Results 21 to 30 of about 756,869 (169)
Fixed-point results for convex orbital operators
Demonstratio Mathematica, 2023 The aim of this article is to introduce a new type of operator similar to those of A. Petruşel and G. Petruşel type (Fixed point results for decreasing convex orbital operators, J. Fixed Point Theory Appl. 23 (2021), no.
Popescu Ovidiu
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Data Dependence, Strict Fixed Point Results, and Well-Posedness of Multivalued Weakly Picard Operators [PDF]
Journal of Mathematics, 2021 In this paper, we introduce the notion of s , r -contractive multivalued weakly Picard ...
Azhar Hussain +3 more
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Implicit functional differential equations with linear modification of the argument, via weakly Picard operator theory [PDF]
Carpathian Journal of Mathematics, 2021 "Let \mathbf{K}:=\mathbf{R}\text{ or }\mathbf{C},\text{ \ }0<\lambda <1 and f \in C([0,b] \times \textbf{K}^3,\textbf{K}). In this paper we use the weakly Picard operator theory technique to study the following functional-differential equation $$ y'(x)=f(x,y(x),y'(x),y(\lambda x)), x \in [0,b].$$ "
ANTON S. MUREŞAN, VIORICA MUREŞAN
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Ulam-Hyers stability for partial differential inclusions
Electronic Journal of Qualitative Theory of Differential Equations, 2012 Using the weakly Picard operator technique, we will present Ulam-Hyers stability results for integral inclusions of Fredholm and Volterra type and for the Darboux problem associated to a partial differential inclusion.
V. Lazar
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Dynamics and Ulam Stability for Fractional q-Difference Inclusions via Picard Operators Theory
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this manuscript, by using weakly Picard operators we investigate the Ulam type stability of fractional q-difference An illustrative example is given in the last section.
Abbas Saïd +2 more
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Systems of functional-differential equations with maxima, of mixed type
Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this paper we study some properties of the solutions of a second order system of functional-differential equations with maxima, of mixed type, with ``boundary" conditions. We use Perov's fixed point theorem and the weakly Picard operator technique.
Diana Otrocol
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Iterated function systems consisting of continuous functions satisfying Banach’s orbital condition
Annals of the West University of Timisoara: Mathematics and Computer Science, 2018 We introduce the concept of iterated function system consisting of continuous functions satisfying Banach’s orbital condition and prove that the fractal operator associated to such a system is weakly Picard. Some examples are provided.
Miculescu Radu +2 more
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, 1993 summary:In this paper we generalize the well known converse to the contraction principle due to C. Bessaga, dropping the uniqueness of the fixed point from its hypotheses.
Rus, Ioan A.
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The Theory of Reich's Fixed Point Theorem for Multivalued Operators
Fixed Point Theory and Applications, 2010 The purpose of this paper is to present a theory of Reich's fixed point theorem for multivalued operators in terms of fixed points, strict fixed points, multivalued weakly Picard operators, multivalued Picard operators, data dependence of the fixed ...
Tania Lazăr +3 more
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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. +2 more
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