We show weak lower semi-continuity of functionals assuming the new notion a “convexly constrained”

In this paper, we verify the lower semi-continuity and Ekeland’s variational principle for very recent results in a generalized metric space which introduced by Mohamed Jleli Bessem Samet [1]. And sequel obtain certain fixed point theorems related topics.

This note provides a price equilibrium existence theorem in economies where commodities may be indivisible and aggregate excess demand functions may be discontinuous or do not have any structure except Walras’ Law. We establish a condition, called recursive transfer lower semi-continuity, which is weaker than transfer lower semi-continuity and in turn weaker than lower semi-continuity, for the ...

This paper provides a price equilibrium existence theorem in economies where commodities may be indivisible and aggregate excess demand functions may be discontinuous. We introduce a very weak notion of continuity, called recursive transfer lower semi-continuity, which is weaker than transfer lower semi-continuity and in turn weaker than lower semicontinuity. It is shown that the condition, tog...