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77
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 10 (7 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
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.
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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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.
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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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
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.
Error estimates for approximating fixed points of quasi contractions
 General Mathematics
"... The main purpose of the paper is to give error estimates for two important fixed point theorems involving quasi contractive type operators. 2000 Mathematics Subject Classification: 41A25 1 ..."
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The main purpose of the paper is to give error estimates for two important fixed point theorems involving quasi contractive type operators. 2000 Mathematics Subject Classification: 41A25 1
A Fixed point result using a function of 5variables
 Journal of Physical Sciences
"... Here we prove two fixed point theorems in metric spaces. The results are obtained for mapping which satisfy certain inequalities through a function of five variables. 1. ..."
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Here we prove two fixed point theorems in metric spaces. The results are obtained for mapping which satisfy certain inequalities through a function of five variables. 1.
Fixed Point Theory for Almost Convex Functions
"... Introduction Traditionally, metric fixed point theory has sought classes of spaces in which a given type of mapping (nonexpansive, assymptotically or generalized nonexpansive, uniformly Lipschitz, etc.) from a nonempty weakly compact convex set into itself always has a fixed point. In some situation ..."
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Introduction Traditionally, metric fixed point theory has sought classes of spaces in which a given type of mapping (nonexpansive, assymptotically or generalized nonexpansive, uniformly Lipschitz, etc.) from a nonempty weakly compact convex set into itself always has a fixed point. In some situations the class of space is determined by the application while there is some degree of freedom in constructing the map to be used. With this in mind we seek to relax the conditions on the space by considering more restrictive types of mappings. Previous instances of this include: ffl Strict contractions on complete metric spaces (the celebrated Banach contraction mapping principle). (See [Rhoades, 1977]). ffl Affine selfmappings of nonempty weakly compact convex sets in a Banach space (which have fixed points by virtue of their weakcontinuity and the SchauderTychonoff fixed point theorem). We generalize the latter, and as we will shortly see, also to so
Some unifying results on stability and strong convergence for some new iteration processes
 Acta Math. Academiae Paedagogicae Nyiregyhaziensis.—2009.—Vol. 25
"... Abstract. In this paper, we shall establish some stability results as well as strong convergence results for a pair of nonselfmappings using some newly introduced iteration processes and two general contractive conditions. Our results are improvements, generalizations and extensions of the results i ..."
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Abstract. In this paper, we shall establish some stability results as well as strong convergence results for a pair of nonselfmappings using some newly introduced iteration processes and two general contractive conditions. Our results are improvements, generalizations and extensions of the results in some of the references listed in the reference section of this paper as well as some other analogous ones in the literature. 1.