ORCID "0000-0002-6622-3122" Bilgisayar Mühendisliği Bölümü Yayın Koleksiyonu için listeleme
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Iterative schemes for solving regularized nonconvex mixed equilibrium problems
Ansari, Qamrul Hasan; Balooee, Javad; Doğan, Kadri (Yokohama Publications, 2017)This paper introduces a new class of equilibrium problems called regularized nonconvex mixed equilibrium problems involving two nonlinear bifunctions. By using the auxiliary principle technique, some iterative algorithms ... -
The local and semilocal convergence analysis of new Newton-like iteration methods
Karakaya, Vatan; Atalan, Yunus; Bouzara, Nour El Houda (Scientific Technical Research Council Turkey-Tubitak, 2018)The aim of this paper is to find new iterative Newton-like schemes inspired by the modified Newton iterative algorithm and prove that these iterations are faster than the existing ones in the literature. We further investigate ... -
New matrix domain derived by the matrix product
Karakaya, Vatan; Şimşek, Recep; Doğan, Kadri (UNİV NIS, 2016)In this work, we define new sequence spaces by using the matrix obtained by product of factorable matrix and generalized difference matrix of order m. Afterward, we investigate topological structure which are completeness, ... -
Some fixed point results for a new three steps iteration process in banach spaces
Karakaya, Vatan; Atalan, Yunus; Doğan, Kadri; Bouzara, Nour El Houda (House Book Science-Casa Cartii Stiinta, 2017)In this paper, we introduce a three step iteration method and show that this method can be used to approximate fixed point of weak contraction mappings. Furthermore, we prove that this iteration method is equivalent to ... -
Some fixed point results in the generalized convex metric spaces
Doğan, Kadri; Gürsoy, Faruk; Karakaya, Vatan (Turkic World Mathematical Society, 2020)In this study, we introduce a new three step iteration process and show that the iteration process converges to the unique fixed point by two theorems under different conditions of contractive mappings on the generalized ...