Results 41 to 50 of about 33,247,139 (333)

Hölder-type spaces, singular operators, and fixed point theorems

open access: yes, 2021
In this note, we give a sufficient condition for the existence of Hölder-type solutions to a class of fractional initial value problems involving Caputo derivatives.
López Brito, María Belén   +4 more
core   +1 more source

Fixed Point Results for Multi-Valued Contractions in b−Metric Spaces and an Application

open access: yesMathematics, 2019
In this paper, by characterizing a weak contractive condition based on using C − functions and α − admissible multi-valued mapping of type S, we present some fixed point results for ( α , F ) − admissible multi-valued mappings in the setting of b ...
H. Qawaqneh   +4 more
semanticscholar   +1 more source

Fisher type fixed point results in controlled metric spaces

open access: yes, 2020
In the present paper, we define a rational contractive condition of Fisher type in the context of controlled metric space and obtain some generalized fixed point results in this space.
Durdana Lateef
semanticscholar   +1 more source

Fixed Point Results for Dualistic Contractions with an Application [PDF]

open access: yesDiscrete Dynamics in Nature and Society, 2020
In this paper, by introducing a convergence comparison property of a self-mapping, we establish some new fixed point theorems for Bianchini type, Reich type, and Dass-Gupta type dualistic contractions defined on a dualistic partial metric space. Our work generalizes and extends some well known fixed point results in the literature.
Muhammad Nazam   +4 more
openaire   +3 more sources

COMMON FIXED POINT AND INVARIANT APPROXIMATION RESULTS [PDF]

open access: yesBulletin of the Korean Mathematical Society, 2007
Let \(X\) be a linear space. A \(p\)-norm on \(X\) is a real-valued function \(\|\cdot\|_p\) on \(X\) with \(0< p\leq 1\), satisfying {\parindent=7mm \begin{itemize}\item[(i)] \(\| x\|_p\geq 0\) and \(\| x\|_p= 0\) if and only if \(x= 0\), \item[(ii)] \(\| x+ y\|_p\leq\| x\|_p+\| y\|_p\), \item[(iii)] \(\|\lambda x\|_p= |\lambda|^p\| x\|_p\) for all ...
Abbas, Mujahid, Kim, Jong Kyu
openaire   +1 more source

Multivalued Pseudo-Picard Operators and Fixed Point Results

open access: yesJournal of Function Spaces and Applications, 2013
We introduce the concept of multivalued pseudo-Picard (MPP) operator on a metric space. This concept is weaker than multivalued weakly Picard (MWP) operator, which is given by M. Berinde and V. Berinde (2007).
Gülhan Mınak, Özlem Acar, Ishak Altun
doaj   +1 more source

New Fixed Point Results via a Graph Structure

open access: yesMathematics, 2021
The main aim of this paper is to introduce and study some fixed point results for rational multivalued G-contraction and F-Khan-type multivalued contraction mappings on a metric space with a graph. At the end, we give an illustrative example.
Özlem Acar   +2 more
doaj   +1 more source

Theory and Application of Fixed Point [PDF]

open access: yes, 2021
In the past few decades, several interesting problems have been solved using fixed point theory. In addition to classical ordinary differential equations and integral equation, researchers also focus on fractional differential equations (FDE) and ...

core   +1 more source

Some Remarks on Multidimensional Fixed Point Theorems

open access: yes, 2014
MARTINEZ-MORENO, JUAN/0000-0002-3340-2781In this paper, we show that most of the multidimensional (including coupled, tripled, quadrupled) fixed point theorems in the context of (ordered) metric spaces are, in fact, immediate consequences of well-known ...
Karapinar, E.   +3 more
core   +2 more sources

On Fixed Point Results in Partial b-Metric Spaces

open access: yesJournal of Function Spaces, 2021
Partial b-metric spaces are characterised by a modified triangular inequality and that the self-distance of any point of space may not be zero and the symmetry is preserved.
Haitham Qawaqneh   +4 more
doaj   +1 more source

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