Results 101 to 110 of about 5,700 (185)

Positive solution of a fractional differential equation with integral boundary conditions

Journal of Applied Mathematics and Computational Mechanics, 2018
In this paper, we prove the existence and uniqueness of a positive solution for a boundary value problem of nonlinear fractional differential equations involving a Caputo fractional operator with integral boundary conditions.
Mohammed S Abdo, Hanan A. Wahash, S. K. Panchal   +2 more
semanticscholar   +1 more source

The fixed point theorems of 1-set-contractive operators in Banach space

Fixed Point Theory and Applications, 2011
In this paper, we obtain some new fixed point theorems and existence theorems of solutions for the equation Ax = μx using properties of strictly convex (concave) function and theories of topological degree. Our results and methods are different from
Wang Shuang
doaj  

Fixed point results for single and set-valued α-η-ψ-contractive mappings

, 2013
Samet et al. (Nonlinear Anal. 75:2154-2165, 2012) introduced α-ψ-contractive mappings and proved some fixed point results for these mappings. More recently Salimi et al. (Fixed Point Theory Appl.
N. Hussain, P. Salimi, A. Latif
semanticscholar   +1 more source

Metrical fixed point theorems via locally finitely T-transitive binary relations under certain control functions

Miskolc Mathematical Notes, 2019
In this paper, we extend relation-theoretic contraction principle due to Alam and Imdad to a nonlinear contraction using a relatively weaker class of continuous control functions employing a locally finitely T -transitive binary relation, which improves ...
A. Alam, Mohammad Arif, M. Imdad
semanticscholar   +1 more source

Mixed monotone-generalized contractions in partially ordered probabilistic metric spaces

Fixed Point Theory and Applications, 2011
In this article, a new concept of mixed monotone-generalized contraction in partially ordered probabilistic metric spaces is introduced, and some coupled coincidence and coupled fixed point theorems are proved.
Agarwal Ravi, Samet Bessem, Ćirić Ljubomir   +2 more
doaj  

Remarks on some coupled fixed point theorems in G-metric spaces

, 2013
In this paper, we show that, unexpectedly, most of the coupled fixed point theorems in the context of (ordered) G-metric spaces are in fact immediate consequences of usual fixed point theorems that are either well known in the literature or can be ...
R. Agarwal, E. Karapınar
semanticscholar   +1 more source

Fixed point results for contractions of polynomial type

Demonstratio Mathematica
We introduce two new classes of single-valued contractions of polynomial type defined on a metric space. For the first one, called the class of polynomial contractions, we establish two fixed point theorems.
Jleli Mohamed, Păcurar Cristina Maria, Samet Bessem   +2 more
doaj   +1 more source

Fixed and periodic points of generalized contractions in metric spaces

, 2013
Wardowski (Fixed Point Theory Appl. 2012:94, 2012, doi:10.1186/1687-1812-2012-94) introduced a new type of contraction called F-contraction and proved a fixed point result in complete metric spaces, which in turn generalizes the Banach contraction ...
M. Abbas, Basit Ali, S. Romaguera
semanticscholar   +1 more source

Common fixed point results for mappings under nonlinear contraction of cyclic form in ordered metric spaces

, 2013
In this paper, we introduce the notion of a cyclic (ψ,A,B)-contraction for the pair (f,T) of self-mappings on the set X. We utilize our definition to introduce some common fixed point theorems for the two mappings f and T under a set of conditions. Also,
W. Shatanawi, M. Postolache
semanticscholar   +1 more source

On Hilbert Functions of Points in Projective Space and Structure of Graded Modules

, 2018
In this paper, we investigate the relationship between the Hilbert functions and the associated properties of the graded modules. To attain this, we construct the graded modules from the sets of points in projective space, $\mathbb{P}_k^n$ .
Mgani, Damas Karmel, Mwanzalima, Makungu
core