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Mathematics (Theoretical)

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  1. We introduce and study k-commuting permutations. One of our main results is a characterization of permutations that k-commute with a given permutation. Using this characterization, we obtain formulas for the numb...

    Authors: Rutilo Moreno and Luis Manuel Rivera
    Citation: SpringerPlus 2016 5:1949
  2. Here, we extend the notion of (E.A.) property in a convex metric space defined by Kumar and Rathee (Fixed Point Theory Appl 1–14, 2014) by introducing a new class of self-maps which satisfies the common property ...

    Authors: Savita Rathee, Kusum Dhingra and Anil Kumar
    Citation: SpringerPlus 2016 5:1940
  3. The present paper is devoted to infinite order decompositions of C*-algebras. It is proved that an infinite order decomposition (IOD) of a C*-algebra forms the complexification of an order unit space, and, if ...

    Authors: Arzikulov Farhodjon Nematjonovich
    Citation: SpringerPlus 2016 5:1827
  4. In this paper we construct some real algebras by using elementary functions, and discuss some relations between several axioms and its related conditions for such functions. We obtain some conditions for real-...

    Authors: Young Joo Seo and Young Hee Kim
    Citation: SpringerPlus 2016 5:1684
  5. This paper concerns the solvability of a nonlinear fractional boundary value problem at resonance. By using fixed point theorems we prove that the perturbed problem has a solution, then by some ideas from anal...

    Authors: A. Guezane-Lakoud, R. Khaldi and A. Kılıçman
    Citation: SpringerPlus 2016 5:1504
  6. Modified homotopy perturbation method (HPM) was used to solve the hypersingular integral equations (HSIEs) of the first kind on the interval [−1,1] with the assumption that the kernel of the hypersingular int...

    Authors: Z. K. Eshkuvatov, F. S. Zulkarnain, N. M. A. Nik Long and Z. Muminov
    Citation: SpringerPlus 2016 5:1473
  7. Sometimes information in a network model is based on multi-agent, multi-attribute, multi-object, multi-polar information or uncertainty rather than a single bit. An m-polar fuzzy model is useful for such network...

    Authors: Muhammad Akram, Rabia Akmal and Noura Alshehri
    Citation: SpringerPlus 2016 5:1448
  8. In this paper, the existence theorems of solutions for generalized weak vector equilibrium problems are developed in real reflexive Banach spaces. Based on recession method and scalarization technique, we deri...

    Authors: Pakkapon Preechasilp and Rabian Wangkeeree
    Citation: SpringerPlus 2016 5:1345
  9. We investigate in this manuscript the existence of solution for two fractional differential inclusions. At first we discuss the existence of solution of a class of fractional hybrid differential inclusions. T...

    Authors: Dumitru Baleanu, Vahid Hedayati, Shahram Rezapour and Maysaa’ Mohamed Al Qurashi
    Citation: SpringerPlus 2016 5:882
  10. We introduce the notion of relative trace which is motivated by an observation about the category of vector spaces and linear transformations and builds upon the categorical trace of Joyal, Street, and Verity. Fu...

    Authors: Esfandiar Haghverdi
    Citation: SpringerPlus 2016 5:703
  11. The present paper deals with the study of a generalized Mittag-Leffler function and associated fractional operator. The operator has been discussed in the space of Lebesgue measurable functions. The compositio...

    Authors: Rachana Desai, I. A. Salehbhai and A. K. Shukla
    Citation: SpringerPlus 2016 5:683
  12. In this paper we consider, discuss, improve and generalize recent b-(E.A)-property results for mappings in b-metric spaces established by Ozturk and Turkoglu (J Nonlinear Convex Anal 16(10):2059–2066, 2015). Thus...

    Authors: Vildan Ozturk and Stojan Radenović
    Citation: SpringerPlus 2016 5:544
  13. The incomplete gamma function expansion for the perturbed Epstein zeta function is known as Ewald expansion. In this paper we state a special case of the main formula in Kanemitsu and Tsukada (Contributions t...

    Authors: Kalyan Chakraborty, Shigeru Kanemitsu and Haruo Tsukada
    Citation: SpringerPlus 2016 5:99