Results 11 to 20 of about 794,096 (172)
On Multi-Valued Weakly Picard Operators in Hausdorff Metric-Like Spaces [PDF]
International Journal of Analysis and Applications, 2016 In this paper, we study multi-valued weakly Picard operators on Hausdorff metric-like spaces. Our results generalize some recent results and extend several theorems in the literature. Some examples are presented making effective our results.
Abdelbasset Felhi
doaj +4 more sources
On multivalued P-contractive mappings that belongs to class of weakly Picard operators [PDF]
Fixed Point Theory, 2021 Summary: In the present paper, by introducing the \(P\)-contractivity of a multivalued mapping, we give a new class of multivalued weakly Picard operators on complete metric spaces and show that the class of multivalued contractions is a proper subset of this new class. We also give a nontrivial example showing this fact.
Hançer, Hatice Aslan
openaire +3 more sources
On multivalued weakly Picard operators in partial Hausdorff metric spaces [PDF]
Fixed Point Theory and Applications, 2015 AbstractWe discuss multivalued weakly Picard operators on partial Hausdorff metric spaces. First, we obtain Kikkawa-Suzuki type fixed point theorems for a new type of generalized contractive conditions. Then, we prove data dependence of a fixed points set theorem.
Jleli, Mohamed +3 more
core +6 more sources
Weakly Picard pairs of some multivalued operators [PDF]
Mathematical Communications, 2003 The purpose of this paper is to present a partial answer to the following problem: Let (X,d) be a metric space and $T_1,T_2:X\to P(X)$ two multivalued operators. Determine the metric conditions which imply that (T_1,T_2) is a weakly Picard pair of multivalued operators and T_1, T_2 are weakly Picard multivalued operators.
Sîntărian, A.
core +5 more sources
Multivalued Pseudo-Picard Operators and Fixed Point Results [PDF]
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 +2 more sources
Frum-Ketkov operators which are weakly Picard [PDF]
Carpathian Journal of Mathematics, 2020 In this paper, we will give sufficient conditions ensuring that a Frum-Ketkov operator is weakly Picard. Some generalized Frum-Ketkov operators are also studied.
Petruşel, Adrian +2 more
openaire +2 more sources
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
openaire +1 more source
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?
openaire +2 more sources
Transfer operators for coupled analytic maps [PDF]
, 2000 We consider analytically coupled circle maps (uniformly expanding and analytic) on the ${\mathbb Z}^d$-lattice with exponentially decaying interaction.
Rugh, Hans Henrik +2 more
core +1 more source
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
openaire +2 more sources