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  • On classicaln-absorbing submodules 
    Naji, Osama A. (SPRINGER HEIDELBERG, 2020)
    LetRa commutative ring with identity andMbe a unitaryR-module. In this paper, we investigate some properties ofn-absorbing submodules ofMas a generalization of 2-absorbing submodules. We also define the classicaln-absorbing ...
  • On common fixed points of non-Lipschitzian semigroups in a hyperbolic metric space endowed with a graph 
    Aggarwal, G; Uddin, I; Sahin, A (2023)
    In this paper, the existence theorem of a common fixed point for a semigroup of contraction mappings defined on a metric space endowed with a graph G has been proved. Also, the existence theorem of a common fixed point for ...
  • On compact operators and some Euler B-(m)-difference sequence spaces 
    Başarır, Metin (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2011)
    Altay and Basar (2005) [1] and Altay, Basar and Mursaleen (2006) [2] introduced the Euler sequence spaces e(0)(t), e(c)(t) and e(infinity)(t). Basarir and Kayikci (2009) [3] defined the B-(m)-difference matrix and studied ...
  • On compact operators on the Riesz B-m-difference sequence space 
    Başarır, Metin (SPRINGER INTERNATIONAL PUBLISHING AG, 2012)
    In this paper, we give the characterization of some classes of compact operators given by matrices on the normed sequence space r(p)(q) (B-m), which is a special case or the paranormed Riesz B-m-difference sequence space ...
  • On Complex Fibonacci Quaternions 
    Halıcı, Serpil (SPRINGER BASEL AG, 2013)
    Horadam defined the Fibonacci quaternions and established a few relations for the Fibonacci quaternions. In this paper, we investigate the complex Fibonacci quaternions and give the generating function and Binet formula ...
  • On Complex Fibonacci Quaternions 
    Halıcı, Serpil (SPRINGER BASEL AG, 2013)
    Horadam defined the Fibonacci quaternions and established a few relations for the Fibonacci quaternions. In this paper, we investigate the complex Fibonacci quaternions and give the generating function and Binet formula ...
  • ON Delta-LACUNARY STATISTICAL ASYMPTOTICALLY EQUIVALENT SEQUENCES 
    Başarır, Metin; Altundağ, Selma (UNIV NIS, FAC SCI MATH, 2008)
    This paper presents new definitions which are a natural combination of the definition for asymptotically equivalence Delta-lacunary statistically convergence. Using this definitions we have proved the S-theta(L) ...
  • On Fibonacci Quaternions 
    Halıcı, Serpil (BIRKHAUSER VERLAG AG, 2012)
    In this paper, we investigate the Fibonacci and Lucas quaternions. We give the generating functions and Binet formulas for these quaternions. Moreover, we derive some sums formulas for them.
  • On Fibonacci spinors 
    Erisir, Tulay; Gungor, Mehmet Ali (WORLD SCIENTIFIC PUBL CO PTE LTD, 2020)
    Spinors are used in physics quite extensively. Basically, the forms of use include Dirac four-spinors, Pauli three-spinors and quaternions. Quaternions in mathematics are essentially equivalent to Pauli spin matrices which ...
  • ON FRAMED TZITZEICA CURVES IN EUCLIDEAN SPACE 
    Yazici, Bahar Dogan; Karakus, Siddika Ozkaldi; Tosun, Murat (UNIV NIS, 2022)
    Investigations are very important for non-regular curves in differential geometry. Framed curves have been used recently to study singular curves, and they have many contributions to singularity theory. In this study, ...
  • On generalized difference lacunary statistical convergence in a paranormed space 
    Altundağ, Selma (SPRINGEROPEN, 2013)
    In this article, we introduce the concept of -lacunary statistical convergence and -lacunary strong convergence in a paranormed space. Also, we establish some connections between these concepts.
  • On Generalized Paranormed Statistically Convergent Sequence Spaces Defined by Orlicz Function 
    Başarır, Metin; Altundağ, Selma (HINDAWI PUBLISHING CORPORATION, 2009)
    We define generalized paranormed sequence spaces (c) over bar(sigma, M, p, q, s), (c) over bar (0)(sigma, M, p, q, s) m(sigma, M, p, q, s), and m(0)(sigma, M, p, q, s) defined over a seminormed sequence space (X, q). We ...
  • On generalized Suzuki-Proinov type ?, Z * E -contractions in modular b-metric space 
    Buyukkaya, Abdurrahman; Fulga, Andreea; Ozturk, Mahpeyker (2023)
    Typical research design associated with organic solar cells (OSCs) is conventionally considered time-consuming and laborious because the selection of the materials as the core, pi-acceptor, and terminal groups required for ...
  • On idempotency and tripotency of linear combinations of two commuting tripotent matrices 
    Özdemir, Halim; Sarduvan, Murat; Güler, Nesrin (ELSEVIER SCIENCE INC, 2009)
    Let T-1 and T-2 be two nonzero commuting n x n tripotent matrices and c(1), c(2) two nonzero complex numbers. Necessary and sufficient conditions for the tripotency and the idempotency of c(1)T(1) + c(2)T(2) are obtained. ...
  • On idempotency and tripotency of linear combinations of two commuting tripotent matrices 
    Özdemir, Halim; Sarduvan, Murat; Güler, Nesrin (ELSEVIER SCIENCE INC, 2009)
    Let T-1 and T-2 be two nonzero commuting n x n tripotent matrices and c(1), c(2) two nonzero complex numbers. Necessary and sufficient conditions for the tripotency and the idempotency of c(1)T(1) + c(2)T(2) are obtained. ...
  • On idempotency of linear combinations of idempotent matrices 
    Özdemir, Halim (ELSEVIER SCIENCE INC, 2004)
    P-1, P-2 and P-3 being any three different nonzero mutually commutative n x n idempotent matrices, and C-1 C-2 and C-3 being nonzero scalars, the problem of characterizing some situations, where a linear combination of the ...
  • On instantaneous invariants of hyperbolic planes 
    Abdullah Inalcik; Ersoy, Soley; Hellmuth Stachel (SAGE PUBLICATIONS LTD, 2017)
    In this study, we consider the kinematics of the hyperbolic plane and define the notions of inflection curve, circling-point curve, cubic of twice stationary curvature curve, and cubic of thrice stationary curve. We also ...
  • On linear combinations of two tripotent, idempotent, and involutive matrices 
    Sarduvan, Murat; Özdemir, Halim (ELSEVIER SCIENCE INC, 2008)
    Let A = c(1)A(1) + c(2)A(2), where c(1), c(2) are nonzero complex numbers and (A(1), A(2)) is a pair of two n x n nonzero matrices. We consider the problem of characterizing all situations where a linear combination of the ...
  • On Modified Interpolative Almost e-Type Contraction in Partial Modular b-Metric Spaces 
    Kesik, Dilek; Buyukkaya, Abdurrahman; Ozturk, Mahpeyker (MDPI, 2023)
    The current study attempts to identify a new generalized metric space structure, referred to as partial modular b-metric, that extends both partial modular metric space via b-metric space and explains the topological aspects ...
  • On Modules Satisfying S-Noetherian Spectrum Condition 
    Ozen, Mehmet; Naji, Osama A.; Tekir, Unsal; Koc, Suat (2022)
    Let R be a commutative ring having nonzero identity and M be a unital R-module. Assume that S subset of R is a multiplicatively closed subset of R. Then, M satisfies S-Noetherian spectrum condition if for each submodule N ...