‎In this paper we first obtain the non-Riemannian Randers metrics of Douglas type on two-step homogeneous nilmanifolds of dimension five‎. ‎Then we explicitly give the flag curvature formulae and the $S$-curvature formulae for the Randers metrics of Douglas type on these spaces‎. ‎Moreover‎, ‎we prove that the only simply connected five-dimensional two-step homogeneous Randers nilmanifolds of D...

First a general framework for a hybrid super-relaxed proximal point algorithm based on the notion of H-maximal monotonicity is introduced, and then the convergence analysis for solving a general class of nonlinear inclusion problems is explored. The framework developed in this communication is quite suitable to generalize first-order evolution equations based on the generalized nonlinear Yosida...

This paper follows Jones (2005) in his approach to deriving the global production function from microfoundations. His framework is generalized by allowing for dependence between the Pareto distributions of laborand capital-augmenting developments. Using the Clayton copula family to capture this dependence, we derive a “Clayton-Pareto” class of production functions that nests both the Cobb-Dougl...

This paper follows Jones (2005) in his approach to deriving the global production function from microfoundations. His framework is generalized by allowing for dependence between the Pareto distributions of laborand capital-augmenting developments. Using the Clayton copula family to capture this dependence, we derive a “Clayton-Pareto” class of production functions that nests both the Cobb-Dougl...

This Conference Paper is brought to you for free and open access by the Psychology at ODU Digital Commons. It has been accepted for inclusion in Psychology Faculty Publications by an authorized administrator of ODU Digital Commons. For more information, please contact [email protected]. Repository Citation Ash, Ivan K. and Comer, Clinton S., "The Role of Expectation and Memory in the Hinds...

We study a conical extension of averaged nonexpansive operators and the role it plays in convergence analysis fixed point algorithms. Various properties conically are systematically investigated, particular, stability under relaxations, convex combinations compositions. derive averagedness resolvents generalized monotone operators. These then utilized order to analyze proximal algorithm, forwar...

In two-dimensional Yang-Mills and generalized Yang-Mills theories for large gauge groups, there is a dominant representation determining the thermodynamic limit of the system. This representation is characterized by a density the value of which should everywhere be between zero and one. This density itself is determined through a saddle-point analysis. For some values of the parameter space, th...