Results 21 to 30 of about 5,702 (174)

Fixed point and coupled fixed point theorems on b-metric-like spaces

open access: yesJournal of Inequalities and Applications, 2013
We first introduce the concept of b-metric-like space which generalizes the notions of partial metric space, metric-like space and b-metric space. Then we establish the existence and uniqueness of fixed points in a b-metric-like space as well as in a ...
M. Alghamdi, N. Hussain, P. Salimi
semanticscholar   +1 more source

Firmly nonexpansive mappings in classes of geodesic spaces [PDF]

open access: yes, 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   +2 more
semanticscholar   +1 more source

Approximating fixed points of nearly asymptotically nonexpansive mappings in CAT(k) spaces

open access: yesArab Journal of Mathematical Sciences, 2018
In this paper we approximate common fixed points of nearly asymptotically nonexpansive mappings under modified S P-iteration process in the setting of CAT(k) spaces and establish strong and Δ-convergence theorems.
Anupam Sharma
doaj   +1 more source

A Picard-Mann hybrid iterative process

open access: yes, 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

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

open access: yes, 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   +2 more
semanticscholar   +1 more source

Mild solution in the α-norm for some partial integrodifferential equations involving a nonlocal condition

open access: yesNonautonomous Dynamical Systems, 2023
In this work, we investigate the existence of mild solutions in the α\alpha -norm for a class of nonlocal integrodifferential equations. We employ the theory of resolvent operators introduced by R. Grimmer. The Leray-Schauder alternative is the principal
El Matloub Jaouad, Ezzinbi Khalil
doaj   +1 more source

On multivalued Suzuki-type θ-contractions and related applications

open access: yesOpen Mathematics, 2020
In this study, we develop the concept of multivalued Suzuki-type θ-contractions via a gauge function and established two new related fixed point theorems on metric spaces. We also discuss an example to validate our results.
Ali Amjad   +5 more
doaj   +1 more source

Results in Strongly Minihedral Cone and Scalar Weighted Cone Metric Spaces and Applications

open access: yesAnnales Mathematicae Silesianae, 2021
The convergence of sequences and non-unique fixed points are established in ℳ-orbitally complete cone metric spaces over the strongly minihedral cone, and scalar weighted cone assuming the cone to be strongly minihedral.
Tomar Anita, Joshi Meena
doaj   +1 more source

Existence of positive periodic solutions for first-order nonlinear differential equations with multiple time-varying delays

open access: yesOpen Mathematics, 2022
This study elucidates the sufficient conditions for the first-order nonlinear differential equations with periodic coefficients and time-varying delays to have positive periodic solutions.
Han Xiaoling, Lei Ceyu
doaj   +1 more source

Unique solvability for an inverse problem of a nonlinear parabolic PDE with nonlocal integral overdetermination condition

open access: yesOpen Mathematics, 2022
In this work, the solvability for an inverse problem of a nonlinear parabolic equation with nonlocal integral overdetermination supplementary condition is examined.
Huntul Mousa J.   +3 more
doaj   +1 more source

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