A global optimality result using Geraghty type contraction

SOME FIXED POINT RESULTS FOR ADMISSIBLE GERAGHTY CONTRACTION TYPE MAPPINGS IN FUZZY METRIC SPACES

In this paper, we introduce the notions of fuzzy $alpha$-Geraghty contraction type mapping and fuzzy $beta$-$varphi$-contractive mapping and establish some interesting results on the existence and uniqueness of fixed points for these two types of mappings in the setting of fuzzy metric spaces and non-Archimedean fuzzy metric spaces. The main results of our work generalize and extend some known ...

A RESULT ON FIXED POINTS FOR WEAKLY QUASI-CONTRACTION MAPS IN METRIC SPACES

In this paper, we give a new fixed point theorem forWeakly quasi-contraction maps in metric spaces. Our results extend and improve some fixed point and theorems in literature.    

Resource allocation in organizations: an optimality result

This paper studies the problem of constrained resource allocation across multiple tasks, stages or divisions in an organization. The allocations suggested by balancing marginal resource productivity, and by balancing processing speed (or eliminating bottlemecks), are compared to the optimal organizational allocation. It is shown, under fairly general assumptions, that the former two approaches ...

Optimality-based bound contraction with multiparametric disaggregation for the global optimization of mixed-integer bilinear problems

We address nonconvex mixed-integer bilinear problems where the main challenge is the computation of a tight upper bound for the objective function to be maximized. This can be obtained by using the recently developed concept of multiparametric disaggregation following the solution of a mixed-integer linear relaxation of the bilinear problem. Besides showing that it can provide better bounds tha...

CHRISTINE GERAGHTY The Continuous Serial — A Definition