Some new equilibrium existence theorems for pair of abstract economies

A. K. Dubey; Rita Shukla; R.P. Dubey

A. K. Dubey Department of Mathematics, Bhilai Institute of Technology, Bhilai House, Durg, Chhattisgarh 491001, India
Rita Shukla Department of Mathematics, Shri Shankracharya College of Engineering and Technology, Bhilai, Chhattisgarh 490020, India
R.P. Dubey Department of Mathematics, Dr. C.V.Raman University, Bilaspur, Chhattisgarh 495113, India

Keywords: Abstract economies, upper semicontinuous, lower semicontinuous, Hausdorff locally convex topological vector space.

Abstract

In this paper, we prove some new common equilibrium existence theorems for pair of non-compact abstract economies with an uncountable number of agents.

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