Araştırma Makalesi

Some new fixed point results for monotone enriched nonexpansive mappings in ordered Banach spaces

Cilt: 5 Sayı: 4 30 Aralık 2021
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Some new fixed point results for monotone enriched nonexpansive mappings in ordered Banach spaces

Abstract

We study monotone enriched nonexpansive mappings and present some new existence and convergence theorems for these mappings in the setting of ordered Banach spaces. More precisely, we employ the Krasnosel'skii iterative method to approximate fixed points of enriched nonexpansive under different conditions. This way a number of results from the literature have been extended, generalized and complemented.

Keywords

Kaynakça

  1. [1] M.R. Alfuraidan, M.A. Khamsi, A fixed point theorem for monotone asymptotically nonexpansive mappings, Proc. Amer. Math. Soc. 146 (2018), no. 6, 2451-2456.
  2. [2] M.R. Alfuraidan, M.A. Khamsi, Fixed point theorems and convergence theorems for some monotone generalized nonex- pansive mappings, Carpathian J. Math. 36 (2020), no. 2, 199-204.
  3. [3] V. Berinde, Approximating fixed points of enriched nonexpansive mappings by Krasnoselskij iteration in Hilbert spaces, Carpathian J. Math. 35 (2019), no. 3, 293-304.
  4. [4] V. Berinde, Approximating fixed points of enriched nonexpansive mappings in Banach spaces by using a retraction- displacement condition. Carpathian J. Math. 36 (2020), no. 1, 27-34.
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  6. [6] B.A. Bin Dehaish, M.A. Khamsi, Browder and Göhde fixed point theorem for monotone nonexpansive mappings, Fixed Point Theory Appl. 2016 (2016), Paper No. 20, 1-9.
  7. [7] F.E. Browder, Nonexpansive nonlinear operators in a Banach space, Proc. Nat. Acad. Sci. U.S.A. 54 (1965), 1041-1044.
  8. [8] S. Carl, S. Heikkilä, Fixed point theory in ordered sets and applications: from differential and integral equations to game theory, Springer Science & Business Media (2010).

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Aralık 2021

Gönderilme Tarihi

20 Kasım 2020

Kabul Tarihi

4 Temmuz 2021

Yayımlandığı Sayı

Yıl 2021 Cilt: 5 Sayı: 4

Kaynak Göster

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