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## Search Articles

The European physical journal. ST, Special topics, ISSN 1951-6355, 12/2017, Volume 226, Issue 16, pp. 3513 - 3524

... JOURNAL
SPECIAL TOPICS
Regular Article
Nonexistence of global solutions for a class of
sequential fractional di erential inequalities
Bessem Samet a
Department...

Condensed Matter Physics | Measurement Science and Instrumentation | Materials Science, general | Classical and Continuum Physics | Atomic, Molecular, Optical and Plasma Physics | Physics, general | Physics | Physics, Multidisciplinary | Physical Sciences | Science & Technology | Test procedures | Inequalities | Derivatives

Condensed Matter Physics | Measurement Science and Instrumentation | Materials Science, general | Classical and Continuum Physics | Atomic, Molecular, Optical and Plasma Physics | Physics, general | Physics | Physics, Multidisciplinary | Physical Sciences | Science & Technology | Test procedures | Inequalities | Derivatives

Journal Article

Abstract and applied analysis, ISSN 1085-3375, 12/2012, Volume 2012

We establish fixed point theorems for a new class of contractive mappings. As consequences of our main results, we obtain fixed point theorems on metric spaces...

Journal Article

Nonlinear analysis, ISSN 0362-546X, 2012, Volume 75, Issue 4, pp. 2154 - 2165

In this paper, we introduce a new concept of
α
–
ψ
-contractive type mappings and establish fixed point theorems for such mappings in complete metric spaces....

Contractive mapping | Coupled fixed point | Fixed point

Contractive mapping | Coupled fixed point | Fixed point

Journal Article

Journal of inequalities and applications, ISSN 1029-242X, 01/2014, Volume 2014, Issue 1, pp. 1 - 8

... c c e s s
A new generalization of the Banach
contraction principle
Mohamed Jleli and Bessem Samet *
* Correspondence:
bsamet@ksu.edu.sa
Department...

Banach contraction | fixed point | Analysis | generalized metric | Mathematics, general | Mathematics | Applications of Mathematics | Generalized metric | Fixed point | Physical Sciences | Mathematics, Applied | Science & Technology

Banach contraction | fixed point | Analysis | generalized metric | Mathematics, general | Mathematics | Applications of Mathematics | Generalized metric | Fixed point | Physical Sciences | Mathematics, Applied | Science & Technology

Journal Article

Computers & mathematics with applications (1987), ISSN 0898-1221, 2011, Volume 62, Issue 8, pp. 3204 - 3214

Recently, Heman Kumar Nashine and Bessem Samet [H.K. Nashine, B. Samet, Fixed point results for mappings satisfying
(
ψ
,
ϕ...

Weakly contractive condition | Partially ordered set | Coincidence point | Weakly increasing | Altering distance function | Common fixed point | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Nonlinearity | Theorems | Mathematical models | Mapping | Metric space

Weakly contractive condition | Partially ordered set | Coincidence point | Weakly increasing | Altering distance function | Common fixed point | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Nonlinearity | Theorems | Mathematical models | Mapping | Metric space

Journal Article

Nonlinear analysis, ISSN 0362-546X, 06/2010, Volume 72, Issue 12, pp. 4508 - 4517

Let
X
be a non-empty set and
F
:
X
×
X
→
X
be a given mapping. An element
(
x
,
y
)
∈
X
×
X
is said to be a coupled fixed point of the mapping
F
if
F
(
x
,
y
)...

Partially ordered set | Coupled fixed point | Generalized Meir–Keeler contraction | Contraction of integral type | Generalized Meir-Keeler contraction | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Nonlinearity | Theorems | Complement | Mapping | Metric space

Partially ordered set | Coupled fixed point | Generalized Meir–Keeler contraction | Contraction of integral type | Generalized Meir-Keeler contraction | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Nonlinearity | Theorems | Complement | Mapping | Metric space

Journal Article

Annals of functional analysis, ISSN 2008-8752, 2010, Volume 1, Issue 2, pp. 46 - 56

In this paper, we establish some new coupled fixed point theorems in complete metric spaces, using a new concept of F-invariant set. We introduce the notion of...

Partially ordered set | Coupled fixed point | F-invariant set | Fixed point of N-order | Cone metric space | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Partially ordered set | Coupled fixed point | F-invariant set | Fixed point of N-order | Cone metric space | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

8.
Full Text
Existence Results for a Coupled System of Nonlinear Fourth-Order Differential Equations

Abstract and applied analysis, ISSN 1085-3375, 12/2013, Volume 2013, pp. 1 - 9

Sufficient conditions are obtained for the existence of solutions to a coupled system of nonlinear fourth-order differential equations.

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Research | Differential equations, Nonlinear | Existence theorems | Mathematical research | Ordinary differential equations | Models

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Research | Differential equations, Nonlinear | Existence theorems | Mathematical research | Ordinary differential equations | Models

Journal Article

2018, ISBN 9811329125, 173

This book provides a detailed study of recent results in metric fixed point theory and presents several applications in nonlinear analysis, including matrix...

Fixed point theory

Fixed point theory

eBook

Journal of fixed point theory and applications, ISSN 1661-7746, 08/2018, Volume 20, Issue 3, pp. 1 - 20

... nullSpringer Nature Switzerland AG 2018 and Applications
On a new generalization of metric spaces
Mohamed Jleli and Bessem Samet
Abstract. In this paper, we introduce...

Mathematical Methods in Physics | 54E50 | 47H10 | 54A20 | Analysis | Banach contraction principle | Mathematics, general | Mathematics | topological properties | {\mathcal {F}}$$ F -metric space | F-metric space | Metric space | Topology

Mathematical Methods in Physics | 54E50 | 47H10 | 54A20 | Analysis | Banach contraction principle | Mathematics, general | Mathematics | topological properties | {\mathcal {F}}$$ F -metric space | F-metric space | Metric space | Topology

Journal Article

11.
Full Text
Discontinuous critical Fujita exponents for the heat equation with combined nonlinearities

Proceedings of the American Mathematical Society, ISSN 0002-9939, 06/2020, Volume 148, Issue 6, pp. 2579 - 2593

We consider the nonlinear heat equation u_t-\Delta u =\vert u\vert^p+b \vert\nabla u\vert^q in (0,\infty )\times \mathbb{R}^n, where n\geq 1, p>1, q\geq 1, and...

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

Journal of inequalities and applications, ISSN 1029-242X, 01/2018, Volume 2018, Issue 1, pp. 1 - 10

...
Discussion of some inequalities
via fractional integrals
Mokhtar Kirane 1,2,3 and Bessem Samet 4*
* Correspondence:
bsamet@ksu.edu.sa 4
Department of Mathematics...

inequalities | 26D10 | Analysis | 26A33 | Mathematics, general | Mathematics | Applications of Mathematics | fractional integrals | Physical Sciences | Mathematics, Applied | Science & Technology | Integrals | Inequalities | Research

inequalities | 26D10 | Analysis | 26A33 | Mathematics, general | Mathematics | Applications of Mathematics | fractional integrals | Physical Sciences | Mathematics, Applied | Science & Technology | Integrals | Inequalities | Research

Journal Article

Nonlinear analysis, ISSN 0362-546X, 03/2012, Volume 75, Issue 4, pp. 2154 - 2165

In this paper, we introduce a new concept of alpha-psi-contractive type mappings and establish fixed point theorems for such mappings in complete metric...

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

Journal of inequalities and applications, ISSN 1029-242X, 01/2019, Volume 2019, Issue 1, pp. 1 - 15

... inequalities for nonlinear fractional differential equations and systems involving Caputo-type fractional derivatives Mohamed Jleli1, Bessem Samet1* and Yong Zhou2,3...

Caputo-type fractional derivative | Lyapunov-type inequalities | Systems | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Nonlinear equations | Boundary value problems | Differential equations

Caputo-type fractional derivative | Lyapunov-type inequalities | Systems | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Nonlinear equations | Boundary value problems | Differential equations

Journal Article

Computers & mathematics with applications (1987), ISSN 0898-1221, 09/2019, Volume 78, Issue 5, pp. 1380 - 1385

We consider the nonlinear time fractional heat equation CD0αu(t,x)−Δu(t,x)=|u(t,x)|p,(t,x)∈(0,∞)×Dcsubject to the initial condition u(0,x)=u0(x),x∈Dcand the...

Critical exponent | Caputo-fractional derivative | Time fractional heat equation | Blow-up | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Critical exponent | Caputo-fractional derivative | Time fractional heat equation | Blow-up | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

Boundary value problems, ISSN 1687-2762, 12/2017, Volume 2017, Issue 1, pp. 1 - 13

... to a
toppled systems of differential equations of
non-integer order
Amjad Ali 1* , Bessem Samet 2 , Kamal Shah 1 and Rahmat Ali Khan 1
* Correspondence:
amjadalimna...

Mathematics | non-integer order differential equations | integral boundary conditions | coupled systems | 34A08 | topological degree method | Ordinary Differential Equations | Analysis | Difference and Functional Equations | Approximations and Expansions | 35R11 | Mathematics, general | Partial Differential Equations | Hyers-Ullam stability | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Differential equations | Tests, problems and exercises | Boundary value problems | Stability | Integrals | Mathematical analysis | Uniqueness | Boundary conditions | Condensation

Mathematics | non-integer order differential equations | integral boundary conditions | coupled systems | 34A08 | topological degree method | Ordinary Differential Equations | Analysis | Difference and Functional Equations | Approximations and Expansions | 35R11 | Mathematics, general | Partial Differential Equations | Hyers-Ullam stability | Physical Sciences | Mathematics, Applied | Science & Technology | Fixed point theory | Usage | Differential equations | Tests, problems and exercises | Boundary value problems | Stability | Integrals | Mathematical analysis | Uniqueness | Boundary conditions | Condensation

Journal Article

Filomat, ISSN 0354-5180, 09/2015, Volume 29, Issue 8, pp. 1831 - 1837

We consider the generalized continuous-time Lyapunov equation:
A*XB + B*XA = -Q,
where Q is an N x N Hermitian positive definite matrix and A, B are arbitrary...

Iterative algorithm | Coupled fixed point | Positive definite solution | Lyapunov equation | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Iterative algorithm | Coupled fixed point | Positive definite solution | Lyapunov equation | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology

Journal Article

Abstract and applied analysis, ISSN 1085-3375, 3/2015, Volume 2015

In 2012, Samet et al. introduced the notion of α-ψ-contractive mapping and gave sufficient conditions for the existence of fixed points for this class of...

Fixed point theory | Metric spaces | Research | Mathematical research | Mappings (Mathematics) | Traveling salesman problem | Integral equations | Cybernetics | Mapping

Fixed point theory | Metric spaces | Research | Mathematical research | Mappings (Mathematics) | Traveling salesman problem | Integral equations | Cybernetics | Mapping

Journal Article

Journal of fixed point theory and applications, ISSN 1661-7738, 6/2015, Volume 17, Issue 2, pp. 439 - 452

We discuss the existence and uniqueness of solutions to the minimization problem
$${{\rm min}_{x \epsilon A} d(x, Tx)}$$
min
x
ϵ
A
d
(
x
,
T
x
)
, where A, B...

MK-proximal contraction | Mathematics | 30L99 | 16G20 | Best proximity point | metric space | Mathematical Methods in Physics | 47H10 | partially ordered set | fixed point | Analysis | Mathematics, general | 46N10 | Physical Sciences | Mathematics, Applied | Science & Technology | Algorithms

MK-proximal contraction | Mathematics | 30L99 | 16G20 | Best proximity point | metric space | Mathematical Methods in Physics | 47H10 | partially ordered set | fixed point | Analysis | Mathematics, general | 46N10 | Physical Sciences | Mathematics, Applied | Science & Technology | Algorithms

Journal Article

Fixed point theory and applications (Hindawi Publishing Corporation), ISSN 1687-1820, 12/2015, Volume 2015, Issue 1, pp. 1 - 19

... contraction and
applications to functional equations in
dynamic programming
Huseyin Isik 1 , Bessem Samet 2* and Calogero Vetro 3
* Correspondence:
bsamet@ksu.edu.sa 2...

65Q20 | point of coincidence | Mathematical and Computational Biology | Mathematics | weakly compatible mappings | Topology | 54H25 | 47H10 | T -cyclic ( α , β ) $(\alpha,\beta)$ -admissible mapping | functional equations | Analysis | common fixed point | Mathematics, general | Applications of Mathematics | Differential Geometry | T-cyclic (α,β)-admissible mapping | Physical Sciences | Mathematics, Applied | Science & Technology | Usage | Functions | Dynamic programming | Research | Functional equations | Contraction operators | Texts | Theorems | Mathematical analysis

65Q20 | point of coincidence | Mathematical and Computational Biology | Mathematics | weakly compatible mappings | Topology | 54H25 | 47H10 | T -cyclic ( α , β ) $(\alpha,\beta)$ -admissible mapping | functional equations | Analysis | common fixed point | Mathematics, general | Applications of Mathematics | Differential Geometry | T-cyclic (α,β)-admissible mapping | Physical Sciences | Mathematics, Applied | Science & Technology | Usage | Functions | Dynamic programming | Research | Functional equations | Contraction operators | Texts | Theorems | Mathematical analysis

Journal Article