Fixed point theorems for a k-set contraction map on a nearly-convex subset of a locally convex space

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Fixed Point Theorems for a k-set Contraction Map on a Nearly-convex Subset of a Locally Convex Space

In this paper, the first part, we establish the fixed point theorems for a k-set contraction map on the class Q(X,Y ), (see [1]) . The second part, we generalize the KKM pproperty on a convex set [2] to the KKM∗ property on a nearly-convex set, and then we establish fixed point theorems, matching theorems and variational inequalities for this class. Mathematics Subject Classification: 47H10, 54...

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ژورنال

عنوان ژورنال: International Mathematical Forum

سال: 2007

ISSN: 1314-7536

DOI: 10.12988/imf.2007.07120