Convexity assumptions for fractional programming of variational type are relaxed to generalized invexity. The sufficient optimality conditions are employed to construct a mixed dual programming problem. It will involve the Wolfe type dual and Mond-Weir type dual as its special situations. Several duality theorems concerning weak, strong, and strict converse duality under the framework in mixed ...

ALTHOUGH case reports of painful, red extremities date back at least to 1834,1 Mitchell first analyzed the symptoms in 1878 and suggested the term "erythromelalgia."2 During the ensuing 55 years, reparts of this entity appeared so sporadically that, in 1933, Lewis 3 considered that the term lacked precise definition and should be abandoned. In 1938, however, Smith and Allen4 reported a series o...

Within recent years serious attempts have been made to classify and differentiate the various forms of peripheral arterial disease and to clarify the confusion thatexisted in regard to the terminology and pathology of these conditions. In accordance with the opinions of modern workers, Dr. Samuels has given a simple classification: there are two main forms of peripheral arterial disturbance?(1)...

The original description of erythromelalgia of Mitchell has been separated into three distinct disease entities of aspirin responsive erythromelalgia in thrombocythemia, incurable congenital dominant primary erythermalgia (PE), and aspirin resistant secondary erthermalgia. Aspirin responsive platelet-mediated erythromelalgic and thrombotic processes in the end-arterial circulation of toes or fi...