As a very important part of nonlinear analysis, fixed point theory plays a key role in solvability of many complex systems from mathematics applied to chemical reactors, neutron …
We give a survey of the known results concerning the sets 𝑐₀ (Λ), 𝑐 (Λ) and 𝑐∞(Λ) including their basic topological properties, their first and second dual spaces, and the …
S Djebali - … Mathematics in Tunisia: International Conference on …, 2015 - Springer
In this report, we first review some classical results concerning the fixed point theory for an important class of mappings for which the Banach contraction principle fails, namely …
In this brief note, we present a fixed point theorem in the Fr $\acute {e} $ chet space. Also we study a new family of measures of noncompactness on $ C^\infty (\Bbb {R} _+) $ and $ C^ n …
MA Alghamdi, WA Kirk, N Shahzad - Fixed Point Theory and Applications, 2014 - Springer
It is standard practice in metric fixed point theory to reduce fixed point questions for mappings defined on unbounded sets to the bounded case. Many of these results are …
A Allahyaria, HA Kayvanloob… - Int. J. Nonlinear …, 2024 - journals.semnan.ac.ir
In this brief note, we present a fixed point theorem in the Fréchet space. Also we study a new family of measures of noncompactness on C∞(R+) and Cn (R+) and we investigate the …
Z Bounegab, S Djebali - Mediterranean Journal of Mathematics, 2019 - Springer
In this paper, we present new fixed point theorems for multivalued nonexpansive mappings. Since Banach space can have any geometric structure, we consider mappings such that …
F CHOUIA, T MOUSSAOUI - Electronic Journal of Mathematical …, 2017 - journals.ekb.eg
ON A NEW FIXED POINT THEOREM IN HILBERT ALGEBRAS SPACES AND APPLICATION 1. Introduction Nonlinear integral equations are importa Page 1 Electronic Journal of …