Quadrivariate existence theorems and strong representability

In this paper, we give conditions under which we can compute the conjugate of a convex function on the product of two Frechet spaces defined in terms of another convex function on the product of two (possibly different) Frechet spaces. We use this result to give simple proofs of some (both old and new) results for Banach spaces, and deduce some (both old and new) stability results for strongly representable multifunctions. We take as our starting point a result on closed convex cones in the product of two Frechet spaces.Comment: 17 pages. Plain TeX (TeXshop

Banach SSD spaces and classes of monotone sets

In this paper, we unify the theory of SSD spaces and the theory of strongly representable sets, and we apply our results to the theory of the various classes of maximally monotone sets. In particular, we prove that type (ED), dense type, type (D), type (NI) and strongly representable are equivalent concepts and, consequently, that the known properties of strongly representable sets follow from known properties of sets of type (ED).Comment: 32 page

GOSSEZ'S SKEW LINEAR MAP AND ITS PATHOLOGICAL MAXIMALLY MONOTONE MULTIFUNCTIONS

In this note, we give a generalization of Gossez's example of a maximally monotone multifunction such that the closure of its range is not convex, using more elementary techniques than in Gossez's original papers. We also discuss some new properties of Gossez's skew linear operator and its adjoint. While most of this paper uses elementary functional analysis, we correlate our results with those obtained by using the Stone-Cech compactification of the integers.Comment: 8 page

Alliancing in Australia - No-Litigation Contracts: A Tautology?

A project alliance is a business strategy whereby client and commercial participants’ objectives are aligned. This paper takes an alliance project between public and private organizations in Queensland, Australia as a case study and reports the critical factors identified that influence the success of the alliance project. Alliancing is a system that provides a collaborative environment and a framework to adapt behavior to project objectives. It is about sharing resources and experiences, exposing the “hidden” risks. The case study suggests that leadership has a strong influence on the alliance climate. Commitment and action by the Project Alliance Board and, so, parent organizations have a strong impact on the team and alliance culture, indicating alliancing has a high chance of failure when there is inadequate support from top management. Like all relational contracting approaches, trust between alliance partners is important. This case study project takes a further step toward reinforcing the trust element by placing a No-Dispute clause in the alliance agreement. A review of the effects of the no-litigation clause upon the project team is presented. The writers conclude that without a positive approach to relationship management, a No-Dispute approach is impossible. Hence, they postulate that a “no-litigation” alliancing contract is essentially tautological, and go on to argue that a no-litigation contract cannot exist without the help of a clear relational vision, that leads to both soft and hard infrastructure to assist in decision making and relationship building