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1
Content available remote On some generalization of uniformly Lipschitzian mappings and its fixed points
100%
Górnicki J. , Singh T.
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1998
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tom Vol. 31, nr 2
305-311
2
Content available remote Some results on common fixed points for weakly compatible mappings satisfying Altman integral type contraction
100%
Pathak H. , Rodriquez-Lopez R.
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2009
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tom Vol. 42, nr 1
143-162
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.
3
Content available remote Existence and data dependence of fixed points for multivalued weakly φ-contractive operators
100%
Guran L.
|
2010
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tom 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.
4
Content available remote Once more on the Lefschetz fixed point theorem
88%
Górniewicz L. , Ślosarski M.
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2007
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tom Vol. 55, no 2
161-170
EN
An abstract version of the Lefschetz fixed point theorem is presented. Then several generalizations of the classical Lefschetz fixed point theorem are obtained.
5
Content available remote Fixed points of mappings in Klee admissible spaces
88%
Górniewicz L. , Ślosarski M.
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2007
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tom Vol. 36, no 3
825-832
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.
6
Content available remote Compatible mappings of type (C) and common fixed point theorems of Gregus type
75%
Pathak H. , Cho Y. , Kang S. , Madharia B.
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1998
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tom Vol. 31, nr 3
499-518
EN
In this paper, we introduce the concept of compatible mappings of type (C) in normed spaces and compare these mappings with compatible mappings of type (A) and compatible mappings of type (B). In the sequel, we establish a common fixed point theorem for two pairs of compatible mappings of type (C) for Gregus type contraction condition. Our main result improves, extends and modifies several known results.
7
Content available remote A generalization of the Opial's theorem
75%
Cegielski A.
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2007
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tom Vol. 36, no 3
601-610
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, however, the form xk+i1 = UkXk, where (Uk) is a sequence of operators with a common fixed point. We show that under some conditions on the sequence (Uk) the sequence (xk) converges weakly to a common fixed point of operators Uk- We show also that the Opial's theorem and the Krasnoselskii-Mann theorem are the corollaries descending from the obtained results. Finally, we present some applications of the results to the convex feasibility problems.
8
Content available remote On existence of subharmonic orbits in perturbed Hamiltonian systems
75%
Yang X.
|
2000
|
tom Vol. 48, no 2
221-225
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.
9
Content available remote Invariance and periodicity
75%
Kupka I.
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2007
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tom Vol. 40, nr 2
457-464
EN
In this article is presented a simple concept of invariance. It is used to widely generalise the concept of periodicity.
10
Content available remote Existence of positive solutions to BVPs of higher order delay differential equations
75%
Shen J. , Dong J.
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2009
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tom Vol. 42, nr 1
53-64
EN
The paper is concerned with the existence of positive solutions for the nonlinear eigenvalue problem with singularity and the superlinear semipositone problem of higher order delay differential equations. The main results are obtained by using Guo-Krasnoselskii's fixed point tbearem In cones. These results extend some of the existing literature.
11
Content available remote Generalized three-step iteration schemes and common fixed points of three asymptotically quasi-nonexpansive mappings
75%
Rashwan R. , Hakim A.
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2008
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tom Vol. 41, nr 4
895-908
EN
In this paper, we study strong convergence theorems for a generalized three-step iterative scheme with errors to approximate common fixed points of three asymptotically quasi-nonexpansive mappings in real Banach spaces. Our results generalize and improve upon the corresponding results in [1], [2], [3], [4], [5], [6], [7], [9], [13] and [16]. As an application of our results, we give and prove strong convergence theorems in uniformly convex Banach spaces.
12
Content available remote Convergence of Picard iterates of nonexpansive mappings
75%
Kirk W. , Sims B.
|
1999
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tom Vol. 47, no 2
147-155
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 suffices to assume that the closed subsets of X are densely proximinal and that nested spheres in X have compact interfaces. Such spaces include, among others, those which have Rolewicz's property ([beta]). If X has strictly convex norm the asymptotic regularity assumption can be dropped and the nested sphere property holds trivially. Consequently the result holds for all reflexive locally uniformly convex spaces.
13
Content available remote (ε, δ) contractive condition and common fixed points
75%
Pant V. , Jha K.
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2009
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tom 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, neither the completeness of the metric space is assumed nor any of the mappings is required to be continuous. Thus we also provide one more answer to the problem of Rhoades [24] which ensures the existence of common fixed point, however, does not force the maps to be continuous at the common fixed point. Theorem 2 generalizes further the result obtained in Theorem 1.
14
Content available remote A fixed point result for φ-contractions on b-metric spaces without the boundedness assumption
75%
Păcurar M.
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2010
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tom 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 build a theory of this fixed point result.
15
Content available remote Analysis of a stochastic difference equation: exit times and invariant distributions
75%
Högnäs G. , Jung B.
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2010
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tom 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, of the first time that the n-dimensional process ...[wzór] (where ξ1, ξ2, . . . is a sequence of i.i.d. random n-vectors) leaves a given neighborhood of the fixed point of the contraction f.
16
Content available remote On a common fixed point of two random operators using random Mann iteration scheme
75%
Parsai R. , Rathore M. S. , Chandel R. S.
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2009
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tom 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.
17
Content available remote Two results on Jachymski-Schörder-Stein contractions
75%
Reich S. , Zaslavski A. J.
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2008
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tom Vol. 56, no 1
53-58
EN
We establish two fixed point theorems for certain mappings of contractive type.
18
Content available remote Fixed point theorems for weakly inward multivalued maps on a convex metric space
75%
Beg I. , Abbas M.
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2006
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tom Vol. 39, nr 1
149-160
EN
We prove the existence of fixed point for weakly contractive multivalued maps satisfying the inwardness condition in the framework of a convex metric space. Fixed point theorems for multivalued contraction mapping taking the closed values are also obtained. These theorems extend several known results.
19
Content available remote On a boundary value problem for a third differential inclusion
75%
Cernea A.
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2009
|
tom Vol. 42, nr 4
723-730
EN
We consider a boundary value problem for third order nonconvex differential inclusion and we obtain some existence results by using the set-valued contraction principle.
20
Content available remote Remarks on a paper by Beg, latif and Minhas about fixed points
63%
Jachymski J.
|
1998
|
tom Vol. 31, nr 2
333-338
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