although there are many excellent ways presenting the principle of the classical calculus, the novel presentations probably leads most naturally to the development of the non-newtonian calculus. the important point to note is that the non-newtonian calculus is a self-contained system independent of any other system of calculus. since this self-contained work is intended for a wide audience, inc...

in this paper, a complete description concerning linear operators of banach spaces with range in lipschitz algebras $lip_al(x)$ is provided. necessary and sufficient conditions are established to ensure boundedness and (weak) compactness of these operators. finally, a lower bound for the essential norm of such operators is obtained.

In this paper, we establish some fixed point theorems in connection with sequences of operators in the Banach space setting for Mann and Ishikawa iterative processes. Our results extend some of the results of Berinde, Bonsall, Nadler and Rus from complete metric space to the Banach space setting.

Abstract The purpose of this research is to construct sequences Baskakov operators such that their construction consists a function σ by use two sequences, $\xi _{n} $ ξn and $\eta xmlns:mml="http://www.w3.org/1998/Math/MathML">ηn...

in this paper, we introduce and study the concepts of $mathcal{i}_2$-convergence, $mathcal{i}_2^{*}$-convergence for double sequences of fuzzy real numbers, where $mathcal{i}_2$ denotes the ideal of subsets of $mathbb n times mathbb n$. also, we study some properties and relations of them.

In this paper, we prove results on enumerations of sets of Rota-Baxter words in a single generator and one unary operator. Examples of operators are integral operators, their generalization to Rota-Baxter operators, and Rota-Baxter type operators. Rota-Baxter words are certain words formed by concatenating generators and images of words under the operators. Under suitable conditions, they form ...

Let $L$ be an integral and commutative quantale. In this paper, by fuzzifying the notion of generalized neighborhood systems, the notion of $L$-fuzzy generalized neighborhoodsystem is introduced and then a pair of lower and upperapproximation operators based on it are defined and discussed. It is proved that these approximation operators include generalized neighborhood system...

In the present research article, we construct a new family of summation-integral type hybrid operators in terms shape parameter ? [0, 1]. Further, basic estimates, rate convergence and order approximation with aid Korovkin theorem modulus smoothness are investigated. Moreover, numerical simulation graphical approximations studied. For these sequences positive linear operators, study local resul...

In this paper, newly defined level operators and modal-like operators over extensional generalized intuitionistic fuzzy sets (GIFSB) are proposed. Some of the basic properties of the new operators are discussed.