Results 31 to 40 of about 2,649,766 (88)

An extragradient iterative scheme for common fixed point problems and variational inequality problems with applications

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
In this paper, by combining a modified extragradient scheme with the viscosity approximation technique, an iterative scheme is developed for computing the common element of the set of fixed points of a sequence of asymptotically nonexpansive mappings and
Petruşel Adrian, Sahu D.R., Sagar Vidya
doaj   +1 more source

Common fixed points for (ψ,α,β)-weakly contractive mappings in generalized metric spaces

open access: yes, 2013
We establish some common fixed point theorems for mappings satisfying a (ψ,α,β)-weakly contractive condition in generalized metric spaces. Presented theorems extend and generalize many existing results in the literature.MSC: Primary 54H25; secondary ...
H. Işık, D. Türkoglu
semanticscholar   +1 more source

Some fixed point theorems for set valued directional contraction mappings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 3, Page 455-460, 1980., 1980
Let S be a subset of a metric space X and let B(X) be the class of all nonempty bounded subsets of X with the Hausdorff pseudometric H. A mapping F : S → B(X) is a directional contraction iff there exists a real α ∈ [0, 1) such that for each x ∈ S and y ∈ F(x), H(F(x), F(z)) ≤ αd(x, z) for each z ∈ [x, y]∩S, where [x, y] = {z ∈ X : d(x, z) + d(z, y ...
V. M. Sehgal
wiley   +1 more source

Revisiting of some outstanding metric fixed point theorems via E-contraction

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
In this paper, we introduce the notion of α-ψ-contractive mapping of type E, to remedy of the weakness of the existing contraction mappings. We investigate the existence and uniqueness of a fixed point of such mappings.
Fulga Andreea, Karapınar Erdal
doaj   +1 more source

Iterative approximation of fixed points of quasi-contraction mappings in cone metric spaces

open access: yesJournal of Inequalities and Applications, 2014
In this paper, we establish a full statement of Ćirić’s fixed point theorem in the setting of cone metric spaces. More exactly, we obtain a priori and a posteriori error estimates for approximating fixed points of quasi-contractions in a cone metric ...
Petko D. Proinov, I. Nikolova
semanticscholar   +1 more source

A pointwise contraction criteria for the existence of fixed points

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2, Issue 3, Page 473-480, 1979., 1979
Let S be a subset of a metric space (X, d) and T : S → X be a mapping. In this paper, we define the notion of lower directional increment QT(x, y] of T at x ∈ S in the direction of y ∈ X and give sufficient conditions for T to have a fixed point when QT(x, Tx] < 1 for each x ∈ S. The results herein generalize the recent theorems of Clarke (Caned. Math.
V. M. Sehgal
wiley   +1 more source

Abstract Leray–Schauder Type Alternatives and Extensions

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
We present a Leray–Schauder type alternative for a general class of maps. This enables us to obtain some Birkhoff–Kellogg type results and a Furi–Pera result.
O’Regan Donal
doaj   +1 more source

Fixed Point Theorem in Complex Valued Metric Space

open access: yes, 2017
:  The Purpose of this paper is to generalize a theorem of Murthy et al, for a pair of maps in a complex valued metric space in the lines of Murthy et al.2010 mathematics subject classification: primary 47H10; secondary ...
C. Sreedhar
semanticscholar   +1 more source

Leray–Schauder Alternatives for Maps Satisfying Countable Compactness Conditions

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper we present Leray–Schauder alternatives for a general class of Mönch type maps.
O’Regan Donal
doaj   +1 more source

Some Fixed Point Theorems for Kannan Mappings [PDF]

open access: yes, 2010
2000 Mathematics Subject Classification: Primary: 47H10; Secondary: 54H25.Some results on the existence and uniqueness of fixed points for Kannan mappings on admissible subsets of bounded metric spaces and on bounded closed convex subsets of complete ...
Narang, T. D., Tejpal, Shavetambry
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