The given article describes the implicit fractional dierential equation with anti-periodic boundary conditionsin frame of Caputo-Katugampola derivative. We obtain an analogous integral thegiven problem and prove existence uniqueness results such a using Banach andKrasnoselskii xed point theorems. Further, by applying generalized Gronwall inequality, Ulam-Hyersstability are discussed. To show ee...

in this paper, we prove a fixed point theorem for a pair of generalized weakly contractive mappings in complete partial metric spaces. the theorems presented are generalizations of very recent fixed point theorems due to abdeljawad, karapinar and tas. to emphasize the very general nature of these results, we illustrate an example.

in this paper, we prove the existence of the solution for boundary value prob-lem(bvp) of fractional dierential equations of order q 2 (2; 3]. the kras-noselskii's xed point theorem is applied to establish the results. in addition,we give an detailed example to demonstrate the main result.

in this paper, we prove some common fixed point results for two self mappingsf and g on s-metric space such that f is a g.w.c.m with respect to g.

*Correspondence: [email protected]; [email protected] 3Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok, 10140, Thailand Full list of author information is available at the end of the article Abstract In this paper, we introduce the concepts ofW-compatible mappings for mappings F : X × X × X → X and g : X → X , where (X ,d) ...

In this paper, we introduce and study a new iterative scheme toapproximate a common xed point for a nite family of generalized asymptoticallyquasi-nonexpansive nonself-mappings in Banach spaces. Several strong and weakconvergence theorems of the proposed iteration are established. The main resultsobtained in this paper generalize and rene some known results in the currentliterature.

An idea of fuzzy reexivity of Felbin's type fuzzy normed linear spaces is introduced and its properties are studied. Concept of fuzzy uniform normal structure is given and using the geometric properties of this concept xed point theorems are proved in fuzzy normed linear spaces.

Jachymski [ Proc. Amer. Math. Soc., 136 (2008), 1359-1373] gave modified version of a Banach fixed point theorem on a metric space endowed with a graph. In the present paper, (G, Φ)-graphic contractions have been de ned by using a comparison function and studied the existence of fixed points. Also, Hardy-Rogers G-contraction have been introduced and some fixed point theorems have been proved. S...

An automatic scaling C program translator is developed for the eecient execution of application programs in xed-point digital signal processors. The program for range estimation is automatically generated by inserting codes which collect the statistics of each signal during the simulation. With the range information, the number of shifts needed for the scaling is determined and the oating-point...

Two xed-point optimization utility programs, the range estimator and the xed-point simulator, are developed for scaling and wordlength determination of digital signal processing algorithms written in C or C++ language. By exploiting the operator overloading characteristics of C++ language, range estimation and xed-point simulation can be conducted just by modifying the variable declaration of t...