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1
100%
Fasciculi Mathematici
2010 Nr 43 45-52
EN In this paper we give a data dependence theorem for multivalued weakly φ-contractive operators. Then, we define the concept of ball with respect to w-distance and we present fixed point results for multivalued contractive type operators using this ball.
2
100%
Demonstratio Mathematica
3
100%
Demonstratio Mathematica
EN In this paper, a common fixed point theorem for two pairs of weakly compatible mappings satisfying Altman integral type contraction in a metric space is proved. Our result extends and improves several known results.
4
88%
Control and Cybernetics
EN In this paper we generalize the Lefschetz fixed point theorem from the case of metric ANR-s to the case of acceptable subsets of Klee admissible spaces. The results presented in this paper were announced in an earlier publication of the authors.
5
88%
Bulletin of the Polish Academy of Sciences. Mathematics
EN An abstract version of the Lefschetz fixed point theorem is presented. Then several generalizations of the classical Lefschetz fixed point theorem are obtained.
6
88%
Wiadomości Matematyczne
2017 T. 53, nr 2 235--243
PL W tym przeglądzie postaram się przedstawić, w jaki sposób Czesław Ryll-Nardzewski przyczynił się bezpośrednio lub pośrednio do rozwoju teorii ergodycznej. Za bezpośredni wkład uznałem twierdzenia i prace dotyczące wprost zagadnień z teorii ergodycznej, natomiast za wkład pośredni - zastosowania do t[...]
7
88%
Demonstratio Mathematica
2014 Vol. 47, nr 2 396--410
EN In this paper, common fixed point for four maps using an implicit contractive condition in a complete metric space is proved. Some periodic point results for such mappings are also obtained. These results extend and generalize several comparable results in the current literature.
8
75%
Control and Cybernetics
EN Opial presented in 1967 a theorem, which can be applied in order to prove the weak convergence of sequences (xk) in a Hilbert space, generated by iterative schemes of the form xk+1= Uxk for a nonexpansive and asymptotically regular operator U with nonempty Fix U. Several iterative schemes have, howe[...]
9
75%
Fasciculi Mathematici
2010 Nr 44 69-74
EN The mean return time of a discrete Markov chain to a point x is the reciprocal of the invariant probability π(x). We revisit this classical theme to investigate certain exit times for stochastic difference equations of autoregressive type. More specifically, we will discuss the asymptotics, as 0[...]
10
75%
Fasciculi Mathematici
2009 Nr 42 85-89
EN In the present note, it is proved that if a random Mann iteration scheme defined by two operators is convergent under some contractive inequality the limit point is a common fixed point of each of two random operators in a Banach space.
11
75%
Fasciculi Mathematici
2010 Nr 43 127-137
EN Starting from a result in [V. Berinde,Generalized contractions in quasimetric spaces, Seminar on Fixed Point Theory (Preprint), "Babeş-Bolyai" University of Cluj-Napoca, 3 (1993), 3-9 ], we prove the existence and uniqueness of the fixed points for φ-contractions on b-metric spaces. We also buil[...]
12
75%
Fasciculi Mathematici
2009 Nr 42 73-84
EN In the present paper we prove a common fixed point theorem (Theorem 1) for four mappings under the (ε, δ) contractive condition, however, without either imposing any additional restriction on δ or assuming the ∅-contractive condition together with. While proving the theorem[...]
13
75%
Bulletin of the Polish Academy of Sciences. Mathematics
EN We establish two fixed point theorems for certain mappings of contractive type.
14
75%
Bulletin of the Polish Academy of Sciences. Mathematics
EN We give necessary and sufficient conditions for the existence of some general solutions of the following two functional inequalities with an unknown real function phi: phi(Fx) is less than or equal to eta(phi(x)) and gamma(phi(Fx)) is less than or equal to phi(x). As an application we establish reci[...]
15
75%
Bulletin of the Polish Academy of Sciences. Mathematics
EN In this paper the existence of subharmonic orbits in planar Hamiltonian system x = f(x) + [epsilon]g(x,t) is revisited. The existing error in treatment on this problem is discussed and a new rigorous treatment is given.
16
75%
Bulletin of the Polish Academy of Sciences. Mathematics
EN Let X be a Banach space, C a closed subset of X, and T : C --> C a nonexpansive mapping. Conditions are given which assure that if the fixed point set F(T) of T has nonempty interior then the Picard iterates of the mapping T always converge to a point of F(T). If T is asymptotically regular, it suff[...]
17
75%
Fasciculi Mathematici
2010 Nr 45 121-131
EN In this paper we investigate the existence and uniqueness for fractional and non-fractional dierential equations in cone metric spaces. The result is obtained by using the some extensions of Banach's contraction principle in complete cone metric space, fractional calculus and the theory of strongly [...]
18
75%
Czasopismo Techniczne. Nauki Podstawowe
PL Niniejszy artykuł jest związany z odwzorowaniami ∝-nieoddalającymi, które zostały wprowadzone przez K. Goebla i M. A. J. Pinedę w 2007 r. Odwzorowania te są naturalnym uogólnieniem odwzorowań nieoddalających z punktu widzenia teorii punktu stałego. Wyżej wspomniani autorzy wykazali, że w przestrzeni[...]
EN This paper is connected with the theory of ∝-nonexpansive mappings, which were introduced by K. Goebel and M. A. J. Pineda in 2007. These mappings are a natural generalisation of nonexpansive mappings from the point of view of the fixed point theory. In particular, they proved that in Banach spaces [...]
19
75%
Fasciculi Mathematici
2005 Nr 36 91-101
20
75%
International Journal of Applied Mathematics and Computer Science
EN Phenotypic evolution of two-element populations with proportional selection and normally distributed mutation is considered. Trajectories of the expected location of the population in the space of population states are investigated. The expected location of the population generates a discrete dynami[...]
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