Kenan Taş

Existence and uniqueness of a common fixed point on partial metric spaces

Abstract In this work, a general form of the weak ϕ -contraction is considered on partial metric spaces, to get a common fixed point. It is shown that self-mappings S , T on a complete partial metric space X have a common fixed point if it is a generalized weak ϕ -contraction.

A generalized contraction principle with control functions on partial metric spaces

Partial metric spaces were introduced by Matthews in 1994 as a part of the study of denotational semantics of data flow networks. In this article, we prove a generalized contraction principle with control functions @f and @j on partial metric spaces. The theorems we prove generalize many previously obtained results. We also give some examples showing that our theorems are indeed proper extensions.

Fractional Hamiltonian analysis of higher order derivatives systems

The fractional Hamiltonian analysis of 1+1 dimensional field theory is investigated and the fractional Ostrogradski’s formulation is obtained. The fractional path integral of both simple harmonic oscillator with an acceleration-squares part and a damped oscillator are analyzed. The classical results are obtained when fractional derivatives are replaced with the integer order derivatives.

Generalized (C)-conditions and related fixed point theorems

In this manuscript, the notion of C-condition [K. Suzuki, Fixed point theorems and convergence theorems for some generalized nonexpansive mappings, J. Math. Anal. Appl. 340 (2008) 1088-1095] is generalized. Some new fixed point theorems are obtained.

Coupled Fixed Point Theorems for a Pair of Weakly Compatible Maps along with CLRg Property in Fuzzy Metric Spaces

The aim of this paper is to extend the notions of E.A. property and CLRg property for coupled mappings and use these notions to generalize the recent results of Xin-Qi Hu (2011). The main result is supported by a suitable example.

On coupled fixed point theorems on partially ordered G-metric spaces

In this manuscript, we extend, generalize and enrich some recent coupled fixed point theorems in the framework of partially ordered G-metric spaces in a way that is essentially more natural.MSC:46N40, 47H10, 54H25, 46T99.

Mathematical Methods in Engineering

Preface Fractional mathematics: Fractional calculus and regularized residue of infinite dimensional space, by Asada Akira Fractional spaces generated by the positive differential and difference operators in a Banach space, by Allaberen Ashyralyev Sub-diffusion equations of fractional order and their fundamental solutions, by Francesco Mainardi, Antonio Mura, Gianni Pagnini and Rudolf Gorenflo Neutrices and generalized functions: The composition and neutrix composition of distributions, by Brian Fisher A review on the products of distributions, by UK. Li Some remarks on the incomplete gamma function, by Emin Ozcag, mci Ege, Hamet Giircay and Biljana Jolevska- Tuneska Boundary value problems: One-dimensional wave propagation in functionally graded cylindrical layered media, by Ibrahim Abu-Alshaikh Piecewise constant control of boundary value problem for linear impulsive differential systems, by J.o. Aizabut On nonlocal boundary value problems for hyperbolic-parabolic equations, by Allaberen Ashyralyev and Yildirim Ozdemir On asymptotical behavior of noises solution of Riccati equation arising in linear filtering with shifted noises, by Agamirza E. Bashirov and Zeka Mazhar Isomorphism classes of ordinary elliptic curves over fields of characteristic 3, by Murat Cenk and Ferruh Ozbudak Hidden symmetries of two dimensional superintegrable systems, by Oziem Defterli and Dumitru Baleanu A fourth order accurate difference-analytical method for solving Laplaces boundary value problem with singularities, by A.A. Dosiyev and S. Cival Buranay Modeling of PDE processes with finite dimensional non-autonomous ODE systems, by Mehmet Onder Efe On solutions of discrete nonlinear elliptic boundary value problems, by Gusein 5ff Guseinov Some exact solutions of the (2 + 1)-dimensional Kadomtsev Petviashvil equation, by E. V. Krishnan Varadhan estimates without probability: lower bound, by Remi Leandre Dirichlet problem for orthotropic bounded cylinder withcombined boundary conditions, by Raid Al-Momani and Khalid Al-Momani A numerical analysis of variational finite difference schemes for steady state heat conduction problems with discontinuous coefficients, by Ebru Ozbilge On the solution of a mathematical model of a viscoelastic bar , by Arpad Takaci and Djurdjica Takaci Dynamics of wall bounded flow, by Ozan Tugluk and Hakan I. Tarman Applications of wavelets: Wavelet transform for the simultaneous prediction of the colorants in food product, by Hakan A. Akta, Erdal Dinc, Glizide Pekean, Ozgiir Ustiinda and Aysegiil Tas A review on the wavelet transform applications in analytical chemistry, by Erdal Dinc and Dumitru Baleanu Continuous wavelet analysis for the ratio signals of the absorption spectra of binary mixtures, by Erdal Dinc, Dumitru Baleanu and Kenan Tas Improved incremental self-organizing map for the segmentation of ultrasound images, by Zafer Ican, Zumray Dokur and Tamer Olmez An application of continuous wavelet transform to electrochemical signals for the quantitative analysis, by Incilay Sushi, Erdal Dinc and Sacide Altinoz The threshold of compression in wavelet transform with Haars coefficients - numerical examples, by Zlatko Udovicic Dynamical systems and control theory: 3-D Computerized ionospheric tomography with random field priors, by Orhan Arikan, Feza Arikan and Cemil B. Erol Comparison of fuzzy and Volterra series nonlinear system modeling approaches, by Musa H. Asyali and Musa Alci Novel hardware-oriented algorithms for TDOA positioning technique in cellular networks, by E. Doukhnitch, M. Salamah and A. Sandouka Unknown costs in a duopoly with differentiated products, by Fernamda A. Ferreira, Flavio Ferreira and Alberto A. Pinto Bayesian price leadership, by Fernanda A. Ferreira, Flavio Ferreira and Alberto A. Pinto Comparison of methodologies in river flow prediciton. The Paiva river case, by Rui Goncalves, Alberto Pinto and Francisco Caiheiros A XY spin chain

COMMON FIXED POINT THEOREMS FOR COMPATIBLE MAPPINGS

By using a compatibility condition due to Jungck we establish some common fixed point theorems for four mappings on complete and compact metric spaces These results also generalize a theorem of Sharma and Sahu.

Fixed points for cyclic orbital generalized contractions on complete metric spaces

We prove a fixed point theorem for cyclic orbital generalized contractions on complete metric spaces from which we deduce, among other results, generalized cyclic versions of the celebrated Boyd and Wong fixed point theorem, and Matkowski fixed point theorem. This is done by adapting to the cyclic framework a condition of Meir-Keeler type discussed in [Jachymski J., Equivalent conditions and the Meir-Keeler type theorems, J. Math. Anal. Appl., 1995, 194(1), 293–303]. Our results generalize some theorems of Kirk, Srinavasan and Veeramani, and of Karpagam and Agrawal.

Some results on the non-commutative neutrix product of distributions

It is proved that the non-commutative neutrix product of the distributions x −r and x s ln q |x| exists and for r, q=1, 2, …, s=0,±1,±2, … and r−s>1.