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## Karakaya, Vatan

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 Author ID: karakaya.vatan Published as: Karakaya, Vatan; Karakaya, V.
 Documents Indexed: 84 Publications since 2002
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#### Co-Authors

 4 single-authored 19 Gürsoy, Faik 19 Şimşek, Necip 14 Ertürk, Müzeyyen 7 Doğan, Kadri 7 Khan, Abdul Rahim 6 Atalan, Yunus 6 Polat, Harun 6 Savaş, Ekrem 5 Mursaleen, Mohammad 5 Sekman, Derya 4 Bouzara, Nour El Houda 3 Das, Pratulananda 3 Erdoğan, Ezgi 3 Et, Mikail 3 Hacioğlu, Emirhan 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 Mohiuddine, Syed Abdul 1 Noman, Abdullah Kaid 1 Patterson, Richard F. 1 Savaş, Rahmet 1 Şımşek, Neıp 1 Som, Sumit
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#### 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 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 Numerical Functional Analysis and Optimization 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 Publications de l’Institut Mathématique. Nouvelle Série 1 Tamkang Journal of Mathematics 1 Applied Mathematics Letters 1 International Journal of Computer Mathematics 1 Studia Universitatis Babeş-Bolyai. Mathematica 1 Turkish Journal of Mathematics 1 Analele Universităţii din Timişoara. Seria Matematică-Informatică 1 Methods of Functional Analysis and Topology 1 Taiwanese Journal of Mathematics 1 Soft Computing 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 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
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#### Fields

 41 Operator theory (47-XX) 32 Functional analysis (46-XX) 20 Sequences, series, summability (40-XX) 11 General topology (54-XX) 9 Numerical analysis (65-XX) 4 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Real functions (26-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 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX)

#### Citations contained in zbMATH Open

59 Publications have been cited 356 times in 271 Documents Cited by Year
Weighted statistical convergence and its application to Korovkin type approximation theorem. Zbl 1262.40004
Mursaleen, Mohammad; Karakaya, Vatan; Ertürk, Müzeyyen; Gürsoy, Faik
2012
Fine spectra of upper triangular double-band matrices. Zbl 1193.47006
Karakaya, Vatan; Altun, Muhammed
2010
Measure of noncompactness of matrix operators on some difference sequence spaces of weighted means. Zbl 1247.47009
Mursaleen, M.; Karakaya, V.; Polat, H.; Simşek, N.
2011
Data dependence results of new multi-step and S-iterative schemes for contractive-like operators. Zbl 1423.47041
Gürsoy, Faik; Karakaya, Vatan; Rhoades, Billy E.
2013
Difference sequence spaces derived by using a generalized weighted mean. Zbl 1223.46005
Polat, Harun; Karakaya, Vatan; Şimşek, Necip
2011
Some geometric properties of sequence spaces involving lacunary sequence. Zbl 1132.46010
Karakaya, Vatan
2007
Some new paranormed sequence spaces defined by Euler and difference operators. Zbl 1224.46009
Karakaya, Vatan; Polat, Harun
2010
Some fixed point results for a new three steps iteration process in Banach spaces. Zbl 1441.47085
Karakaya, Vatan; Atalan, Yunus; Dogan, Kadri; Bouzara, Nour El Houda
2017
Korovkin type approximation theorems for weighted $$\alpha \beta$$-statistical convergence. Zbl 1317.41006
Karakaya, Vatan; Karaisa, Ali
2015
Convergence and data dependency of normal-$$S$$ iterative method for discontinuous operators on Banach space. Zbl 06866006
Gürsoy, Faik; Khan, Abdul Rahim; Ertürk, Müzeyyen; Karakaya, Vatan
2018
Some convergence and stability results for two new Kirk type hybrid fixed point iterative algorithms. Zbl 1471.47043
Gürsoy, Faik; Karakaya, Vatan
2014
Schauder basis, separability, and approximation property in intuitionistic fuzzy normed space. Zbl 1219.46070
Mursaleen, M.; Karakaya, V.; Mohiuddine, S. A.
2010
On paranormed $$\lambda$$-sequence spaces of non-absolute type. Zbl 1228.40004
Karakaya, Vatan; Noman, Abdullah K.; Polat, Harun
2011
Some geometric and topological properties of a new sequence space defined by de la Vallée-Poussin mean. Zbl 1200.46006
Şimşek, Necip; Savaş, Ekrem; Karakaya, Vatan
2010
On some vector valued generalized difference modular sequence spaces. Zbl 1265.46009
Karakaya, Vatan; Dutta, Hemen
2011
Jungck-Khan iterative scheme and higher convergence rate. Zbl 1382.47025
Khan, Abdul Rahim; Gürsoy, Faik; Karakaya, Vatan
2016
Correction: “$$n$$-tuplet fixed point theorems for contractive type mappings in partially ordered metric spaces”. Zbl 1284.54056
Ertürk, Mzeyyen; Karakaya, Vatan
2013
Fine spectra of lacunary matrices. Zbl 1176.47008
Altun, Muhammed; Karakaya, Vatan
2009
Some geometric properties of a new difference sequence space involving lacunary sequences. Zbl 1313.46011
Karakaş, Murat; Et, Mikail; Karakaya, Vatan
2013
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 1188.46005
Şimşek, Necip; Karakaya, Vatan
2009
Fixed point of a new three-step iteration algorithm under contractive-like operators over normed spaces. Zbl 1364.47026
Karakaya, Vatan; Doğan, Kadri; Gürsoy, Faik; Ertürk, Müzeyyen
2013
$$n$$-tuplet fixed point theorems for contractive type mappings in partially ordered metric spaces. Zbl 1279.54027
Ertürk, Müzeyyen; Karakaya, Vatan
2013
Some $$\ell (p)$$-type new sequence spaces and their geometric properties. Zbl 1188.46006
Savaş, Ekrem; Karakaya, Vatan; Şimşek, Necip
2009
Some geometric properties of a new difference sequence space defined by de la Vallée-Poussin mean. Zbl 1317.46014
Et, Mikail; Karakaş, Murat; Karakaya, Vatan
2014
$$\lambda$$-statistical convergence of sequences of functions in intuitionistic fuzzy normed spaces. Zbl 1260.40007
Karakaya, Vatan; Şimşek, Necip; Ertürk, Müzeyyen; Gürsoy, Faik
2012
On the fine spectrum of the second order difference operator over the sequence spaces $$\ell_p$$ and $$bv_p$$, ($$1<p<\infty$$). Zbl 1255.47037
Karakaya, Vatan; Manafov, Manaf Dzh.; Şimşek, Necip
2012
An iterative method and its application to stable inversion. Zbl 1418.47007
Gürsoy, Faik; Arnoldi Eksteen, Johannes Jacobus; Khan, Abdul Rahim; Karakaya, Vatan
2019
Some new sequence spaces defined by lacunary sequences. Zbl 1150.40003
Savas, Ekrem; Karakaya, Vatan
2007
Some paranormed Euler sequence spaces of difference sequences of order $$m$$. Zbl 1340.46007
Karakaya, Vatan; Savaş, Ekrem; Polat, Harun
2013
Banach-Saks type and Gurariǐ modulus of convexity of some Banach sequence spaces. Zbl 1468.46024
Hudzik, Henryk; Karakaya, Vatan; Mursaleen, Mohammad; Simsek, Necip
2014
On lacunary $$\sigma$$-statistical convergence. Zbl 1113.60306
Karakaya, Vatan
2004
On lacunary invariant sequence spaces defined by a sequence of modulus functions. Zbl 1071.46009
Karakaya, Vatan; Şimşek, Necip
2004
On some geometrical properties of certain vector-valued sequence spaces. Zbl 1202.46022
Şimşek, Necip; Karakaya, Vatan
2010
Lacunary statistical convergence of sequences of functions in intuitionistic fuzzy normed space. Zbl 1305.40005
Karakaya, Vatan; Simsek, Necip; Gürsoy, Faik; Ertürk, Müzeyyen
2014
Data dependence results for multistep and CR iterative schemes in the class of contractive-like operators. Zbl 1364.47027
Karakaya, Vatan; Gürsoy, Faik; Doğan, Kadri; Ertürk, Müzeyyen
2013
Statistical convergence of sequences of functions in intuitionistic fuzzy normed spaces. Zbl 1256.40003
Karakaya, Vatan; Şimşek, Necip; Ertürk, Müzeyyen; Gürsoy, Faik
2012
Coincidences of nonself operators by a simpler algorithm. Zbl 07143782
Gürsoy, Faik; Khan, Abdul Rahim; Ertürk, Müzeyyen; Karakaya, Vatan
2020
On different type of fixed point theorem for multivalued mappings via measure of noncompactness. Zbl 1435.47053
Bouzara, Nour El Houda; Karakaya, Vatan
2018
On some further generalizations of strong convergence in probabilistic metric spaces using ideals. Zbl 1470.40002
Das, Pratulananda; Dutta, Kaustubh; Karakaya, Vatan; Ghosal, Sanjoy
2013
Weak $$w^{2}$$-stability and data dependence of Mann iteration method in Hilbert spaces. Zbl 1450.47028
Gürsoy, Faik; Khan, Abdul Rahim; Ertürk, Müzeyyen; Karakaya, Vatan
2019
Some convergence and data dependence results for various fixed point iterative methods. Zbl 1463.47209
Karakaya, Vatan; Gürsoy, Faik; Ertürk, Müzeyyen
2016
Existence and convergence for a new multivalued hybrid mapping in CAT$$(\kappa)$$ spaces. Zbl 1413.54123
Hacioğlu, Emirhan; Karakaya, Vatan
2017
Measure of non-compactness in the study of solutions for a system of integral equations. Zbl 1451.45003
Karakaya, Vatan; Mursaleen, Mohammad; Bouzara, Nour El Houda; Sekman, Derya
2019
Some fixed point results for a multivalued generalization of generalized hybrid mappings in $$CAT(\kappa)$$-spaces. Zbl 1412.47125
Hacıoğlu, Emirhan; Karakaya, Vatan
2018
$$n$$-tuplet coincidence point theorems in intuitionistic fuzzy normed spaces. Zbl 1471.47046
Ertürk, Müzeyyen; Karakaya, Vatan
2014
Inclusion theorems for double lacunary sequence spaces. Zbl 1101.40002
Savaş, E.; Karakaya, Vatan; Patterson, R. F.
2005
On some geometric properties of a new paranormed sequence space. Zbl 1306.46006
Karakaya, Vatan; Altun, Fatma
2014
On almost $$p$$-bounded variation of lacunary sequences. Zbl 1217.40002
Karakaya, Vatan; Savas, Ekrem
2011
Structure and some geometric properties of generalized Cesaro sequence space. Zbl 1149.46303
Şimşek, Necip; Karakaya, Vatan
2008
Some new sequence spaces defined by a sequence of Orlicz functions. Zbl 1101.46302
Karakaya, Vatan
2005
On some properties of new paranormed sequence space of nonabsolute type. Zbl 1254.46009
Karakaya, Vatan; Şimşek, Necip
2012
Notes on the spectral properties of the weighted mean difference operator $$G(u,v;\Delta)$$ over the sequence space $$\ell_1$$. Zbl 1363.47009
Karakaya, Vatan; Erdogan, Ezgi
2016
The local and semilocal convergence analysis of new Newton-like iteration methods. Zbl 1436.49038
Karakaya, Vatan; Doğan, Kadri; Atalan, Yunus; Bouzara, Nour El Houda
2018
On the $$F$$-contraction properties of multivalued integral type transformations. Zbl 1449.47098
Sekman, Derya; Karakaya, Vatan
2019
Approximation of fixed point of accretive operators based on a Halpern-Type iterative method. Zbl 1413.47105
2017
A new difference sequence set of order $$\alpha$$ and its geometrical properties. Zbl 1449.46004
Et, Mikail; Karakaya, Vatan
2014
Some convergence and stability results for the Kirk multistep and Kirk-SP fixed point iterative algorithms. Zbl 1473.47035
Gürsoy, Faik; Karakaya, Vatan; Rhoades, B. E.
2014
On $$F$$-weak contraction of generalized multivalued integral type mappings with $$\alpha$$-admissible. Zbl 1474.54175
Karakaya, Vatan; Şimşek, Necip; Sekman, Derya
2020
Convergence and data dependence results for hemicontractive operators. Zbl 1474.47123
Ertürk, Müzeyyen; Khan, Abdul Rahim; Karakaya, Vatan; Gürsoy, Faik
2017
Coincidences of nonself operators by a simpler algorithm. Zbl 07143782
Gürsoy, Faik; Khan, Abdul Rahim; Ertürk, Müzeyyen; Karakaya, Vatan
2020
On $$F$$-weak contraction of generalized multivalued integral type mappings with $$\alpha$$-admissible. Zbl 1474.54175
Karakaya, Vatan; Şimşek, Necip; Sekman, Derya
2020
An iterative method and its application to stable inversion. Zbl 1418.47007
Gürsoy, Faik; Arnoldi Eksteen, Johannes Jacobus; Khan, Abdul Rahim; Karakaya, Vatan
2019
Weak $$w^{2}$$-stability and data dependence of Mann iteration method in Hilbert spaces. Zbl 1450.47028
Gürsoy, Faik; Khan, Abdul Rahim; Ertürk, Müzeyyen; Karakaya, Vatan
2019
Measure of non-compactness in the study of solutions for a system of integral equations. Zbl 1451.45003
Karakaya, Vatan; Mursaleen, Mohammad; Bouzara, Nour El Houda; Sekman, Derya
2019
On the $$F$$-contraction properties of multivalued integral type transformations. Zbl 1449.47098
Sekman, Derya; Karakaya, Vatan
2019
Convergence and data dependency of normal-$$S$$ iterative method for discontinuous operators on Banach space. Zbl 06866006
Gürsoy, Faik; Khan, Abdul Rahim; Ertürk, Müzeyyen; Karakaya, Vatan
2018
On different type of fixed point theorem for multivalued mappings via measure of noncompactness. Zbl 1435.47053
Bouzara, Nour El Houda; Karakaya, Vatan
2018
Some fixed point results for a multivalued generalization of generalized hybrid mappings in $$CAT(\kappa)$$-spaces. Zbl 1412.47125
Hacıoğlu, Emirhan; Karakaya, Vatan
2018
The local and semilocal convergence analysis of new Newton-like iteration methods. Zbl 1436.49038
Karakaya, Vatan; Doğan, Kadri; Atalan, Yunus; Bouzara, Nour El Houda
2018
Some fixed point results for a new three steps iteration process in Banach spaces. Zbl 1441.47085
Karakaya, Vatan; Atalan, Yunus; Dogan, Kadri; Bouzara, Nour El Houda
2017
Existence and convergence for a new multivalued hybrid mapping in CAT$$(\kappa)$$ spaces. Zbl 1413.54123
Hacioğlu, Emirhan; Karakaya, Vatan
2017
Approximation of fixed point of accretive operators based on a Halpern-Type iterative method. Zbl 1413.47105
2017
Convergence and data dependence results for hemicontractive operators. Zbl 1474.47123
Ertürk, Müzeyyen; Khan, Abdul Rahim; Karakaya, Vatan; Gürsoy, Faik
2017
Jungck-Khan iterative scheme and higher convergence rate. Zbl 1382.47025
Khan, Abdul Rahim; Gürsoy, Faik; Karakaya, Vatan
2016
Some convergence and data dependence results for various fixed point iterative methods. Zbl 1463.47209
Karakaya, Vatan; Gürsoy, Faik; Ertürk, Müzeyyen
2016
Notes on the spectral properties of the weighted mean difference operator $$G(u,v;\Delta)$$ over the sequence space $$\ell_1$$. Zbl 1363.47009
Karakaya, Vatan; Erdogan, Ezgi
2016
Korovkin type approximation theorems for weighted $$\alpha \beta$$-statistical convergence. Zbl 1317.41006
Karakaya, Vatan; Karaisa, Ali
2015
Some convergence and stability results for two new Kirk type hybrid fixed point iterative algorithms. Zbl 1471.47043
Gürsoy, Faik; Karakaya, Vatan
2014
Some geometric properties of a new difference sequence space defined by de la Vallée-Poussin mean. Zbl 1317.46014
Et, Mikail; Karakaş, Murat; Karakaya, Vatan
2014
Banach-Saks type and Gurariǐ modulus of convexity of some Banach sequence spaces. Zbl 1468.46024
Hudzik, Henryk; Karakaya, Vatan; Mursaleen, Mohammad; Simsek, Necip
2014
Lacunary statistical convergence of sequences of functions in intuitionistic fuzzy normed space. Zbl 1305.40005
Karakaya, Vatan; Simsek, Necip; Gürsoy, Faik; Ertürk, Müzeyyen
2014
$$n$$-tuplet coincidence point theorems in intuitionistic fuzzy normed spaces. Zbl 1471.47046
Ertürk, Müzeyyen; Karakaya, Vatan
2014
On some geometric properties of a new paranormed sequence space. Zbl 1306.46006
Karakaya, Vatan; Altun, Fatma
2014
A new difference sequence set of order $$\alpha$$ and its geometrical properties. Zbl 1449.46004
Et, Mikail; Karakaya, Vatan
2014
Some convergence and stability results for the Kirk multistep and Kirk-SP fixed point iterative algorithms. Zbl 1473.47035
Gürsoy, Faik; Karakaya, Vatan; Rhoades, B. E.
2014
Data dependence results of new multi-step and S-iterative schemes for contractive-like operators. Zbl 1423.47041
Gürsoy, Faik; Karakaya, Vatan; Rhoades, Billy E.
2013
Correction: “$$n$$-tuplet fixed point theorems for contractive type mappings in partially ordered metric spaces”. Zbl 1284.54056
Ertürk, Mzeyyen; Karakaya, Vatan
2013
Some geometric properties of a new difference sequence space involving lacunary sequences. Zbl 1313.46011
Karakaş, Murat; Et, Mikail; Karakaya, Vatan
2013
Fixed point of a new three-step iteration algorithm under contractive-like operators over normed spaces. Zbl 1364.47026
Karakaya, Vatan; Doğan, Kadri; Gürsoy, Faik; Ertürk, Müzeyyen
2013
$$n$$-tuplet fixed point theorems for contractive type mappings in partially ordered metric spaces. Zbl 1279.54027
Ertürk, Müzeyyen; Karakaya, Vatan
2013
Some paranormed Euler sequence spaces of difference sequences of order $$m$$. Zbl 1340.46007
Karakaya, Vatan; Savaş, Ekrem; Polat, Harun
2013
Data dependence results for multistep and CR iterative schemes in the class of contractive-like operators. Zbl 1364.47027
Karakaya, Vatan; Gürsoy, Faik; Doğan, Kadri; Ertürk, Müzeyyen
2013
On some further generalizations of strong convergence in probabilistic metric spaces using ideals. Zbl 1470.40002
Das, Pratulananda; Dutta, Kaustubh; Karakaya, Vatan; Ghosal, Sanjoy
2013
Weighted statistical convergence and its application to Korovkin type approximation theorem. Zbl 1262.40004
Mursaleen, Mohammad; Karakaya, Vatan; Ertürk, Müzeyyen; Gürsoy, Faik
2012
$$\lambda$$-statistical convergence of sequences of functions in intuitionistic fuzzy normed spaces. Zbl 1260.40007
Karakaya, Vatan; Şimşek, Necip; Ertürk, Müzeyyen; Gürsoy, Faik
2012
On the fine spectrum of the second order difference operator over the sequence spaces $$\ell_p$$ and $$bv_p$$, ($$1<p<\infty$$). Zbl 1255.47037
Karakaya, Vatan; Manafov, Manaf Dzh.; Şimşek, Necip
2012
Statistical convergence of sequences of functions in intuitionistic fuzzy normed spaces. Zbl 1256.40003
Karakaya, Vatan; Şimşek, Necip; Ertürk, Müzeyyen; Gürsoy, Faik
2012
On some properties of new paranormed sequence space of nonabsolute type. Zbl 1254.46009
Karakaya, Vatan; Şimşek, Necip
2012
Measure of noncompactness of matrix operators on some difference sequence spaces of weighted means. Zbl 1247.47009
Mursaleen, M.; Karakaya, V.; Polat, H.; Simşek, N.
2011
Difference sequence spaces derived by using a generalized weighted mean. Zbl 1223.46005
Polat, Harun; Karakaya, Vatan; Şimşek, Necip
2011
On paranormed $$\lambda$$-sequence spaces of non-absolute type. Zbl 1228.40004
Karakaya, Vatan; Noman, Abdullah K.; Polat, Harun
2011
On some vector valued generalized difference modular sequence spaces. Zbl 1265.46009
Karakaya, Vatan; Dutta, Hemen
2011
On almost $$p$$-bounded variation of lacunary sequences. Zbl 1217.40002
Karakaya, Vatan; Savas, Ekrem
2011
Fine spectra of upper triangular double-band matrices. Zbl 1193.47006
Karakaya, Vatan; Altun, Muhammed
2010
Some new paranormed sequence spaces defined by Euler and difference operators. Zbl 1224.46009
Karakaya, Vatan; Polat, Harun
2010
Schauder basis, separability, and approximation property in intuitionistic fuzzy normed space. Zbl 1219.46070
Mursaleen, M.; Karakaya, V.; Mohiuddine, S. A.
2010
Some geometric and topological properties of a new sequence space defined by de la Vallée-Poussin mean. Zbl 1200.46006
Şimşek, Necip; Savaş, Ekrem; Karakaya, Vatan
2010
On some geometrical properties of certain vector-valued sequence spaces. Zbl 1202.46022
Şimşek, Necip; Karakaya, Vatan
2010
Fine spectra of lacunary matrices. Zbl 1176.47008
Altun, Muhammed; Karakaya, Vatan
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 1188.46005
Şimşek, Necip; Karakaya, Vatan
2009
Some $$\ell (p)$$-type new sequence spaces and their geometric properties. Zbl 1188.46006
Savaş, Ekrem; Karakaya, Vatan; Şimşek, Necip
2009
Structure and some geometric properties of generalized Cesaro sequence space. Zbl 1149.46303
Şimşek, Necip; Karakaya, Vatan
2008
Some geometric properties of sequence spaces involving lacunary sequence. Zbl 1132.46010
Karakaya, Vatan
2007
Some new sequence spaces defined by lacunary sequences. Zbl 1150.40003
Savas, Ekrem; Karakaya, Vatan
2007
Inclusion theorems for double lacunary sequence spaces. Zbl 1101.40002
Savaş, E.; Karakaya, Vatan; Patterson, R. F.
2005
Some new sequence spaces defined by a sequence of Orlicz functions. Zbl 1101.46302
Karakaya, Vatan
2005
On lacunary $$\sigma$$-statistical convergence. Zbl 1113.60306
Karakaya, Vatan
2004
On lacunary invariant sequence spaces defined by a sequence of modulus functions. Zbl 1071.46009
Karakaya, Vatan; Şimşek, Necip
2004
all top 5

#### Cited by 258 Authors

 34 Karakaya, Vatan 26 Mursaleen, Mohammad 17 Mohiuddine, Syed Abdul 15 Alotaibi, Abdullah M. 13 Gürsoy, Faik 12 Braha, Naim Latif 10 Ertürk, Müzeyyen 10 Et, Mikail 10 Kadak, Ugur 10 Srivastava, Hari Mohan 9 Şimşek, Necip 8 Basarir, Metin 8 Ghosal, Sanjoy Kr 8 Paikray, Susanta Kumar 8 Savaş, Ekrem 8 Srivastava, Parmeshwary Dayal 7 Jena, Bidu Bhusan 7 Karaisa, Ali 7 Khan, Abdul Rahim 6 Dutta, Hemen 6 El-Shabrawy, Saad R. 6 Kara, Emrah Evren 5 Das, Rituparna 5 Hazarika, Bipan 5 Konca, Şükran 5 Kumar, Vivek 4 Altin, Yavuz 4 Altun, Muhammed 4 Bakery, Awad A. 4 Baliarsingh, Pinakadhar 4 Chugh, Renu 4 Das, Pratulananda 4 Hazar Güleç, Güllü Canan 4 Khan, Faisal 3 Abbas, Mujahid 3 Altundag, Selma 3 Atalan, Yunus 3 Başar, Feyzi 3 Çolak, Rifat 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 Mansour, Toufik 3 Meng, Jian 3 Mishra, Vishnu Narayan 3 Ojha, Sarita 3 Sarigöl, Mehmet Ali 3 Sekman, Derya 2 Abyar, Elahe 2 Akhmedov, Ali M. 2 Alamri, Badriah A. S. 2 Alghamdi, Mohammed Ali 2 Ali, Javid 2 Altinok, Hifsi 2 Aral, Nazlim Deniz 2 Birbonshi, Riddhick 2 Bişgin, Mustafa Cemil 2 Çakan, Celal 2 Demiriz, Serkan 2 Doğan, Kadri 2 Đolović, Ivana 2 Dutta, Kaustubh 2 Dutta, Salila 2 Ghaemi, Mohammad Bagher 2 Ghosh, Avishek 2 Hussain, Nawab 2 İlkhan Kara, Merve 2 Jebril, Iqbal Hamzh 2 Karakaş, Murat 2 Karapınar, Erdal 2 Kotarski, Wiesław 2 Maji, Amit 2 Misra, Uma Kanta 2 Mongkolkeha, Chirasak 2 Noman, Abdullah Kaid 2 Okeke, Godwin Amechi 2 Özger, Faruk 2 Patro, M. 2 Polat, Harun 2 Rauf, Kamilu 2 Ritika 2 Sharma, Sunil Kumar 2 Sintunavarat, Wutiphol 2 Song, Meimei 2 Tamang, Karan 2 Ullah, Kifayat 2 Wahab, Olalekan Taofeekk 2 Yaying, Taja 2 Yeşilkayagil, Medine 2 Yildirim, Mustafa 1 Abay Tok, Merve 1 Abu-Janah, Suad H. 1 Acar, Tuncer 1 Acu, Ana Maria ...and 158 more Authors
all top 5

#### Cited in 85 Serials

 32 Journal of Inequalities and Applications 31 Abstract and Applied Analysis 17 Applied Mathematics and Computation 13 Journal of Function Spaces 11 Numerical Functional Analysis and Optimization 7 Journal of Mathematical Analysis and Applications 7 Filomat 7 Advances in Difference Equations 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Journal of the Egyptian Mathematical Society 4 Journal of Applied Mathematics and Computing 3 Linear and Multilinear Algebra 3 Ukrainian Mathematical Journal 3 International Journal of Mathematics and Mathematical Sciences 3 Results in Mathematics 3 Computational and Applied Mathematics 3 Soft Computing 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 Operators and Matrices 3 Afrika Matematika 3 Sahand Communications in Mathematical Analysis 2 Mathematical Methods in the Applied Sciences 2 Kyungpook Mathematical Journal 2 Mathematica Slovaca 2 Quaestiones Mathematicae 2 Mathematical and Computer Modelling 2 Arab Journal of Mathematical Sciences 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Kragujevac Journal of Mathematics 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 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 Applications and Applied Mathematics 2 Banach Journal of Mathematical Analysis 2 Asian-European Journal of Mathematics 2 Journal of Mathematics 2 Journal of Linear and Topological Algebra 2 Cogent Mathematics 1 Computers & Mathematics with Applications 1 Demonstratio Mathematica 1 Journal of Computational and Applied Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Ricerche di Matematica 1 Applied Numerical Mathematics 1 Facta Universitatis. Series Mathematics and Informatics 1 Applied Mathematics Letters 1 Science in China. Series A 1 Numerical Algorithms 1 Turkish Journal of Mathematics 1 Journal of Mathematical Chemistry 1 Journal of Applied Analysis 1 Positivity 1 Communications of the Korean Mathematical Society 1 Acta Mathematica Sinica. English Series 1 Journal of Applied Mathematics 1 Thai Journal of Mathematics 1 Journal of the Indonesian Mathematical Society 1 Mediterranean Journal of Mathematics 1 Journal of Industrial and Management Optimization 1 Journal of Fixed Point Theory and Applications 1 Complex Analysis and Operator Theory 1 Applicable Analysis and Discrete Mathematics 1 European Journal of Pure and Applied Mathematics 1 Tbilisi Mathematical Journal 1 Journal of Nonlinear Science and Applications 1 Acta Universitatis Sapientiae. Mathematica 1 Advances in Fuzzy Systems 1 Applied General Topology 1 Azerbaijan Journal of Mathematics 1 Bulletin of Mathematical Sciences 1 Journal of Mathematical Extension 1 Arabian Journal of Mathematics 1 Journal of Applied Analysis and Computation 1 Palestine Journal of Mathematics 1 International Journal of Analysis 1 Chinese Journal of Mathematics 1 Open Mathematics 1 Korean Journal of Mathematics 1 Constructive Mathematical Analysis
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#### Cited in 24 Fields

 125 Sequences, series, summability (40-XX) 105 Functional analysis (46-XX) 102 Operator theory (47-XX) 57 Approximations and expansions (41-XX) 24 General topology (54-XX) 16 Numerical analysis (65-XX) 10 Real functions (26-XX) 10 Difference and functional equations (39-XX) 5 Probability theory and stochastic processes (60-XX) 4 Number theory (11-XX) 4 Ordinary differential equations (34-XX) 4 Integral equations (45-XX) 3 Mathematical logic and foundations (03-XX) 3 Measure and integration (28-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General algebraic systems (08-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX)