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1
Content available remote On some recent fixed point results for single and multi-valued mappings in b-metric spaces
Aleksić S., Mitrović Z. D., Radenović S.
Fasciculi Mathematici
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2018
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Nr 61
5--16
EN
The main purpose of this paper is to improve and correct some results in b-metric spaces. Moreover, we prove that some results can be slightly relaxed and also we explore some proof techniques which provide short proofs of the results.
2
Content available remote A fixed point theorem for contractive mappings with nonlinear combinations of rational expressions in b-metric spaces
Barrera W. E., Morales J. R., Rojas E. M.
Fasciculi Mathematici
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2017
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Nr 58
29--46
EN
In this paper we discuss the existence and uniqueness of fixed points for mappings satisfying several (nonlinear-combinations) contractive inequalities of rational type controlled by altering distance functions. Our results extend several fixed point results in the literature.
3
Content available remote Some fixed point theorems using wt-distance in b-metric spaces
Mohanta S. K.
Fasciculi Mathematici
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2015
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Nr 54
125--140
EN
Some fixed point theorems using wt-distance in b-metric spaces In this paper we establish some common fixed point theorems by using the concept of wt-distance in a b-metric space. Our results extend and generalize several well known comparable results in the existing literature. Finally, some examples are provided to illustrate our results.
4
Content available remote A fixed point result for φ-contractions on b-metric spaces without the boundedness assumption
Păcurar M.
Fasciculi Mathematici
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2010
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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.
5
Content available remote Stability of iterative procedures for multivalued maps in metric spaces
Singh S., Bhatnagar C., Mishra S.
Demonstratio Mathematica
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2005
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Vol. 38, nr 4
905-916
EN
Let (X,d) be a metric space and T a self-map of X. Let Xn+i = f(T,Xn) denote some iterative procedure. Let {xn} be convergent to a fixed point u of T and {yn} be an arbitrary sequence in X. Set En=d[yn+i, f(T, yn)], n = 0,1,2,..., then the iterative procedure f(T,Xn) is T-stable provided that limEn = 0 implies that limnyn = u. This definition has been extended by Singh and Chadha [34] to discuss the problem of stability for multivalued operators on metric spaces. The purpose of this paper is to present a fixed point theorem for generalized multivalued contractions on a setting more general than metric spaces. The same is utilized to discuss the problem of stability of iterative procedures in multivalued analysis. Some special cases due to Stefan Czerwik and others are discussed as special cases.
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