The English prefixes near-, pseudo- and quasi- are privative, in that whatever essential property their morphological base expresses is not strictly possessed by an entity characterized as near-/pseudo-/quasi-X. However, we claim this meaning precise enough hypothesize near- approximative meaning, whereas ‘disproximative’, expressing the idea of ‘falling short’ a standard. Distributional-semant...

Let TS be the set of all crossing-free straight line spanning trees of a planar n-point set S. Consider the graph TS where two members T and T ′ of TS are adjacent if T intersects T ′ only in points of S or in common edges. We prove that the diameter of TS is O(log k), where k denotes the number of convex layers of S. Based on this result, we show that the flip graph PS of pseudo-triangulations...

For each invariant polynomial ?, we construct a global CR via the renormalized characteristic form of Cheng–Yau metric on strictly pseudoconvex domain. When degree ? is 0, agrees with total Q?-curvature. equal to dimension, primed pseudo-hermitian I?? which integrates corresponding invariant. These are generalizations I?-curvature five-manifolds, introduced by Case–Gover.

Abstract In this paper, we introduce an new iterative algorithm for finding an element of the set of common fixed points for a fanite familiy of multivalued k-strictly pseudo contractive mappings in q-uniformly smooth real Banach spaces. Further, we prove strong convergence theorems of the iterative sequence generated by the proposed algorithm under suitable conditions. Our results extend and i...

In this paper, we establish a weak convergence theorem and some strong convergence theorems of an explicit iteration process for a finite family of strictly asymptotically pseudo-contractive mappings in the intermediate sense and also establish a strong convergence theorem by a new hybrid method for above said iteration scheme and mappings in the setting of Hilbert spaces. AMS Mathematics Subje...

In this paper, we extend the class of strongly $ E $-preinvex and $-invex functions to quasi $-preinvex, pseudo functions. Some non-trivial suitable examples have been constructed in support our definitions. Several interesting properties relationships these are discussed. Furthermore, show application results, consider a non-linear programming problem that local minimum point is also strictly ...

In this paper, we introduce a new iterative scheme that converges strongly to a common fixed point of a countable family of strictly pseudo-contractive mappings in a real Hilbert space which is also a solution of variational inequality problem related to quadratic minimization problems. Our results extend ones of Yao et al. [Math. and Comput. Modell. 52(9-10):1697-1705, 2010], Gu et al. [J. App...

Suppose X = Lp (or Ip), p > 2, and K is a nonempty closed convex bounded subset of X. Suppose T: K —* K is a Lipschitzian strictly pseudo-contractive mapping of K into itself. Let {Cn}^_0 be a real sequence satisfying: (i) 0 < C„ < 1 for all n > 1, (") Z)rT=l Cn = °°> and Then the iteration process, zn G K, Zn+l = (1 — Cn)xn + CnTXn for n > 1, converges strongly to a fixed point of T in K.

We establish inequalities for the eigenvalues of the sub-Laplace operator associated with a pseudo-Hermitian structure on a strictly pseudoconvex CR manifold. Our inequalities extend those obtained by Niu and Zhang [26] for the Dirichlet eigenvalues of the sub-Laplacian on a bounded domain in the Heisenberg group and are in the spirit of the well known Payne-Pólya-Weinberger and Yang universal ...