Le Matematiche (Dipartimento di Matematica e Informatica, Università degli Studi di Catania)
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Lacunary sequence spaces defined by Musielak-Orlicz function
Get PDFIn this paper we introduce lacunary sequence spaces defined by a Musielak-Orlicz function M = (M_k) and a sequence of modulus functions F = (f_k). We also make an effort to study some topological properties and inclusion relations between these spaces
Common fixed point theorems for weakly compatible mappings in fuzzy metric spaces
Get PDFThe aim of this paper is to prove a common fixed point theorem for a pair of weakly compatible mappings in fuzzy metric space by using the (CLRg) property. An example is also furnished which demonstrates the validity of our main result. As an application to our main result, we present a fixed point theorem for two finite families of self mappings in fuzzy metric space by using the notion of pairwise commuting. Our results improve the results of Sedghi, Shobe and Aliouche [A common fixed point theorem for weakly compatible mappings in fuzzy metric spaces, Gen. Math. 18(3) (2010), 3-12 MR2735558]
Preserving properties of subordination and superordination of analytic functions involving the Wright generalized hypergeometric function
Get PDFIn this paper, we obtain some subordination and superordination-preserving results of analytic functions associated with the Wright generalized hypergeometric function. Sandwich-type result involving this operator is also derived
On the two-dimensional Saigo-Maeda fractional calculus asociated with two-dimensional Aleph TRANSFORM
Get PDFThis paper deals with the study of two-dimensional Saigo-Maeda operators of Weyl type associated with Aleph function defined in this paper. Two theorems on these defined operators are established. Some interesting results associated with the H-functions and generalized Mittag-Leffler functions are deduced from the derived results. One dimensional analog of the derived results is also obtained
Differential sandwich theorems for p-valent functions associated with generalized multiplier transformations
Get PDFIn this paper, we obtain some applications of theory of differential subordination, superordination and sandwich results involving an operator
Common fixed point results for weakly isotone increasing mappings in partially ordered partial metric spaces
Get PDFIn this paper we prove some common fixed point results for pair of weakly isotone increasing mappings in the context of partially ordered partial metric spaces. Thus our results in the new context generalize, extend, unify, enrich and complement fixed point theorems of contractive mappings in several aspects. We provide examples to illustrate the usability of our results
Some fixed point theorems for weakly compatible mappings in Non-Archimedean Menger probabilistic metric spaces via common limit range property
Get PDFIn this paper, we utilize the notion of common limit range property in Non-Archimedean Menger PM-spaces and prove some fixed point theorems for two pairs of weakly compatible mappings. Some illustrative examples are furnished to support our results. As an application to our main result, we present a common fixed point theorem for four finite families of self mappings. Our results improve and extend several known results existing in the literature
Subclass of harmonic univalent functions defined by Dziok-Srivastava operator
Get PDFIn this paper we introduce a new class of harmonic univalent functions defined by the Dziok-Srivastava operator. Coefficient estimates, extreme points, distortion bounds and convex combination for functions belonging to this class are obtained and also for a class preserving the integral operator
Differential inequalities for meromorphic p-valent functions associated with generalized integral operator
Get PDFIn this paper the author introduced a new generalized integral operator for meromorphic p-valent functions in U*={z:z in C and 0<|z|<1. The object of this paper is to give an application of this operator to the differential inequalities
Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian
Get PDFThis paper deals with the following class of nonlocal Schrödinger equations(-\Delta)^s u + u = |u|^{p-1}u in \mathbb{R}^N, for s\in (0,1).We prove existence and symmetry results for the solutions in the fractional Sobolev space H^s(\mathbb{R}^N). Our results are in clear accordance with those for the classical local counterpart, that is when s=1