo-Einstein of constant pseudohermitian scalar curvature. As an application we compute the curvature groups H(C(M),Γ) of the Fefferman space C(M) of a strictly pseudoconvex real hypersurface M ⊂ C. 1. Statement of results Let M be a strictly pseudoconvex CR manifold of CR dimension n and θ a conta...