Results 11 to 20 of about 5,560 (184)

Fixed points of a new type of contractive mappings in complete metric spaces

, 2012
In the article, we introduce a new concept of contraction and prove a fixed point theorem which generalizes Banach contraction principle in a different way than in the known results from the literature.
Dariusz Wardowski
semanticscholar   +1 more source

Metric-like spaces, partial metric spaces and fixed points

, 2012
By a metric-like space, as a generalization of a partial metric space, we mean a pair (X,σ), where X is a nonempty set and σ:X×X→R satisfies all of the conditions of a metric except that σ(x,x) may be positive for x∈X.
A. Amini-Harandi
semanticscholar   +1 more source

Iterated function systems consisting of F-contractions

Fixed Point Theory and Applications, 2013
In this paper we consider a particular case of a contractive self-mapping on a complete metric space, namely the F-contraction introduced by Wardowski (Fixed Point Theory Appl.
N. Secelean
semanticscholar   +1 more source

Existence and Ulam-Hyers stability of the implicit fractional boundary value problem with ψ-Caputo fractional derivative

, 2020
In this paper, we investigate the existence, uniqueness and Ulam-Hyers stability of solutions for nonlinear implicit fractional differential equations with boundary conditions involving a ψ-Caputo fractional derivative.
Hanan A. Wahash, Mohammed S Abdo, S. K. Panchal   +2 more
semanticscholar   +1 more source

Common Fixed Point Theorems in Fuzzy Metric Spaces

, 2016
In this paper we used the concept of compatible of type (P) in fuzzy metric spaces. Our result generalize earlier results due to Vasuki [18], Chugh and Kumar [3] and others. 2000 Mathematics Subject Classification: 54H25, 47H10.
R. N. Patel, M. K. Tiwari
semanticscholar   +1 more source

Firmly nonexpansive mappings in classes of geodesic spaces [PDF]

, 2012
Firmly nonexpansive mappings play an important role in metric fixed point theory and optimization due to their correspondence with maximal monotone operators.
David Ariza-Ruiz, Laurentiu Leustean, Genaro López-Acedo   +2 more
semanticscholar   +1 more source

A General Fixed Point Theorem for Two Pairs of Absorbing Mappings in Gp -Metric Spaces

Annales Mathematicae Silesianae, 2020
A general fixed point theorem for two pairs of absorbing mappings satisfying a new type of implicit relation ([37]), without weak compatibility in Gp-metric spaces is proved.
Popa Valeriu
doaj   +1 more source

On α-ψ-Meir-Keeler contractive mappings

, 2013
In this paper, we introduce the notion of α-ψ-Meir-Keeler contractive mappings via a triangular α-admissible mapping. We discuss the existence and uniqueness of a fixed point of such a mapping in the setting of complete metric spaces.
E. Karapınar, Poom Kumam, P. Salimi
semanticscholar   +1 more source

Modified α-ψ-contractive mappings with applications

, 2013
The aim of this work is to modify the notions of α-admissible and α-ψ-contractive mappings and establish new fixed point theorems for such mappings in complete metric spaces. Presented theorems provide main results of Karapinar and Samet (Abstr.
P. Salimi, A. Latif, N. Hussain
semanticscholar   +1 more source

A Picard-Mann hybrid iterative process

, 2013
We introduce a new iterative process which can be seen as a hybrid of Picard and Mann iterative processes. We show that the new process converges faster than all of Picard, Mann and Ishikawa iterative processes in the sense of Berinde (Iterative ...
S. H. Khan
semanticscholar   +1 more source