Some fixed point theorems and common fixed point theorem in Logarithmic convex structure areproved.

Some fixed point theorems and common fixed point theorem in Logarithmic convex structure areproved.

We say a functional equation () is stable if any function g satisfying the equation () approximatelyis near to true solution of (). Using xed point methods, we investigate approximately higherternary derivations in Banach ternary algebras via the Cauchy functional equationf(1x + 2y + 3z) = 1f(x) + 2f(y) + 3f(z) :

This paper presents the following new denition which is a natural combination of the denition forasymptotically double equivalent, double statistically limit and double 2 sequences. The doublesequence 2 = (m;n) of positive real numbers tending to innity such thatm+1;n m;n + 1; m;n+1 m;n + 1;m;n m+1;n m;n+1 m+1;n+1; 1;1 = 1;andIm;n = f(k; l) : m m;n + 1 k m; n m;n + 1 l ng :For double 2sequence; the two non-negative sequences x = (xk;l) and y = (yk;l) are said to be2asymptotically double statistical equivalent of multiple L provided that for every " > 0P limm;n1m;n(k; l) 2 Im;n :xk;lyk;l L "= 0(denoted by xSL2 v y) and simply 2asymptotically double statistical equivalent if L = 1.

In this paper, we study the existence of solutions for fractional evolution equations with nonlocalconditions. These results are obtained using Banach contraction xed point theorem. Other resultsare also presented using Krasnoselskii theorem.

In this paper, we introduce and study a new topology related to a self mapping on a nonempty set.Let X be a nonempty set and let f be a self mapping on X. Then the set of all invariant subsets ofX related to f, i.e. f := fA X : f(A) Ag P(X) is a topology on X. Among other things,we nd the smallest open sets contains a point x 2 X. Moreover, we find the relations between fand To f . For instance, we find the conditions on f to show that whenever f is T0, T1 or T2.

In this paper we introduce a sequential block iterative method and its simultaneous version with op-timal combination of weights (instead of convex combination) for solving convex feasibility problems.When the intersection of the given family of convex sets is nonempty, it is shown that any sequencegenerated by the given algorithms converges to a feasible point. Additionally for linear feasibilityproblems, we give equivalency of our algorithms with sequential and simultaneous block Kaczmarzmethods explaining the optimal weights have been inherently used in Kaczmarz methods. In addi-tion, a convergence result is presented for simultaneous block Kaczmarz for the case of inconsistentlinear system of equations.

In this paper, we discuss the existence and uniqueness of xed points for Banach and Kannancontractions dened on modular spaces endowed with a graph. We do not impose the Δ2-conditionor the Fatou property on the modular spaces to give generalizations of some recent results. Thegiven results play as a modular version of metric xed point results.

In a multi-secret sharing scheme, several secret values are distributed among a set of n participants.In 2000 Chien et al.'s proposed a (t; n) multi-secret sharing scheme. Many storages and publicvalues required in Chien's scheme. Motivated by these concerns, some new (t; n) multi-secret sharingschemes are proposed in this paper based on the Lagrange interpolation formula for polynomials andcipher feedback mode (CFB), which are easier than Chien's scheme in the secret reconstruction andrequire fewer number of public values and storages than Chien's scheme. Also our schemes don'tneed any one-way function and any simultaneous equations.

In this paper, rstly, we obtain some inequalities which estimates complex polynomials on the circles.Then, we use these estimates and a Moebius transformation to obtain the dual of this estimates forthe lines in upper half-plane. Finally, for an increasing weight on the upper half-plane withcertain properties and holomorphic functions f on the upper half-plane we obtain an equivalentrepresentation for weighted supremum norm.

A matrix has an ordinary inverse only if it is square, and even then only if it is nonsingular or, inother words, if its columns (or rows) are linearly independent. In recent years needs have been felt innumerous areas of applied mathematics for some kind of partial inverse of a matrix that is singularor even rectangular. In this paper, some results on the Quasi-commuting inverses, are given andthe eect of them in solving the case of linear system of equations where the coecient matrix is asingular matrix, is illustrated.

In this paper, an attempt is made to present an extension of Darbo's theorem, and its applicationto study the solvability of a functional integral equation of Volterra type.

In this paper, coupled xed point results of Bhaskar-Lakshmikantham type [T. Gnana Bhaskar, V.Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, NonlinearAnalysis 65 (2006) 1379-1393] are extend, generalized, unify and improved by using monotonemappings instead mappings with mixed monotone property. Also, an example is given to supportthese improvements.

In this attempt we proved results on points of coincidence and common xed points for three selfmappings satisfying generalized contractive type conditions in cone metric spaces. Our results gen-eralizes some previous known results in the literature (eg. [5], [6])

In this paper, we investigate the Hyers-Ulam stability for the system of additive, quadratic, cubicand quartic functional equations with constants coecients in the sense of dectic mappings in non-Archimedean normed spaces.

The conditions under which, multilinear forms (the symmetric case and the non symmetric case),can be written as a product of linear forms, are considered. Also we generalize a result due to S.Kurepa for 2n-functionals in a group G.