EN
Solutions of Neutral Differential Inclusions
Abstract
Motivated by the study of neutral differential inclusions, we establish a new fixed point theorem for multivalued countably Meir-Keeler condensing mappings via an arbitrary measure of weak noncompactness which in turn include the fixed point theorems of Krasnoselskii and Dhage as special cases in non separable spaces.
Keywords
References
- [1] A. Aghajani, M. Mursaleen, A. Shole Haghighi, Fixed point theorems for Meir-Keeler condensing operators via measure of noncompactness, Acta. Math. Sci. 35B (3) (2015), 552-566.
- [2] D. Averna, S.A. Marano, Existence of solutions for operator inclusions, a unified approach. Rend. Sem. Mat. Univ. Padova 102, (1999).
- [3] J. Bana’s and M.-A. Taoudi, Fixed points and solutions of operator equations for the weak topology in Banach algebras, Taiwanese J. Math. 18 (2014), 871-893.
- [4] M. Belhadj, A. Ben Amar and M. Boumaiza, Some fixed point theorems for Meir-Keeler condensing operators and appli- cation to a system of integral equations, Bull. Belg. Math. Soc. Simon Stevin 26 (2019), 223-239.
- [5] A. Ben Amar, Krasnoselskii type fixed point theorems for multi-valued mappings with weakly sequentially closed graph, Ann. Univ. Ferrara 58 (2012), 1-10.
- [6] A. Ben Amar, M. Boumaiza and D. O’Regan, Hybrid fixed point theorems for multivalued mappings in Banach algebras under a weak topology setting, J. Fixed Point Theory Appl. DOI 10.1007/s11784-016-0289-9.
- [7] A. Ben Amar, S. Chouayekh and A. Jeribi, Fixed point theory in a new class of Banach algebras and application, Afr. Mat. 24 (2013), no. 4, 725-724.
- [8] A. Ben Amar, S. Chouayekh, A. Jeribi, New fixed point theorems in Banach algebras under weak topology features and applications to nonlinear integral equations, Journal of Functional Analysis 259 (2010), 2215-2237.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
March 31, 2022
Submission Date
August 21, 2021
Acceptance Date
November 16, 2021
Published in Issue
Year 2022 Volume: 6 Number: 1