In this paper we introduce new subclasses of p-valent starlike, pvalent convex, p-valent close-to-convex and p-valent quasi-convex meromorphic functions and investigate some inclusion properties of these subclasses and investigate various inclusion properties and integral-preserving properties for the p-valent meromorphic function classes.

In this paper, we introduce some new subclasses of analytic functions related to starlike, convex, close-to-convex and quasi-convex functions defined by using a generalized operator. Inclusion relationships for these subclasses are established. Also, we introduce some integral-preserving properties. Moreover, connections of the results presented here with those obtained in earlier works are poi...

A convex cone metric space is a cone metric space with a convex structure. In this paper, we extend an Ishikawa type iterative scheme with errors to approximate a common fixed point of two sequences of uniformly quasi-Lipschitzian mappings to convex cone metric spaces. Our result generalizes Theorem 2 in [1].

Motivated by the recent work on symmetric analytic functions using concept of Faber polynomials, this article introduces and studies two new subclasses bi-close-to-convex quasi-close-to-convex associated with Janowski functions. By polynomial expansion method, it determines general coefficient bounds for belonging to these classes. It also finds initial coefficients bi-quasi-convex Some known c...

A game on a convex geometry is a real-valued function de®ned on the family L of the closed sets of a closure operator which satis®es the ®nite Minkowski±Krein±Milman property. If L is the Boolean algebra 2 N then we obtain a n-person cooperative game. We will introduce convex and quasi-convex games on convex geometries and we will study some properties of the core and the Weber set of these games.

From a fixed point theorem for compact acyclic maps defined on admissible convex sets in the sense of Klee, we first deduce collectively fixed point theorems, intersection theorems for sets with convex sections, and quasi-equilibrium theorems. These quasi-equilibrium theorems are applied to give simple and unified proofs of the known variational inequalities of the Hartman-Stampacchia-Browder t...

We review the classical theory of static and quasi-static plasticity in an abstract framework of convex analysis. It can be shown that the extended use of orthogonal projections onto closed convex sets simplifies the analysis substantially. We present new characterizations of the primal problem in plasticity. The abstract setting is applied to problems in perfect plasticity and to plasticity wi...

where g:(0, 1)-»X is an essentially bounded strongly measurable function. In this paper we examine analogues of the Radon-Nikodym Property for quasiBanach spaces. If 0 < p < 1, there are several possible ways of defining "differentiable" operators on Lp, but they inevitably lead to the conclusion that the only differentiable operator is zero. For example, a differentiable operator on L\ has the...

Complex surface structures have stimulated a great deal of interests due to many potential applications in surface devices. However, in the fabrication of complex surface micro-/nanostructures, there are always great challenges in precise design, or good controllability, or low cost, or high throughput. Here, we present a route for the accurate design and highly controllable fabrication of surf...

Let M be a hyperbolic 3–manifold, namely a complete 3–dimensional Riemannian manifold of constant curvature −1, such that the fundamental group π1 (M) is finitely generated. A fundamental subset of M is its convex core CM , defined as the smallest non-empty closed convex subset ofM . The boundary ∂CM of this convex core is a surface of finite topological type, and its geometry was described by ...