We study properties of the solutions to a parametrized constrained optimization problem in Hilbert spaces. A special operator is studied which is of importance in economic theory; sufficient conditions are given for its existence, symmetry, and negative semidefiniteness. The techniques used are...

We study properties of the solutions to a parametrized constrained optimization problem in Hilbert spaces. A special operator is studied which is of importance in economic theory; sufficient conditions are given for its existence, symmetry, and negative semidefiniteness. The techniques used are...

Some writers on Islamic finance have recently resuscitated the old ‘no risk, no gain’ precept from the earlier literature in the wake of 2007-2008 financial crisis. They argue that the basic reason for the recurrence of such crises is the conventional interest-based financial system that...

Some writers on Islamic finance have recently resuscitated the old ‘no risk, no gain’ precept from the earlier literature in the wake of 2007-2008 financial crisis. They argue that the basic reason for the recurrence of such crises is the conventional interest-based financial system that...

Some writers on Islamic finance have recently resuscitated the old ‘no risk, no gain’ precept from the earlier literature in the wake of 2007-2008 financial crisis. They argue that the basic reason for the recurrence of such crises is the conventional interest-based financial system that...

Some recent writings on Islamic finance have resuscitated the old‘no risk, no gain’ precept from the earlier literature in the wake of current financial crisis. They argue that the basic reason for the recurrence of such crisesis the conventional interest-based financial system that rests...

Some recent writings on Islamic finance have resuscitated the old ‘no risk, no gain’ precept from the earlier literature in the wake of current financial crisis. They argue that the basic reason for the recurrence of such crises is the conventional interest-based financial system that rests...

The study of the local characteristics of equilibrium positions generated by the constrained maximization of some criterion functions (such as utility, profit, cost, etc.) goes back to Antonelli's paper [2] of 1886. Certain local properties have been proved to be particularly fruitful for...

90 Classical problems in economics are concerned with the solutions of several simultaneous nonlinear optimization problems, one for each consumer or producer, all facing constraints posed by the scarcity of resources. Often their interests conflict, and it is generally impossible to find a...

A problem of existence and characterization of solutions of optimal growth models in many sector economies is studied The social utility to be optimized is a generalized form of a preference depending additively on consumption at the different dates of the planning period. The optimization b...