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120
Strongly Uniform Bounds from SemiConstructive Proofs
, 2004
"... In [12], the second author obtained metatheorems for the extraction of effective (uniform) bounds from classical, prima facie nonconstructive proofs in functional analysis. These metatheorems for the first time cover general classes of structures like arbitrary metric, hyperbolic, CAT(0) and nor ..."
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Cited by 12 (8 self)
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In [12], the second author obtained metatheorems for the extraction of effective (uniform) bounds from classical, prima facie nonconstructive proofs in functional analysis. These metatheorems for the first time cover general classes of structures like arbitrary metric, hyperbolic, CAT(0) and normed linear spaces and guarantee the independence of the bounds from parameters raging over metrically bounded (not necessarily compact!) spaces. The use of classical logic imposes some severe restrictions on the formulas and proofs for which the extraction can be carried out. In this paper we consider similar metatheorems for semiintuitionistic proofs, i.e. proofs in an intuitionistic setting enriched with certain nonconstructive principles. Contrary to
Common fixed points of singlevalued and multivalued maps
 Int. J. Math. Math. Sci
"... We define a new property which contains the property (EA) for a hybrid pair of singleand multivalued maps and give some new common fixed point theorems under hybrid contractive conditions. Our results extend previous ones. As an application, we give a partial answer to the problem raised by Singh an ..."
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Cited by 11 (0 self)
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We define a new property which contains the property (EA) for a hybrid pair of singleand multivalued maps and give some new common fixed point theorems under hybrid contractive conditions. Our results extend previous ones. As an application, we give a partial answer to the problem raised by Singh and Mishra. 1. Introduction and
N.: Stability of Jungcktype iterative procedures
 International Journal of Mathematics and Mathematical Sciences
, 2005
"... We introduce and discuss the stability of Jungck and JungckMann iterative procedures for a pair of JungckOsiliketype maps on an arbitrary set with values in a metric or linear metric space. 1. ..."
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Cited by 9 (0 self)
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We introduce and discuss the stability of Jungck and JungckMann iterative procedures for a pair of JungckOsiliketype maps on an arbitrary set with values in a metric or linear metric space. 1.
Data dependence results of new multistep and Siterative schemes for contractivelike operators. Fixed Point Theory and Applications
, 2013
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Continuation theory for general contractions in gauge spaces
 Fixed Point Theory and Applications
, 2004
"... A continuation principle of LeraySchauder type is presented for contractions with respect to a gauge structure depending on the homotopy parameter. The result involves the most general notion of a contractive map on a gauge space and in particular yields homotopy invariance results for several typ ..."
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Cited by 4 (1 self)
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A continuation principle of LeraySchauder type is presented for contractions with respect to a gauge structure depending on the homotopy parameter. The result involves the most general notion of a contractive map on a gauge space and in particular yields homotopy invariance results for several types of generalized contractions. 1.
Kannan FixedPoint Theorem On Complete Metric Spaces And On Generalized Metric Spaces Depended an Another Function ∗
, 903
"... We obtain sufficient conditions for existence of unique fixed point of Kannan type mappings on complete metric spaces and on generalized complete metric spaces depended an another function. ..."
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We obtain sufficient conditions for existence of unique fixed point of Kannan type mappings on complete metric spaces and on generalized complete metric spaces depended an another function.
On the weak stability of Picard iteration for some contractive type mappings
 Annals of the University of Craiova  Mathematics and Computer Science Series
"... Starting from a weak concept of stability, introduced by Berinde [1] and called “weak stability”, in [27] we develop a weaker notion, named “wstability”. Therefore, in this paper we prove some results of this weaker stability concept for certain class of mappings and also we give some examples of w ..."
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Cited by 3 (0 self)
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Starting from a weak concept of stability, introduced by Berinde [1] and called “weak stability”, in [27] we develop a weaker notion, named “wstability”. Therefore, in this paper we prove some results of this weaker stability concept for certain class of mappings and also we give some examples of wstable but not weak stable nor stable iterations. Because of the restriction of an “approximate ” sequence, some fixed point iteration procedures are not weakly stable so if it is used a weaker type of sequence, the stability can be obtained in the meaning of a new concept. General Terms Fixedpoint and coincidence theorems.
A convergence theorem for some mean value fixed point iterations in the class of quasi contractive operators Demonstr
 Math
"... Abstract. A general convergence theorem for the Ishikawa fixed point iteration procedure in a large class of quasicontractive type operators is given. As particular cases, it contains convergence theorems for Picard, Krasnoselskij and Mann iterations, theorems which extend and generalize several re ..."
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Cited by 3 (1 self)
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Abstract. A general convergence theorem for the Ishikawa fixed point iteration procedure in a large class of quasicontractive type operators is given. As particular cases, it contains convergence theorems for Picard, Krasnoselskij and Mann iterations, theorems which extend and generalize several results in the literature. 1.
PICARD OPERATORS AND WELLPOSEDNESS OF FIXED POINT PROBLEMS
"... Abstract. In this paper we study the following problems: • For which Picard operators the fixed point problem is wellposed? • For which operators from those which appear in continuation principles, with a unique fixed point, the fixed point problem is wellposed? 1. ..."
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Abstract. In this paper we study the following problems: • For which Picard operators the fixed point problem is wellposed? • For which operators from those which appear in continuation principles, with a unique fixed point, the fixed point problem is wellposed? 1.