•Journal•ISSN: 0354-5180

# Filomat

About: Filomat is an academic journal. The journal publishes majorly in the area(s): Fixed point & Metric space. It has an ISSN identifier of 0354-5180. It is also open access. Over the lifetime, 3317 publication(s) have been published receiving 17591 citation(s).

##### Papers published on a yearly basis

##### Papers

More filters

••

TL;DR: The notion of strong intuitionistic fuzzy graphs is introduced and some of their properties are investigated and some propositions of self complementary and self weak complementary strong intuitionists fuzzy graphs are discussed.

Abstract: We introduce the notion of strong intuitionistic fuzzy graphs and investigate some of their properties. We discuss some propositions of self complementary and self weak complementary strong intuitionistic fuzzy graphs. We introduce the concept of intuitionistic fuzzy line graphs.

165 citations

••

TL;DR: In this article, the authors introduced the simulation function and the notion of Z-contraction with respect to which generalize the Banach contraction principle and unify several known types of contractions involving the combination of d(Tx; Ty) and d(x; y): the related fixed point theorems are also proved.

Abstract: Let (X; d) be a metric space and T : X! X be a mapping. In this work, we introduce the mapping : (0;1) (0;1)! R, called the simulation function and the notion ofZ-contraction with respect to which generalize the Banach contraction principle and unify several known types of contractions involving the combination of d(Tx; Ty) and d(x; y): The related fixed point theorems are also proved.

151 citations

••

TL;DR: In this article, an interesting subclass NΣh,p (λ, μ) of analytic and bi-univalent functions in the open unit disk U is introduced and investigated, and the first two Taylor-Maclaurin coefficients |a2| and |a3| are obtained.

Abstract: In this paper, we introduce and investigate an interesting subclass NΣh,p (λ, μ) of analytic and bi-univalent functions in the open unit disk U. For functions belonging to the class NΣh,p (λ, μ), we obtain estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3|. The results presented in this paper would generalize and improve some recent works of Caǧlar et al. [3], Xu et al. [10], and other authors.

132 citations

••

TL;DR: In this article, the fixed point results for closed multi-valued F-contractions were presented for complete metric spaces or complete ordered metric spaces, and two applications for the solution of certain functional and integral equations were given to illustrate the usability of the obtained results.

Abstract: Wardowski (Fixed Point Theory Appl., 2012:94) introduced a new concept of contraction and proved a fixed point theorem which generalizes Banach contraction principle. Following this direction of research, we will present some fixed point results for closed multi-valued F-contractions or multi-valued mappings which satisfy an F-contractive condition of Hardy-Rogers-type, in the setting of complete metric spaces or complete ordered metric spaces. An example and two applications, for the solution of certain functional and integral equations, are given to illustrate the usability of the obtained results.

128 citations

••

TL;DR: In this article, the authors proposed a rapid and effective way of working out the optimum convergence control parameter in the homotopy analysis method (HAM) for solving algebraic, highly nonlinear differentialdifference, integro-differential, and ordinary or partial differential equations or systems.

Abstract: A rapid and effective way of working out the optimum convergence control parameter in the homotopy analysis method (HAM) is introduced in this paper. As compared with the already known ways of evaluating the convergence control parameter in HAM either through the classical constant h − curves ( h is the convergence control parameter) or from the classical squared residual error as frequently used in the literature, a novel description is proposed to find out an optimal value for the convergence control parameter yielding the same optimum values. In most cases, the new method is shown to perform quicker and better against the residual error method when integrations are much harder to evaluate. Examples involving solution of algebraic, highly nonlinear differentialdifference, integro-differential, and ordinary or partial differential equations or systems, all from the literature demonstrate the validity and usefulness of the introduced technique

113 citations