• Journal of the Chungcheong Mathematical Society
• /
• v.7 no.1
• /
• pp.47-51
• /
• 1994

The purpose of this note is to give a new selection theorem which is an essential tool for proving the new kind of existence theorem of the equilibrium price comparable to the Debreu-Gale-Nikaido theorem.

• Journal of the Korean Mathematical Society
• /
• v.33 no.1
• /
• pp.25-29
• /
• 1996

The Debreu-Gale-Nikaido theorem [2] is a potential tool to prove the existence of a market equilibrium price. Walras' law is of a quantitative nature (i.e. it measures the value of the total excess demand), and it is interesting to note that the existence result holds true under some qualitative assumptions. In fact, the Debreu-Gale-Nikaido theorem states that the continuity of the excess demand function and Walras' law has the following implication : For some price and corresponding value of the excess demand function, it is not possible to respond with a new price system such that the value at the new price of every element in the value of the demand function associated with the old price system is strictly positive.

• Journal of the Chungcheong Mathematical Society
• /
• v.9 no.1
• /
• pp.191-197
• /
• 1996

The purpose of this paper is to prove a new topological existence theorem by using the connectness property, and some applications are also given.

• Bulletin of the Korean Mathematical Society
• /
• v.47 no.4
• /
• pp.805-813
• /
• 2010

In this paper, we apply Bohnenblust-Karlins fixed point theorem to prove the existence of solutions for a class of fractional differential inclusions with separated boundary conditions. Some applications of the main result are also presented.

• Communications of the Korean Mathematical Society
• /
• v.14 no.1
• /
• pp.223-231
• /
• 1999

In this paper we prove the existence of solutions of a nonlinear integrodifferential equation of Sobolev type with nonlocal conditions. The results are obtained by using compact semigroups and the Schauder fixed point theorem.

• Journal of applied mathematics & informatics
• /
• v.5 no.3
• /
• pp.607-614
• /
• 1998

In this note we shall give a new existence theorem of equilibrium in social systems with coordination under general assump-tions by using the Kakutani fixed point theorem.

• Communications of the Korean Mathematical Society
• /
• v.14 no.2
• /
• pp.319-328
• /
• 1999

In this paper we consider a kind of Minty`s lemma for multifunctions in Banach spaces, and apply it to obtain existence theorems for two kinds of variational-like inequalities using the KKM-Fan theorem.

• Bulletin of the Korean Mathematical Society
• /
• v.37 no.2
• /
• pp.377-385
• /
• 2000

In this paper we find a sufficient condition to guarantee the existence of pure-strategy equilibria in matrix games. In the process of formulating our condition, the alternative theorem of Farkas is used. The formulated condition is necessary and sufficient to the existence of pure-strategy equilibria in undominated matrix games.

• Journal of applied mathematics & informatics
• /
• v.28 no.3_4
• /
• pp.877-882
• /
• 2010

In this paper, a third-order three-point boundary value problem on time scales is considered. We establish criteria for the existence of a solution and a positive solution by using the Leray-Schauder fixed point theorem. An example is also given to illustrate our results.

• Journal of the Chungcheong Mathematical Society
• /
• v.5 no.1
• /
• pp.143-149
• /
• 1992

The purpose of this note is to give a new existence theorem of equilibrium in non-compact generalized games with uncountable number of agents.