Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 200
Existence of fixed point for operationals operators and applications
Amirouche Mouhous, Karima Mebarki
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 25, 2022
March 03, 2176
April 15, 2176

Abstract: For applicability reasons, we often search for existence and localization of positive fixed points which may represent positive solutions for various nonlinear problems posed in a Banach space. Several fixed point theorems, including Krasnosel’skii type and Leggett-Williams type theorems in cones, have being established (see [2-5]).In this communication the functional Expansion-Compression fixed point theorem of Leggett-Williams type developed in [1] is extended to the class of mappings of the form T + F, where (I − T) is Lipschitz invertible map and F is k-set contraction. The arguments ...