Results 61 to 70 of about 1,473 (117)

Solution to Fredholm integral inclusions via (F, δb)-contractions

open access: yesOpen Mathematics, 2016
We present sufficient conditions for the existence of solutions of Fredholm integral inclusion equations using new sort of contractions, named as multivalued almost F -contractions and multivalued almost F -contraction pairs under ı-distance, defined in ...
Nashine Hemant Kumar   +2 more
doaj   +1 more source

Fixed‐Point Result for Generalized Enriched Contractions With Applications in Cantilever Beam Problem and Homotopy Theory

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this study, we introduce a novel class of mappings called orthogonal extended interpolative enriched Ćirić–Reich–Rus type ψF‐contractions and establish fixed‐point results within the framework of orthogonal complete convex extended b‐metric spaces. The unique fixed point is approximated using a Krasnoselskii‐type iterative method. To demonstrate the
Shivani Kukreti   +4 more
wiley   +1 more source

A Discrete Multivariate Mean Value Theorem with Applications [PDF]

open access: yes
AMS classifications: 47H10; 54H25; 55M20; 90C33; 91B50Discrete set;mean value theorem;fixed point;algorithm;equilibrium ...
Talman, A.J.J., Yang, Z.F.
core   +1 more source

Fixed Point Results of Expanding Mappings in Nonsolid Abstract Metric Spaces With Applications

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this paper, several fixed point results of expanding mappings in the extended abstract metric spaces are established with nonsolid cones. The definitions of Cauchy sequences, convergent sequences, and completeness in the nonsolid extended abstract metric spaces are reintroduced.
Yan Han   +3 more
wiley   +1 more source

Convergence and stability of Fibonacci-Mann iteration for a monotone non-Lipschitzian mapping

open access: yesDemonstratio Mathematica, 2019
In this paper, we prove strong convergence and Δ−convergence of Fibonacci-Mann iteration for a monotone non-Lipschitzian mapping (i.e. nearly asymptotically nonexpansive mapping) in partially ordered hyperbolic metric space.
Aggarwal Sajan, Uddin Izhar
doaj   +1 more source

On Weak Compatible Mappings, 3‐D Column Graphs Approach in Multiplicative Generalized Metric Spaces With an Application

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
The purpose of this work is to investigate the approach to 3‐D column graphs in multiplicative generalized metric spaces (MGM‐spaces) utilizing single‐valued mappings with an application. In MGM‐space, we use weakly compatible four self‐mappings to prove common fixed point (CFP) results without requiring their continuity.
Saif Ur Rehman   +6 more
wiley   +1 more source

Some new fixed point results in b-metric spaces

open access: yesTopological Algebra and its Applications, 2018
In this paper, we consider, discuss, improve and generalize recent fixed point results for mappings in b-metric space. These results are generalizations of the analogous ones recently proved by Khojasteh et al. [12] and Demma et al. [8].
Yildirim Isa, Ansari Arslan Hojat
doaj   +1 more source

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

open access: yes, 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  

Positive coincidence points for a class of nonlinear operators and their applications to matrix equations

open access: yesOpen Mathematics, 2020
Consider an ordered Banach space and f,gf,g two self-operators defined on the interior of its positive cone. In this article, we prove that the equation f(X)=g(X)f(X)=g(X) has a positive solution, whenever f is strictly α\alpha -concave g-monotone or ...
Kedim Imed   +2 more
doaj   +1 more source

A simple case within Nash-Moser-Ekeland theory

open access: yes, 2018
We present simple and direct proof to an important case of Nash-Moser-Ekeland theorem.Comment: In this third version we have made numerous improvements inspired by the referee, like correcting the definition of directional derivative to the standard ...
Ivanov, Milen, Zlateva, Nadia
core  

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