Displaying all 10 publications

Abstract:
Sort:
  1. Dawood S, Kılıçman A
    ScientificWorldJournal, 2014;2014:675761.
    PMID: 25215328 DOI: 10.1155/2014/675761
    We extend the path lifting property in homotopy theory for topological spaces to bitopological semigroups and we show and prove its role in the C(ℵ)-fibration property. We give and prove the relationship between the C(ℵ)-fibration property and an approximate fibration property. Furthermore, we study the pullback maps for C(ℵ)-fibrations.
  2. Bulama LM, Kılıçman A
    Springerplus, 2016;5:103.
    PMID: 26877901 DOI: 10.1186/s40064-016-1723-6
    The aim of this article is to expand and generalize some approximation methods proposed by Tian and Di (J Fixed Point Appl, 2011. doi:10.1186/1687-1812-21) to the class of [Formula: see text]-total asymptotically strict pseudocontraction to solve the fixed point problem as well as variational inequality problem in the frame work of Hilbert space. Further, the results presented in this paper extend, improve and also generalize several known results in the literature .
  3. Kılıçman A, Omran M
    Springerplus, 2016;5:100.
    PMID: 26877898 DOI: 10.1186/s40064-016-1711-x
    In this article, we define the fractional Mellin transform by using Riemann-Liouville fractional integral operator and Caputo fractional derivative of order [Formula: see text] and study some of their properties. Further, some properties are extended to fractional way for Mellin transform.
  4. Kılıçman A, Saleh W
    J Inequal Appl, 2018;2018(1):353.
    PMID: 30839923 DOI: 10.1186/s13660-018-1944-z
    The authors define a class of functions on Riemannian manifolds, which are called geodesic semilocal E-preinvex functions, as a generalization of geodesic semilocal E-convex and geodesic semi E-preinvex functions, and some of its properties are established. Furthermore, a nonlinear fractional multiobjective programming is considered, where the functions involved are geodesic E-η-semidifferentiability, sufficient optimality conditions are obtained. A dual is formulated and duality results are proved by using concepts of geodesic semilocal E-preinvex functions, geodesic pseudo-semilocal E-preinvex functions, and geodesic quasi-semilocal E-preinvex functions.
  5. Shokrollahi F, Kılıçman A
    Springerplus, 2016;5(1):1145.
    PMID: 27504243 DOI: 10.1186/s40064-016-2784-2
    This research aims to investigate a model for pricing of currency options in which value governed by the fractional Brownian motion model (FBM). The fractional partial differential equation and some Greeks are also obtained. In addition, some properties of our pricing formula and simulation studies are presented, which demonstrate that the FBM model is easy to use.
  6. Guezane-Lakoud A, Khaldi R, Kılıçman A
    Springerplus, 2016;5(1):1504.
    PMID: 27652077 DOI: 10.1186/s40064-016-3172-7
    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 analysis we show that the original problem is solvable. An example is given to illustrate the obatined results.
  7. Sarfaraz M, Ahmad MK, Kılıçman A
    J Inequal Appl, 2017;2017(1):81.
    PMID: 28479833 DOI: 10.1186/s13660-017-1351-x
    The resolvent operator approach is applied to address a system of generalized ordered variational inclusions with ⊕ operator in real ordered Banach space. With the help of the resolvent operator technique, Li et al. (J. Inequal. Appl. 2013:514, 2013; Fixed Point Theory Appl. 2014:122, 2014; Fixed Point Theory Appl. 2014:146, 2014; Appl. Math. Lett. 25:1384-1388, 2012; Fixed Point Theory Appl. 2013:241, 2013; Eur. J. Oper. Res. 16(1):1-8, 2011; Fixed Point Theory Appl. 2014:79, 2014; Nonlinear Anal. Forum 13(2):205-214, 2008; Nonlinear Anal. Forum 14: 89-97, 2009) derived an iterative algorithm for approximating a solution of the considered system. Here, we prove an existence result for the solution of the system of generalized ordered variational inclusions and deal with a convergence scheme for the algorithms under some appropriate conditions. Some special cases are also discussed.
  8. Rizvi HA, Kılıçman A, Ahmad R
    ScientificWorldJournal, 2014;2014:807324.
    PMID: 25121137 DOI: 10.1155/2014/807324
    We extend the concept of relaxed α-monotonicity to mixed relaxed α-β-monotonicity. The concept of mixed relaxed α-β-monotonicity is more general than many existing concepts of monotonicities. Finally, we apply this concept and well known KKM-theory to obtain the solution of generalized equilibrium problem.
  9. Abdulnaby ZE, Ibrahim RW, Kılıçman A
    Springerplus, 2016;5(1):893.
    PMID: 27386341 DOI: 10.1186/s40064-016-2563-0
    Recently, the study of the fractional formal (operators, polynomials and classes of special functions) has been increased. This study not only in mathematics but extended to another topics. In this effort, we investigate a generalized integro-differential operator [Formula: see text] defined by a fractional formal (fractional differential operator) and study some its geometric properties by employing it in new subclasses of analytic univalent functions.
  10. Soleymani F, Sharifi M, Karimi Vanani S, Khaksar Haghani F, Kılıçman A
    ScientificWorldJournal, 2014;2014:560931.
    PMID: 25215323 DOI: 10.1155/2014/560931
    A new iterative scheme has been constructed for finding minimal solution of a rational matrix equation of the form X + A*X (-1) A = I. The new method is inversion-free per computing step. The convergence of the method has been studied and tested via numerical experiments.
Filters
Contact Us

Please provide feedback to Administrator (afdal@afpm.org.my)

External Links