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math.FA2015★ 3 cited
Convergence analysis for a new faster iteration method
Vatan Karakaya, Yunus Atalan, Kadri Dogan +1
In this paper, we introduce a new iteration method and show that this iteration method can be used to approximate fixed point of almost contraction mappings. Furthermore, we prove…
math.FA2015
Existence of fixed points for condensing operators under an integral condition
Vatan Karakaya, Bouzara Nour El Houda, Kadri Dogan +1
Our aim in this paper is to present results of existence of fixed points for continuous operators in Banach spaces using measure of noncompactness under an integral condition. This…