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Paper IPM / M / 11354 | ||||||||||||||||||||||
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Abstract: | ||||||||||||||||||||||
A new generalized set-valued contraction on topological spaces with respect to a measure of noncompactness is introduced. Two fixed point theorems for the KKM type maps which are either generalized set-contraction or condensing ones are given. Furthermore, applications of these results for existence of coincidence points and maximal elements are deduced.
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