Edit Profile (opens in new tab) Karakaya, Vatan Compute Distance To: Compute Author ID: karakaya.vatan Published as: Karakaya, Vatan; Karakaya, V. Documents Indexed: 91 Publications since 2002 Co-Authors: 41 Co-Authors with 87 Joint Publications 1,029 Co-Co-Authors all top 5 Co-Authors 4 single-authored 21 Gürsoy, Faik 19 Şimşek, Necip 15 Ertürk, Müzeyyen 8 Doğan, Kadri 7 Khan, Abdul Rahim 7 Sekman, Derya 6 Atalan, Yunus 6 Polat, Harun 6 Savaş, Ekrem 5 Hacioğlu, Emirhan 5 Mursaleen, Mohammad 4 Bouzara, Nour El Houda 3 Das, Pratulananda 3 Erdoğan, Ezgi 3 Et, Mikail 2 Altun, Muhammed 2 Ansari, Qamrul Hasan 2 Dutta, Kaustubh 2 Ghosal, Sanjoy Kr 2 Kara, Hasan Hüseyin 2 Karakaş, Murat 2 Manafov, Manaf Dzh. 2 Rhoades, Billy E. 1 Altun, Fatma 1 Arnoldi Eksteen, Johannes Jacobus 1 Dutta, Hemen 1 Dzhalilov, Akhtam Abdurakhmanovich 1 Ertürk, Mzeyyen 1 Hudzik, Henryk 1 Karaaslan, Arife Aysun 1 Karaisa, Ali 1 Khan, Safeer Hussain 1 Knefati, Mohammad 1 Milovanović, Gradimir V. 1 Mohiuddine, Syed Abdul 1 Noman, Abdullah Kaid 1 Patterson, Richard F. 1 Savaş, Rahmet 1 Şımşek, Neıp 1 Som, Sumit 1 Uddin, Izhar all top 5 Serials 11 Abstract and Applied Analysis 6 Journal of Nonlinear and Convex Analysis 4 Journal of Inequalities and Applications 4 Journal of Function Spaces 3 Applied Mathematics and Computation 3 Numerical Functional Analysis and Optimization 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Creative Mathematics and Informatics 2 Computers & Mathematics with Applications 2 Acta Scientiarum Mathematicarum 2 Mathematica Slovaca 2 Publications de l’Institut Mathématique. Nouvelle Série 2 Mathematical and Computer Modelling 2 Filomat 2 Journal of Computational Analysis and Applications 2 Carpathian Journal of Mathematics 2 Sahand Communications in Mathematical Analysis 1 Information Sciences 1 Journal of Computational and Applied Mathematics 1 The Journal of the Indian Mathematical Society. New Series 1 Results in Mathematics 1 Tamkang Journal of Mathematics 1 Applied Mathematics Letters 1 International Journal of Computer Mathematics 1 Studia Universitatis Babeș-Bolyai. Mathematica 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Turkish Journal of Mathematics 1 Analele Universității din Timișoara. Seria Matematică-Informatică 1 Methods of Functional Analysis and Topology 1 Logic Journal of the IGPL 1 Taiwanese Journal of Mathematics 1 Soft Computing 1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 1 Far East Journal of Mathematical Sciences 1 International Mathematical Journal 1 Kragujevac Journal of Mathematics 1 Journal of Intelligent and Fuzzy Systems 1 Thai Journal of Mathematics 1 Journal of Function Spaces and Applications 1 Fixed Point Theory 1 Journal of the Indonesian Mathematical Society 1 Fixed Point Theory and Applications 1 Communications in Mathematical Analysis 1 International Journal of Contemporary Mathematical Sciences 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Scientific Studies and Research. Series Mathematics and Informatics 1 Bulletin of Mathematical Sciences 1 Journal of Mathematical Extension 1 Konuralp Journal of Mathematics 1 Kuwait Journal of Science 1 Advances in Operator Theory 1 Korean Journal of Mathematics all top 5 Fields 47 Operator theory (47-XX) 32 Functional analysis (46-XX) 20 Sequences, series, summability (40-XX) 14 General topology (54-XX) 10 Numerical analysis (65-XX) 5 Integral equations (45-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 2 Operations research, mathematical programming (90-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 72 Publications have been cited 491 times in 350 Documents Cited by ▼ Year ▼ Weighted statistical convergence and its application to Korovkin type approximation theorem. Zbl 1262.40004Mursaleen, Mohammad; Karakaya, Vatan; Ertürk, Müzeyyen; Gürsoy, Faik 100 2012 Measure of noncompactness of matrix operators on some difference sequence spaces of weighted means. Zbl 1247.47009Mursaleen, M.; Karakaya, V.; Polat, H.; Simşek, N. 29 2011 Fine spectra of upper triangular double-band matrices. Zbl 1193.47006Karakaya, Vatan; Altun, Muhammed 26 2010 Data dependence results of new multi-step and S-iterative schemes for contractive-like operators. Zbl 1423.47041Gürsoy, Faik; Karakaya, Vatan; Rhoades, Billy E. 22 2013 Some fixed point results for a new three steps iteration process in Banach spaces. Zbl 1441.47085Karakaya, Vatan; Atalan, Yunus; Dogan, Kadri; Bouzara, Nour El Houda 18 2017 Difference sequence spaces derived by using a generalized weighted mean. Zbl 1223.46005Polat, Harun; Karakaya, Vatan; Şimşek, Necip 18 2011 Some geometric properties of sequence spaces involving lacunary sequence. Zbl 1132.46010Karakaya, Vatan 13 2007 Convergence and data dependency of normal-\(S\) iterative method for discontinuous operators on Banach space. Zbl 1486.65053Gürsoy, Faik; Khan, Abdul Rahim; Ertürk, Müzeyyen; Karakaya, Vatan 12 2018 Korovkin type approximation theorems for weighted \(\alpha \beta\)-statistical convergence. Zbl 1317.41006Karakaya, Vatan; Karaisa, Ali 11 2015 Some new paranormed sequence spaces defined by Euler and difference operators. Zbl 1224.46009Karakaya, Vatan; Polat, Harun 11 2010 Some convergence and stability results for two new Kirk type hybrid fixed point iterative algorithms. Zbl 1471.47043Gürsoy, Faik; Karakaya, Vatan 10 2014 Jungck-Khan iterative scheme and higher convergence rate. Zbl 1382.47025Khan, Abdul Rahim; Gürsoy, Faik; Karakaya, Vatan 10 2016 Fixed point of a new three-step iteration algorithm under contractive-like operators over normed spaces. Zbl 1364.47026Karakaya, Vatan; Doğan, Kadri; Gürsoy, Faik; Ertürk, Müzeyyen 9 2013 On paranormed \(\lambda \)-sequence spaces of non-absolute type. Zbl 1228.40004Karakaya, Vatan; Noman, Abdullah K.; Polat, Harun 9 2011 Correction: “\(n\)-tuplet fixed point theorems for contractive type mappings in partially ordered metric spaces”. Zbl 1284.54056Ertürk, Mzeyyen; Karakaya, Vatan 9 2013 On some vector valued generalized difference modular sequence spaces. Zbl 1265.46009Karakaya, Vatan; Dutta, Hemen 9 2011 Schauder basis, separability, and approximation property in intuitionistic fuzzy normed space. Zbl 1219.46070Mursaleen, M.; Karakaya, V.; Mohiuddine, S. A. 9 2010 An iterative method and its application to stable inversion. Zbl 1418.47007Gürsoy, Faik; Arnoldi Eksteen, Johannes Jacobus; Khan, Abdul Rahim; Karakaya, Vatan 8 2019 Some geometric properties of a new difference sequence space involving lacunary sequences. Zbl 1313.46011Karakaş, Murat; Et, Mikail; Karakaya, Vatan 8 2013 Some geometric and topological properties of a new sequence space defined by de la Vallée-Poussin mean. Zbl 1200.46006Şimşek, Necip; Savaş, Ekrem; Karakaya, Vatan 8 2010 Some new sequence spaces defined by lacunary sequences. Zbl 1150.40003Savas, Ekrem; Karakaya, Vatan 7 2007 Some geometric properties of a new difference sequence space defined by de la Vallée-Poussin mean. Zbl 1317.46014Et, Mikail; Karakaş, Murat; Karakaya, Vatan 6 2014 Fine spectra of lacunary matrices. Zbl 1176.47008Altun, Muhammed; Karakaya, Vatan 6 2009 Some convergence and stability results for the Kirk multistep and Kirk-SP fixed point iterative algorithms. Zbl 1473.47035Gürsoy, Faik; Karakaya, Vatan; Rhoades, B. E. 5 2014 \(n\)-tuplet fixed point theorems for contractive type mappings in partially ordered metric spaces. Zbl 1279.54027Ertürk, Müzeyyen; Karakaya, Vatan 5 2013 On the fine spectrum of the second order difference operator over the sequence spaces \(\ell_p\) and \(bv_p\), (\(1<p<\infty\)). Zbl 1255.47037Karakaya, Vatan; Manafov, Manaf Dzh.; Şimşek, Necip 5 2012 Weak \(w^{2}\)-stability and data dependence of Mann iteration method in Hilbert spaces. Zbl 1450.47028Gürsoy, Faik; Khan, Abdul Rahim; Ertürk, Müzeyyen; Karakaya, Vatan 5 2019 Some convergence and data dependence results for various fixed point iterative methods. Zbl 1463.47209Karakaya, Vatan; Gürsoy, Faik; Ertürk, Müzeyyen 5 2016 On some geometrical properties of generalized modular spaces of Cesàro type defined by weighted means. (On some geometrical properties of generalized modular spaces of Cesáro type defined by weighted means.) Zbl 1188.46005Şimşek, Necip; Karakaya, Vatan 5 2009 Banach-Saks type and Gurariǐ modulus of convexity of some Banach sequence spaces. Zbl 1468.46024Hudzik, Henryk; Karakaya, Vatan; Mursaleen, Mohammad; Simsek, Necip 4 2014 Data dependence results for multistep and CR iterative schemes in the class of contractive-like operators. Zbl 1364.47027Karakaya, Vatan; Gürsoy, Faik; Doğan, Kadri; Ertürk, Müzeyyen 4 2013 \(\lambda\)-statistical convergence of sequences of functions in intuitionistic fuzzy normed spaces. Zbl 1260.40007Karakaya, Vatan; Şimşek, Necip; Ertürk, Müzeyyen; Gürsoy, Faik 4 2012 Some paranormed Euler sequence spaces of difference sequences of order \(m\). Zbl 1340.46007Karakaya, Vatan; Savaş, Ekrem; Polat, Harun 4 2013 Existence and convergence for a new multivalued hybrid mapping in CAT\((\kappa)\) spaces. Zbl 1413.54123Hacioğlu, Emirhan; Karakaya, Vatan 4 2017 Coincidences of nonself operators by a simpler algorithm. Zbl 07143782Gürsoy, Faik; Khan, Abdul Rahim; Ertürk, Müzeyyen; Karakaya, Vatan 4 2020 Some \(\ell (p)\)-type new sequence spaces and their geometric properties. Zbl 1188.46006Savaş, Ekrem; Karakaya, Vatan; Şimşek, Necip 4 2009 A notion of \(\alpha\beta\)-statistical convergence of order \(\gamma\) in probability. Zbl 1488.40019Das, Pratulananda; Som, Sumit; Ghosal, Sanjoy; Karakaya, Vatan 4 2018 Measure of non-compactness in the study of solutions for a system of integral equations. Zbl 1451.45003Karakaya, Vatan; Mursaleen, Mohammad; Bouzara, Nour El Houda; Sekman, Derya 4 2019 On some further generalizations of strong convergence in probabilistic metric spaces using ideals. Zbl 1470.40002Das, Pratulananda; Dutta, Kaustubh; Karakaya, Vatan; Ghosal, Sanjoy 3 2013 Lacunary statistical convergence of sequences of functions in intuitionistic fuzzy normed space. Zbl 1305.40005Karakaya, Vatan; Simsek, Necip; Gürsoy, Faik; Ertürk, Müzeyyen 3 2014 On almost \(p\)-bounded variation of lacunary sequences. Zbl 1217.40002Karakaya, Vatan; Savas, Ekrem 3 2011 The local and semilocal convergence analysis of new Newton-like iteration methods. Zbl 1436.49038Karakaya, Vatan; Doğan, Kadri; Atalan, Yunus; Bouzara, Nour El Houda 3 2018 Iterative solution of functional Volterra-Fredholm integral equation with deviating argument. Zbl 1469.45009Atalan, Yunus; Karakaya, Vatan 3 2017 Convergence and data dependence results for hemicontractive operators. Zbl 1474.47123Ertürk, Müzeyyen; Khan, Abdul Rahim; Karakaya, Vatan; Gürsoy, Faik 3 2017 On lacunary \(\sigma\)-statistical convergence. Zbl 1113.60306Karakaya, Vatan 2 2004 On lacunary invariant sequence spaces defined by a sequence of modulus functions. Zbl 1071.46009Karakaya, Vatan; Şimşek, Necip 2 2004 On the \(F\)-contraction properties of multivalued integral type transformations. Zbl 1449.47098Sekman, Derya; Karakaya, Vatan 2 2019 On some properties of new paranormed sequence space of nonabsolute type. Zbl 1254.46009Karakaya, Vatan; Şimşek, Necip 2 2012 Statistical convergence of sequences of functions in intuitionistic fuzzy normed spaces. Zbl 1256.40003Karakaya, Vatan; Şimşek, Necip; Ertürk, Müzeyyen; Gürsoy, Faik 2 2012 Some fixed point results for a multivalued generalization of generalized hybrid mappings in \(CAT(\kappa)\)-spaces. Zbl 1412.47125Hacıoğlu, Emirhan; Karakaya, Vatan 2 2018 On different type of fixed point theorem for multivalued mappings via measure of noncompactness. Zbl 1435.47053Bouzara, Nour El Houda; Karakaya, Vatan 2 2018 On some geometrical properties of certain vector-valued sequence spaces. Zbl 1202.46022Şimşek, Necip; Karakaya, Vatan 2 2010 Notes on the spectral properties of the weighted mean difference operator \(G(u,v;\Delta)\) over the sequence space \(\ell_1\). Zbl 1363.47009Karakaya, Vatan; Erdogan, Ezgi 2 2016 Picard type iterative method with applications to minimization problems and split feasibility problems. Zbl 07347531Ertürk, M.; Gürsoy, Faik; Ansari, Qamrul Hasan; Karakaya, Vatan 2 2020 Investigation of some fixed point theorems in hyperbolic spaces for a three step iteration process. Zbl 1442.47043Atalan, Yunus; Karakaya, Vatan 2 2019 Approximation of fixed point of accretive operators based on a Halpern-Type iterative method. Zbl 1413.47105Dogan, Kadri; Karakaya, Vatan 1 2017 Inclusion theorems for double lacunary sequence spaces. Zbl 1101.40002Savaş, E.; Karakaya, Vatan; Patterson, R. F. 1 2005 A new difference sequence set of order \(\alpha\) and its geometrical properties. Zbl 1449.46004Et, Mikail; Karakaya, Vatan 1 2014 On some geometric properties of a new paranormed sequence space. Zbl 1306.46006Karakaya, Vatan; Altun, Fatma 1 2014 Operators ideals of generalized modular spaces of Cesàro type defined by weighted means. Zbl 1329.47077Şımşek, Necıp; Karakaya, Vatan; Polat, Harun 1 2015 \(n\)-tuplet coincidence point theorems in intuitionistic fuzzy normed spaces. Zbl 1471.47046Ertürk, Müzeyyen; Karakaya, Vatan 1 2014 Operator ideal of s-type operators using weighted mean sequence space. Zbl 1399.47072Erdoğan, Ezgi; Karakaya, Vatan 1 2017 A study in the fixed point theory for a new iterative scheme and a class of generalized mappings. Zbl 1463.47207Dogan, Kadri; Karakaya, Vatan 1 2018 Analytical and numerical aspect of coincidence point problem of quasi-contractive operators. Zbl 1488.47001Gürsoy, Faik; Ertürk, Müzeyyen; Khan, Abdul Rahim; Karakaya, Vatan 1 2019 On \(F\)-weak contraction of generalized multivalued integral type mappings with \(\alpha \)-admissible. Zbl 1474.54175Karakaya, Vatan; Şimşek, Necip; Sekman, Derya 1 2020 Some new sequence spaces defined by a sequence of Orlicz functions. Zbl 1101.46302Karakaya, Vatan 1 2005 Structure and some geometric properties of generalized Cesaro sequence space. Zbl 1149.46303Şimşek, Necip; Karakaya, Vatan 1 2008 On behaviour of Darbo fixed point theorem under function sequences. Zbl 1479.47046Karakaya, Vatan; Sekman, Derya; Şimşek, Necip 1 2019 Some fixed point results for a new multivalued hybrid mapping in geodesic spaces. Zbl 1478.54070Hacıoğlu, Emirhan; Karakaya, Vatan 1 2021 Some new results on convergence, stability and data dependence in \(n\)-normed spaces. Zbl 1493.47111Doğan, Kadri; Gürsoy, Faik; Karakaya, Vatan; Khan, Safeer Hussain 1 2020 On fine spectra and subspectrum (approximate point, defect and compression) of operator with periodic coefficients. Zbl 1474.47016Karakaya, Vatan; Manafov, Manaf Dzh.; Şımşek, Neıp 1 2017 Modified Picard type iterative algorithm for nonexpansive mappings. Zbl 1451.47004Ertürk, M.; Gürsoy, F.; Ansari, Q. H.; Karakaya, V. 1 2018 Some fixed point results for a new multivalued hybrid mapping in geodesic spaces. Zbl 1478.54070Hacıoğlu, Emirhan; Karakaya, Vatan 1 2021 Coincidences of nonself operators by a simpler algorithm. Zbl 07143782Gürsoy, Faik; Khan, Abdul Rahim; Ertürk, Müzeyyen; Karakaya, Vatan 4 2020 Picard type iterative method with applications to minimization problems and split feasibility problems. Zbl 07347531Ertürk, M.; Gürsoy, Faik; Ansari, Qamrul Hasan; Karakaya, Vatan 2 2020 On \(F\)-weak contraction of generalized multivalued integral type mappings with \(\alpha \)-admissible. Zbl 1474.54175Karakaya, Vatan; Şimşek, Necip; Sekman, Derya 1 2020 Some new results on convergence, stability and data dependence in \(n\)-normed spaces. Zbl 1493.47111Doğan, Kadri; Gürsoy, Faik; Karakaya, Vatan; Khan, Safeer Hussain 1 2020 An iterative method and its application to stable inversion. Zbl 1418.47007Gürsoy, Faik; Arnoldi Eksteen, Johannes Jacobus; Khan, Abdul Rahim; Karakaya, Vatan 8 2019 Weak \(w^{2}\)-stability and data dependence of Mann iteration method in Hilbert spaces. Zbl 1450.47028Gürsoy, Faik; Khan, Abdul Rahim; Ertürk, Müzeyyen; Karakaya, Vatan 5 2019 Measure of non-compactness in the study of solutions for a system of integral equations. Zbl 1451.45003Karakaya, Vatan; Mursaleen, Mohammad; Bouzara, Nour El Houda; Sekman, Derya 4 2019 On the \(F\)-contraction properties of multivalued integral type transformations. Zbl 1449.47098Sekman, Derya; Karakaya, Vatan 2 2019 Investigation of some fixed point theorems in hyperbolic spaces for a three step iteration process. Zbl 1442.47043Atalan, Yunus; Karakaya, Vatan 2 2019 Analytical and numerical aspect of coincidence point problem of quasi-contractive operators. Zbl 1488.47001Gürsoy, Faik; Ertürk, Müzeyyen; Khan, Abdul Rahim; Karakaya, Vatan 1 2019 On behaviour of Darbo fixed point theorem under function sequences. Zbl 1479.47046Karakaya, Vatan; Sekman, Derya; Şimşek, Necip 1 2019 Convergence and data dependency of normal-\(S\) iterative method for discontinuous operators on Banach space. Zbl 1486.65053Gürsoy, Faik; Khan, Abdul Rahim; Ertürk, Müzeyyen; Karakaya, Vatan 12 2018 A notion of \(\alpha\beta\)-statistical convergence of order \(\gamma\) in probability. Zbl 1488.40019Das, Pratulananda; Som, Sumit; Ghosal, Sanjoy; Karakaya, Vatan 4 2018 The local and semilocal convergence analysis of new Newton-like iteration methods. Zbl 1436.49038Karakaya, Vatan; Doğan, Kadri; Atalan, Yunus; Bouzara, Nour El Houda 3 2018 Some fixed point results for a multivalued generalization of generalized hybrid mappings in \(CAT(\kappa)\)-spaces. Zbl 1412.47125Hacıoğlu, Emirhan; Karakaya, Vatan 2 2018 On different type of fixed point theorem for multivalued mappings via measure of noncompactness. Zbl 1435.47053Bouzara, Nour El Houda; Karakaya, Vatan 2 2018 A study in the fixed point theory for a new iterative scheme and a class of generalized mappings. Zbl 1463.47207Dogan, Kadri; Karakaya, Vatan 1 2018 Modified Picard type iterative algorithm for nonexpansive mappings. Zbl 1451.47004Ertürk, M.; Gürsoy, F.; Ansari, Q. H.; Karakaya, V. 1 2018 Some fixed point results for a new three steps iteration process in Banach spaces. Zbl 1441.47085Karakaya, Vatan; Atalan, Yunus; Dogan, Kadri; Bouzara, Nour El Houda 18 2017 Existence and convergence for a new multivalued hybrid mapping in CAT\((\kappa)\) spaces. Zbl 1413.54123Hacioğlu, Emirhan; Karakaya, Vatan 4 2017 Iterative solution of functional Volterra-Fredholm integral equation with deviating argument. Zbl 1469.45009Atalan, Yunus; Karakaya, Vatan 3 2017 Convergence and data dependence results for hemicontractive operators. Zbl 1474.47123Ertürk, Müzeyyen; Khan, Abdul Rahim; Karakaya, Vatan; Gürsoy, Faik 3 2017 Approximation of fixed point of accretive operators based on a Halpern-Type iterative method. Zbl 1413.47105Dogan, Kadri; Karakaya, Vatan 1 2017 Operator ideal of s-type operators using weighted mean sequence space. Zbl 1399.47072Erdoğan, Ezgi; Karakaya, Vatan 1 2017 On fine spectra and subspectrum (approximate point, defect and compression) of operator with periodic coefficients. Zbl 1474.47016Karakaya, Vatan; Manafov, Manaf Dzh.; Şımşek, Neıp 1 2017 Jungck-Khan iterative scheme and higher convergence rate. Zbl 1382.47025Khan, Abdul Rahim; Gürsoy, Faik; Karakaya, Vatan 10 2016 Some convergence and data dependence results for various fixed point iterative methods. Zbl 1463.47209Karakaya, Vatan; Gürsoy, Faik; Ertürk, Müzeyyen 5 2016 Notes on the spectral properties of the weighted mean difference operator \(G(u,v;\Delta)\) over the sequence space \(\ell_1\). Zbl 1363.47009Karakaya, Vatan; Erdogan, Ezgi 2 2016 Korovkin type approximation theorems for weighted \(\alpha \beta\)-statistical convergence. Zbl 1317.41006Karakaya, Vatan; Karaisa, Ali 11 2015 Operators ideals of generalized modular spaces of Cesàro type defined by weighted means. Zbl 1329.47077Şımşek, Necıp; Karakaya, Vatan; Polat, Harun 1 2015 Some convergence and stability results for two new Kirk type hybrid fixed point iterative algorithms. Zbl 1471.47043Gürsoy, Faik; Karakaya, Vatan 10 2014 Some geometric properties of a new difference sequence space defined by de la Vallée-Poussin mean. Zbl 1317.46014Et, Mikail; Karakaş, Murat; Karakaya, Vatan 6 2014 Some convergence and stability results for the Kirk multistep and Kirk-SP fixed point iterative algorithms. Zbl 1473.47035Gürsoy, Faik; Karakaya, Vatan; Rhoades, B. E. 5 2014 Banach-Saks type and Gurariǐ modulus of convexity of some Banach sequence spaces. Zbl 1468.46024Hudzik, Henryk; Karakaya, Vatan; Mursaleen, Mohammad; Simsek, Necip 4 2014 Lacunary statistical convergence of sequences of functions in intuitionistic fuzzy normed space. Zbl 1305.40005Karakaya, Vatan; Simsek, Necip; Gürsoy, Faik; Ertürk, Müzeyyen 3 2014 A new difference sequence set of order \(\alpha\) and its geometrical properties. Zbl 1449.46004Et, Mikail; Karakaya, Vatan 1 2014 On some geometric properties of a new paranormed sequence space. Zbl 1306.46006Karakaya, Vatan; Altun, Fatma 1 2014 \(n\)-tuplet coincidence point theorems in intuitionistic fuzzy normed spaces. Zbl 1471.47046Ertürk, Müzeyyen; Karakaya, Vatan 1 2014 Data dependence results of new multi-step and S-iterative schemes for contractive-like operators. Zbl 1423.47041Gürsoy, Faik; Karakaya, Vatan; Rhoades, Billy E. 22 2013 Fixed point of a new three-step iteration algorithm under contractive-like operators over normed spaces. Zbl 1364.47026Karakaya, Vatan; Doğan, Kadri; Gürsoy, Faik; Ertürk, Müzeyyen 9 2013 Correction: “\(n\)-tuplet fixed point theorems for contractive type mappings in partially ordered metric spaces”. Zbl 1284.54056Ertürk, Mzeyyen; Karakaya, Vatan 9 2013 Some geometric properties of a new difference sequence space involving lacunary sequences. Zbl 1313.46011Karakaş, Murat; Et, Mikail; Karakaya, Vatan 8 2013 \(n\)-tuplet fixed point theorems for contractive type mappings in partially ordered metric spaces. Zbl 1279.54027Ertürk, Müzeyyen; Karakaya, Vatan 5 2013 Data dependence results for multistep and CR iterative schemes in the class of contractive-like operators. Zbl 1364.47027Karakaya, Vatan; Gürsoy, Faik; Doğan, Kadri; Ertürk, Müzeyyen 4 2013 Some paranormed Euler sequence spaces of difference sequences of order \(m\). Zbl 1340.46007Karakaya, Vatan; Savaş, Ekrem; Polat, Harun 4 2013 On some further generalizations of strong convergence in probabilistic metric spaces using ideals. Zbl 1470.40002Das, Pratulananda; Dutta, Kaustubh; Karakaya, Vatan; Ghosal, Sanjoy 3 2013 Weighted statistical convergence and its application to Korovkin type approximation theorem. Zbl 1262.40004Mursaleen, Mohammad; Karakaya, Vatan; Ertürk, Müzeyyen; Gürsoy, Faik 100 2012 On the fine spectrum of the second order difference operator over the sequence spaces \(\ell_p\) and \(bv_p\), (\(1<p<\infty\)). Zbl 1255.47037Karakaya, Vatan; Manafov, Manaf Dzh.; Şimşek, Necip 5 2012 \(\lambda\)-statistical convergence of sequences of functions in intuitionistic fuzzy normed spaces. Zbl 1260.40007Karakaya, Vatan; Şimşek, Necip; Ertürk, Müzeyyen; Gürsoy, Faik 4 2012 On some properties of new paranormed sequence space of nonabsolute type. Zbl 1254.46009Karakaya, Vatan; Şimşek, Necip 2 2012 Statistical convergence of sequences of functions in intuitionistic fuzzy normed spaces. Zbl 1256.40003Karakaya, Vatan; Şimşek, Necip; Ertürk, Müzeyyen; Gürsoy, Faik 2 2012 Measure of noncompactness of matrix operators on some difference sequence spaces of weighted means. Zbl 1247.47009Mursaleen, M.; Karakaya, V.; Polat, H.; Simşek, N. 29 2011 Difference sequence spaces derived by using a generalized weighted mean. Zbl 1223.46005Polat, Harun; Karakaya, Vatan; Şimşek, Necip 18 2011 On paranormed \(\lambda \)-sequence spaces of non-absolute type. Zbl 1228.40004Karakaya, Vatan; Noman, Abdullah K.; Polat, Harun 9 2011 On some vector valued generalized difference modular sequence spaces. Zbl 1265.46009Karakaya, Vatan; Dutta, Hemen 9 2011 On almost \(p\)-bounded variation of lacunary sequences. Zbl 1217.40002Karakaya, Vatan; Savas, Ekrem 3 2011 Fine spectra of upper triangular double-band matrices. Zbl 1193.47006Karakaya, Vatan; Altun, Muhammed 26 2010 Some new paranormed sequence spaces defined by Euler and difference operators. Zbl 1224.46009Karakaya, Vatan; Polat, Harun 11 2010 Schauder basis, separability, and approximation property in intuitionistic fuzzy normed space. Zbl 1219.46070Mursaleen, M.; Karakaya, V.; Mohiuddine, S. A. 9 2010 Some geometric and topological properties of a new sequence space defined by de la Vallée-Poussin mean. Zbl 1200.46006Şimşek, Necip; Savaş, Ekrem; Karakaya, Vatan 8 2010 On some geometrical properties of certain vector-valued sequence spaces. Zbl 1202.46022Şimşek, Necip; Karakaya, Vatan 2 2010 Fine spectra of lacunary matrices. Zbl 1176.47008Altun, Muhammed; Karakaya, Vatan 6 2009 On some geometrical properties of generalized modular spaces of Cesàro type defined by weighted means. (On some geometrical properties of generalized modular spaces of Cesáro type defined by weighted means.) Zbl 1188.46005Şimşek, Necip; Karakaya, Vatan 5 2009 Some \(\ell (p)\)-type new sequence spaces and their geometric properties. Zbl 1188.46006Savaş, Ekrem; Karakaya, Vatan; Şimşek, Necip 4 2009 Structure and some geometric properties of generalized Cesaro sequence space. Zbl 1149.46303Şimşek, Necip; Karakaya, Vatan 1 2008 Some geometric properties of sequence spaces involving lacunary sequence. Zbl 1132.46010Karakaya, Vatan 13 2007 Some new sequence spaces defined by lacunary sequences. Zbl 1150.40003Savas, Ekrem; Karakaya, Vatan 7 2007 Inclusion theorems for double lacunary sequence spaces. Zbl 1101.40002Savaş, E.; Karakaya, Vatan; Patterson, R. F. 1 2005 Some new sequence spaces defined by a sequence of Orlicz functions. Zbl 1101.46302Karakaya, Vatan 1 2005 On lacunary \(\sigma\)-statistical convergence. Zbl 1113.60306Karakaya, Vatan 2 2004 On lacunary invariant sequence spaces defined by a sequence of modulus functions. Zbl 1071.46009Karakaya, Vatan; Şimşek, Necip 2 2004 all cited Publications top 5 cited Publications all top 5 Cited by 330 Authors 40 Mursaleen, Mohammad 37 Karakaya, Vatan 21 Mohiuddine, Syed Abdul 16 Gürsoy, Faik 15 Alotaibi, Abdullah M. 13 Braha, Naim Latif 13 Et, Mikail 11 Ghosal, Sanjoy Kr 11 Hazarika, Bipan 11 Savaş, Ekrem 11 Srivastava, Hari Mohan 10 Ertürk, Müzeyyen 10 Kadak, Ugur 10 Paikray, Susanta Kumar 10 Şimşek, Necip 9 Khan, Abdul Rahim 8 Basarir, Metin 8 Dutta, Hemen 8 Jena, Bidu Bhusan 8 Srivastava, Parmeshwary Dayal 7 El-Shabrawy, Saad R. 7 Kara, Emrah Evren 7 Karaisa, Ali 6 Atalan, Yunus 6 Baliarsingh, Pinakadhar 6 Kumar, Vivek 6 Yaying, Taja 5 Başar, Feyzi 5 Das, Rituparna 5 Konca, Şükran 4 Abbas, Mujahid 4 Altin, Yavuz 4 Altun, Muhammed 4 Bakery, Awad A. 4 Banerjee, Mandobi 4 Chugh, Renu 4 Das, Pratulananda 4 Doğan, Kadri 4 Hazar Güleç, Güllü Canan 4 Hussain, Nawab 4 Khan, Faisal 4 Maldar, Samet 4 Mansour, Toufik 4 Mishra, Vishnu Narayan 4 Özger, Faruk 4 Raj, Kuldip 4 Sarigöl, Mehmet Ali 4 Sekman, Derya 3 Agrawal, Purshottam Narain 3 Alghamdi, Mohammed Ali 3 Altundag, Selma 3 Aral, Nazlim Deniz 3 Arshad, Muhammad 3 Belen, Cemal 3 Çolak, Rifat 3 Durna, Nuh 3 Esi, Ayhan 3 Gdawiec, Krzysztof 3 Hacioğlu, Emirhan 3 İlkhan, Merve 3 Kiliçman, Adem 3 Kumam, Poom 3 Malik, Preety 3 Malkowsky, Eberhard 3 Manna, Atanu 3 Meng, Jian 3 Ojha, Sarita 3 Som, Sumit 3 Ullah, Kifayat 3 Yildirim, Mustafa 2 Abyar, Elahe 2 Acu, Ana Maria 2 Akhmedov, Ali M. 2 Aktuglu, Huseyin 2 Akutsah, Francis 2 Alamri, Badriah A. S. 2 Ali, Javid 2 Altinok, Hifsi 2 Baxhaku, Behar 2 Birbonshi, Riddhick 2 Bişgin, Mustafa Cemil 2 Çakan, Celal 2 Cinar, Muhammed 2 del Carmen Listán-García, María 2 del Pilar Romero de la Rosa, María 2 Demiriz, Serkan 2 Đolović, Ivana 2 Dutta, Kaustubh 2 Dutta, Salila 2 Ercan, Sinan 2 Fan, Honglei 2 Ghaemi, Mohammad Bagher 2 Ghosh, Avishek 2 Gogoi, Jyotishmaan 2 Gurdal, Mehmet 2 İlkhan Kara, Merve 2 Jalal, Tanweer 2 Jasrotia, Swati 2 Jebril, Iqbal Hamzh 2 Karakaş, Murat ...and 230 more Authors all top 5 Cited in 108 Serials 34 Journal of Inequalities and Applications 31 Abstract and Applied Analysis 21 Filomat 17 Applied Mathematics and Computation 14 Numerical Functional Analysis and Optimization 13 Journal of Function Spaces 11 Advances in Difference Equations 8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 Journal of Mathematical Analysis and Applications 6 Journal of the Egyptian Mathematical Society 6 Journal of Applied Mathematics and Computing 5 Soft Computing 5 Operators and Matrices 4 Mathematica Slovaca 4 Computational and Applied Mathematics 4 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 4 Kragujevac Journal of Mathematics 4 Sahand Communications in Mathematical Analysis 3 Linear and Multilinear Algebra 3 Ukrainian Mathematical Journal 3 International Journal of Mathematics and Mathematical Sciences 3 Results in Mathematics 3 Communications in Statistics. Theory and Methods 3 The Journal of Analysis 3 Discrete Dynamics in Nature and Society 3 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 3 Journal of Function Spaces and Applications 3 Fixed Point Theory and Applications 3 Proyecciones 3 Afrika Matematika 2 Mathematical Methods in the Applied Sciences 2 Gaṇita 2 Kyungpook Mathematical Journal 2 Publications de l’Institut Mathématique. Nouvelle Série 2 Quaestiones Mathematicae 2 Facta Universitatis. Series Mathematics and Informatics 2 Mathematical and Computer Modelling 2 Numerical Algorithms 2 Turkish Journal of Mathematics 2 Arab Journal of Mathematical Sciences 2 Nonlinear Functional Analysis and Applications 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Iranian Journal of Science and Technology. Transaction A: Science 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Journal of Intelligent and Fuzzy Systems 2 Thai Journal of Mathematics 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 Applications and Applied Mathematics 2 Journal of Mathematical Inequalities 2 Banach Journal of Mathematical Analysis 2 Asian-European Journal of Mathematics 2 Tbilisi Mathematical Journal 2 Palestine Journal of Mathematics 2 Journal of Mathematics 2 Journal of Linear and Topological Algebra 2 Cogent Mathematics 2 Transactions of A. Razmadze Mathematical Institute 2 Korean Journal of Mathematics 2 AIMS Mathematics 1 Computers & Mathematics with Applications 1 Rocky Mountain Journal of Mathematics 1 Demonstratio Mathematica 1 Journal of Computational and Applied Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Ricerche di Matematica 1 Applied Numerical Mathematics 1 Applied Mathematics Letters 1 Science in China. Series A 1 International Journal of Computer Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Tatra Mountains Mathematical Publications 1 Bulletin des Sciences Mathématiques 1 Journal of Mathematical Chemistry 1 Journal of Applied Analysis 1 Positivity 1 Novi Sad Journal of Mathematics 1 Analysis (München) 1 Communications of the Korean Mathematical Society 1 Acta Mathematica Sinica. English Series 1 Journal of Applied Mathematics 1 Journal of the Indonesian Mathematical Society 1 Mediterranean Journal of Mathematics 1 The Australian Journal of Mathematical Analysis and Applications 1 Iranian Journal of Fuzzy Systems 1 Journal of Industrial and Management Optimization 1 Journal of Fixed Point Theory and Applications 1 Complex Analysis and Operator Theory 1 JP Journal of Fixed Point Theory and Applications 1 Applicable Analysis and Discrete Mathematics 1 European Journal of Pure and Applied Mathematics 1 Journal of Nonlinear Science and Applications 1 Acta Universitatis Sapientiae. Mathematica 1 Advances in Fuzzy Systems 1 Applied General Topology 1 Journal of Applied Mathematics & Informatics 1 Azerbaijan Journal of Mathematics 1 Bulletin of Mathematical Sciences 1 Journal of Mathematical Extension 1 Arabian Journal of Mathematics 1 Journal of Mathematical Research with Applications ...and 8 more Serials all top 5 Cited in 24 Fields 162 Sequences, series, summability (40-XX) 135 Operator theory (47-XX) 124 Functional analysis (46-XX) 76 Approximations and expansions (41-XX) 31 General topology (54-XX) 20 Numerical analysis (65-XX) 18 Real functions (26-XX) 12 Difference and functional equations (39-XX) 7 Integral equations (45-XX) 7 Probability theory and stochastic processes (60-XX) 4 Number theory (11-XX) 4 Special functions (33-XX) 4 Ordinary differential equations (34-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Measure and integration (28-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Statistics (62-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Operations research, mathematical programming (90-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year