Araştırma Makalesi

Solutions of Neutral Differential Inclusions

Cilt: 6 Sayı: 1 31 Mart 2022
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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

Kaynakça

  1. [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. [2] D. Averna, S.A. Marano, Existence of solutions for operator inclusions, a unified approach. Rend. Sem. Mat. Univ. Padova 102, (1999).
  3. [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. [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. [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. [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. [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. [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.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yazarlar

Ameni Remadı Bu kişi benim
Tunisia

Yayımlanma Tarihi

31 Mart 2022

Gönderilme Tarihi

21 Ağustos 2021

Kabul Tarihi

16 Kasım 2021

Yayımlandığı Sayı

Yıl 2022 Cilt: 6 Sayı: 1

Kaynak Göster

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