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We first establish a fixed point theorem for a -set contraction map on the family (,), which does not need to be a compact map. Next, we present the  type theorems, matching theorems, coincidence theorems, and minimax theorems on the family (,) and the Φ-mapping in FC-spaces. Our results improve and generalize some recent results.

isrn applied mathematics

Some Results for the Family <i>KKM(X,Y)</i> and the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>Φ</mml:mi></mml:math>-Mapping in <i>FC</i>-Spaces

Some Results for the Family KKM(X,Y) and the Φ-Mapping in FC-Spaces