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