Mappings and Functions
HARMONIC MAPPINGS RELATED TO THE CONVEX FUNCTIONS
... Abstract. The main purpose of this paper is to give the extent idea which was intro- duced by R. M. Robinson [5]. One of the interesting application of this extent idea is an investigation of the class of harmonic ...
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Bi Lipschitz Mappings and Quasinearly Subharmonic Functions
... subharmonic functions, we consider certain invariance properties of quasinearly subharmonic ...subharmonic functions and the class of regularly oscillating functions are invariant under conformal ...
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Some fixed point results for non-decreasing and mixed monotone mappings with auxiliary functions
... The purpose of this paper is to provide sufficient conditions for the existence and uniqueness of fixed points for non-decreasing and mixed monotone mappings with auxiliary functions in the framework of metric ...
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Best proximity points for proximal contractive type mappings with C-class functions in S-metric spaces
... In this paper, we use the concept of C-class functions to establish the best proximity point results for a certain class of proximal contractive mappings in S-metric spaces. Our results extend and improve ...
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Fixed Point Results of Contractive Mappings by Altering Distances and C Class Functions in b Dislocated Metric Spaces
... of functions called as C-class and use the concepts of dislocated metric, b-dislocated metric, altering distance ...compatible mappings under f − ( ψ φ , , s ) -contractive condi- tions and contractive ...
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HARMONIC MAPPINGS RELATED TO CLOSE-TO-CONVEX FUNCTIONS OF COMPLEX ORDER b
... of functions in the open unit disc D that are normalized with h(0) = h ′ (0) − 1 = 0, then a function h(z) ∈ A is called convex on starlike if it maps D into a convex or starlike region, ...univalent ...
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Connections between various subclasses of planar harmonic mappings involving generalized Bessel functions
... univalent functions by applying certain convolution operator involving generalized Bessel functions of first ...univalent functions in the open unit disc U ...
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S-7c CHARACTERIZATIONS OF PROPERTIES OF SPACES OF FINITELY ADDITIVE SET FUNCTIONS IN TERMS OF MAPPINGS AND INTEGRALS DISSERTATION
... Since these subsets of A1 are Banach spaces even if p is only finitely additive and bounded, they yield a natural finitely additive analogue of the usual Lp (p) sp[r] ...
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Classes of functions on common fixed points for two mappings of integral type with semi-implicit contractive conditions in metric spaces
... two mappings of integral type with variable coefficient in metric spaces and obtained the more general results, the main results generalize and improve Theorem ...two mappings of integral type with ...
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Common fixed point theorems via weakly compatible mappings in complete G-metric spaces: using control functions
... Dhage introduced the concept of D-metric spaces as generalization of ordinary metric func- tions and went on to present several fixed point results for single and multivalued mappings; see [1-4] and the references ...
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C-Class Functions and Remarks on Fixed Points of Weakly Compatible Mappings in G-Metric Spaces Satisfying Common Limit Range Property
... In this paper, using the contexts of C-class functions and common limit range property, common fixed point result for some operator are obtained. Our results generalize several results in the existing literature. ...
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An infinite class of quadratic APN functions which are not equivalent to power mappings
... (APN) mappings, and by Chabaud and Vaudenay of the notion of almost bent (AB) mappings [13], much work has been done on these two notions [1, 3, 5, 6, 7, 8, 11, 16, 17, 18, 19, 23, 24, ...Boolean ...
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Generating continuous mappings with Lipschitz mappings
... It is known that for many natural metric spaces the family of Lipschitz mappings is a meager subset of the space of all continuous functions with the topology of uniform convergence. Thus from a topological ...
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On the Stability of Cubic Mappings and Quadratic Mappings in Random Normed Spaces
... In addition, Mirmostafaee et al. 13–15, Alsina 16, Mihet¸ and Radu 17 investigated the stability in the settings of fuzzy, probabilistic, and random normed spaces. In the sequel, we will adopt the usual terminology, ...
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Characterization of MDS mappings
... Proof. We show that if the mappings ϕ and ψ : G → G, ψ(g) = g ⋆ ϕ(g), are both group isomorphisms, then f is a (2, 2, G)-MDS map: by Theo- rem 2.9, it suffices to show that the square sub-functions of f are ...
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Fixed Points and Mappings
... In this paper we give some important types of mappings related to the fixed point concept. We begin with the basic definition of mappings. Then we define self maps and commutative maps. We discuss about the ...
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Some Properties and Regions of Variability of Affine Harmonic Mappings and Affine Biharmonic Mappings
... We first obtain the relations of local univalency, convexity, and linear connectedness between analytic functions and their corresponding affine harmonic mappings. In addition, the paper deals with the ...
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Erratum to: A Note to Paper "On the Stability of Cubic Mappings and Quartic Mappings in Random Normed Spaces"
... and nondecreasing on R and F0 0, F∞ 1 1.3 and the subset D ⊆ Δ is the set D {F ∈ Δ : l − F∞ 1}, where l − fx denotes the left limit of the function f at the point x. The space Δ is partially ordered by the usual point- ...
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Invariant graphs of functions for the mean-type mappings
... Applying a result on the existence and uniqueness of an M -invariant mean [7], we prove that if the graph of a continuous function ϕ : J p−1 → I is M -invariant, then ϕ satises a simple functional equation. As a ...
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Some Combined Relations between Contractive Mappings, Kannan Mappings, Reasonable Expansive Mappings, and -Stability
... In recent literature concerning fixed point theory for self-mappings T : X → X in metric spaces X, d, there are some new concepts which can be mutually related so that the inherent properties of each one might be ...
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