Results 21 to 30 of about 5,220 (150)

Heuristic introduction to weakly Picard operator theory [PDF]

Creative Mathematics and Informatics, 2014
In this paper we study the impact of weakly Picard operator theory, [see I. A. Rus, Picard operators and applications, Sc. Math. Japonicae, 58 (2003), No. 1, 191–219] on the following problem: what can we do in order to find conditions under which a given operator is a weakly Picard operator?
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A class of abstract Volterra equations, via weakly Picard operators technique [PDF]

Mathematical Inequalities & Applications, 2010
Summary: We consider the following abstract Volterra equations: \[ x(t) = G(t,g(x)(t),x(t),x(0)) + \int ^t_{-t} K (t,s,x(s),x(h(s)))\,ds,\quad t \in \mathbb R \] and \[ x(t) = G(t,g(x)(t),x(t),x(0)) + \int ^{|t|}_{-|t|} K (t,s,x(s),x(h(s)))\,ds,\quad t \in\mathbb R.
Şerban, M. A., Rus, I. A., Petruşel, A.   +2 more
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Collapsing D-Branes in Calabi-Yau Moduli Space: I [PDF]

, 2000
We study the quantum volume of D-branes wrapped around various cycles in Calabi-Yau manifolds, as the manifold's moduli are varied. In particular, we focus on the behaviour of these D-branes near phase transitions between distinct low energy physical ...
Ashtekar, Aspinwall, Aspinwall, Aspinwall, Aspinwall, Aspinwall, Aspinwall, Aspinwall, Aspinwall, B.R. Greene, Batyrev, Batyrev, Becker, Berglund, Bershadsky, Brunner, C.I. Lazaroiu, Candelas, Candelas, Candelas, Candelas, Ceresole, Cheung, Coddington, Cox, Deligne, Deligne, Deligne, Diaconescu, Font, Fulton, Fulton, Gelfand, Gelfand, Greene, Greene, Greene, Gromov, Gross, Gross, Gross, Harvey, Hitchin, Horja, Hosono, Hosono, Ishibashi, Ishibashi, Joyce, Kachru, Klemm, Kontsevich, Landman, Libgober, Luke, McDuff, Minasian, Moore, Moore, Moore, Morrison, Morrison, Morrison, Morrison, Morrison, Norlund, Oda, Oda, Ooguri, Polchinski, Recknagel, Recknagel, Recknagel, Schmidt, Strominger, Strominger, Vafa, Witten, Witten, Witten   +79 more
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Iterates of Bernstein Type Operators on a Triangle with All Curved Sides

Abstract and Applied Analysis, 2014
We consider some Bernstein-type operators as well as their product and Boolean sum for a function defined on a triangle with all curved sides. Using the weakly Picard operators technique and the contraction principle, we study the convergence of the ...
Teodora Cătinaş
doaj   +1 more source

Multivalued Pseudo-Picard Operators and Fixed Point Results

Journal of Function Spaces and Applications, 2013
We introduce the concept of multivalued pseudo-Picard (MPP) operator on a metric space. This concept is weaker than multivalued weakly Picard (MWP) operator, which is given by M. Berinde and V. Berinde (2007).
Gülhan Mınak, Özlem Acar, Ishak Altun
doaj   +1 more source

Implicit Fractional Differential Equations in Banach Spaces via Picard and Weakly Picard Operator Theory

, 2020
In this paper, by employing fixed-point methods, we obtain the existence and uniqueness results for the nonlinear implicit fractional differential equations in Banach spaces. Further, we obtain the uniqueness, dependence of the solution on the initial condition as well as on the functions involved on the right-hand side by means of Picard and weakly ...
Sutar, Sagar T., Kucche, Kishor D.
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Semilinear geometric optics with boundary amplification [PDF]

, 2012
We study weakly stable semilinear hyperbolic boundary value problems with highly oscillatory data. Here weak stability means that exponentially growing modes are absent, but the so-called uniform Lopatinskii condition fails at some boundary frequency ...
Alinhac, Chazarain, Joly, Majda, Majda, Marcou, Williams   +6 more
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Qualitative properties of functional differential equation

Electronic Journal of Qualitative Theory of Differential Equations, 2014
The aim of this paper is to discuss some basic problems (existence and uniqueness, data dependence) of the fixed point theory for a functional differential equation with an abstract Volterra operator. In the end an application is given.
Diana Otrocol, Veronica Ilea
doaj   +1 more source

Multivalued weakly Picard operators via simulation functions with application to functional equations

AIMS Mathematics, 2020
<abstract> <p>The aim of this paper is to introduce the notion of Suzuki type multivalued contraction with simulation functions and then to set up some new fixed point and data dependence results for these type of contraction mappings. We produce an example to support our results.
Azhar Hussain, Saman Yaqoob, Thabet Abdeljawad, Habib Ur Rehman   +3 more
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From a Dieudonne theorem concerning the Cauchy problem to an open problem in the theory of weakly Picard operators [PDF]

Carpathian Journal of Mathematics, 2014
Let (X, d) be a complete metric space and let f : X → X be a self operator. In this paper we study the following two problems: Problem 1. Let f be such that its fixed points set is a singleton, i.e., Ff = {x∗}. Under which conditions the next implication does hold: f is asymptotically regular ⇒ f is a Picard operator? Problem 2.
Berinde, Vasile, Păcurar, Mădălina, Rus, Ioan A.   +2 more
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