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Sahand Communications in Mathematical Analysis - Volume:7 Issue: 1, Summer 2017

Sahand Communications in Mathematical Analysis
Volume:7 Issue: 1, Summer 2017

  • تاریخ انتشار: 1396/09/30
  • تعداد عناوین: 8
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  • Some properties and results for certain subclasses of starlike and convex functions
    Mohammad Taati, Sirous Moradi *, Shahram Najafzadeh Pages 1-15
    In the present paper, we introduce and investigate some properties of two subclasses Λn(λ,β) and Λ(λ,β); meromorphic and starlike functions of order β. In particular, several inclusion relations, coefficient estimates, distortion theorems and covering theorems are proven here for each of these function classes.
    Keywords: Analytic functions, Starlike functions, Convex functions, Coefficient estimates
    Abstract View Paper Research/Original Article Original: English
  • On some results of entire functions of two complex variables using their relative lower order
    Sanjib Kumar Datta *, Tanmay Biswas, Golok Kumar Mondal Pages 17-26
    Some basic properties relating to relative lower order of entire functions of two complex variables are discussed in this paper.
    Keywords: Entire functions of two complex variables, Relative lower order of two complex variables, Property(A)
    Abstract View Paper Research/Original Article Original: English
  • On the reducible M-ideals in Banach spaces
    Sajad Khorshidvandpour *, Abdolmohammad Aminpour Pages 27-37
    The object of the investigation is to study reducible M-ideals in Banach spaces. It is shown that if the number of M-ideals in a Banach space X is n(
    Keywords: M-ideal, Reducible M-ideal, Maximal M-ideal, M-embedded space, Semi reducible M-ideal
    Abstract View Paper Research/Original Article Original: English
  • Some notes for topological centers on the duals of Banach algebras
    Kazem Haghnejad Azar *, Masoumeh Mousavi Amiri Pages 39-48
    We introduce the weak topological centers of left and right module actions and we study some of their properties. We investigate the relationship between these new concepts and the topological centers of of left and right module actions with some results in the group algebras.
    Keywords: Topological center, Weak topological center, Arens regularity, Module action, n-th dual
    Abstract View Paper Research/Original Article Original: English
  • Fixed and common fixed points for (ψ,φ)-weakly contractive mappings in b-metric spaces
    Hamid Faraji, Kourosh Nourouzi * Pages 49-62
    In this paper, we give a fixed point theorem for (ψ,φ)-weakly contractive mappings in complete b-metric spaces. We also give a common fixed point theorem for such mappings in complete b-metric spaces via altering functions. The given results generalize two known results in the setting of metric spaces. Two examples are given to verify the given results.
    Keywords: Fixed point, b-Metric space, $(psi, varphi)$-Weakly contractive mapping, Altering distance function
    Abstract View Paper Research/Original Article Original: English
  • Certain subclasses of bi-univalent functions associated with the Aghalary-Ebadian-Wang operator
    Hamid Shojaei * Pages 63-73
    In this paper, we introduce and investigate two new subclasses of the functions class Σ of bi-univalent functions defined in the open unit disk, which are associated with the Aghalary-Ebadian-Wang operator. We estimate the coefficients |a2| and |a3| for functions in these new subclasses. Several consequences of the result are also pointed out.
    Keywords: Analytic functions, Bi-univalent functions, Univalent functions, Convolution operator
    Abstract View Paper Research/Original Article Original: English
  • G-asymptotic contractions in metric spaces with a graph and fixed point results
    Kamal Fallahi * Pages 75-83
    In this paper, we discuss the existence and uniqueness of fixed points for G-asymptotic contractions in metric spaces endowed with a graph. The result given here is a new version of Kirk's fixed point theorem for asymptotic contractions in metric spaces endowed with a graph. The given result here is a generalization of fixed point theorem for asymptotic contraction from metric s paces to metric spaces endowed with a graph.
    Keywords: G-asymptotic contraction, Orbitally G-continuous self-map, Fixed point
    Abstract View Paper Research/Original Article Original: English
  • Coupled fixed point results for α-admissible Mizoguchi-Takahashi contractions in b-metric spaces with applications
    Vahid Parvaneh *, Nawab Hussain, Hasan Hosseinzadeh, Peyman Salimi Pages 85-104
    The aim of this paper is to establish some fixed point theorems for α-admissible Mizoguchi-Takahashi contractive mappings defined on a b-metric space which generalize the results of Gordji and Ramezani \cite{Roshan6}. As a result, we obtain some coupled fixed point theorems which generalize the results of '{C}iri'{c} {et al.} \cite{Ciric3}. We also present an application in order to illustrate the effectiveness of our results.
    Keywords: b-metric space, Partially ordered set, Coupled fixed point, Mixed monotone property
    Abstract View Paper Research/Original Article Original: English