On approximating fixed points of strictly pseudocontractive mappings in metric spaces

บทความในวารสาร

ผู้เขียน/บรรณาธิการ

กลุ่มสาขาการวิจัยเชิงกลยุทธ์

รายละเอียดสำหรับงานพิมพ์

รายชื่อผู้แต่ง: Salisu, Sani; Berinde, Vasile; Sriwongsa, Songpon; Kumam, Poom

ปีที่เผยแพร่ (ค.ศ.): 2024

วารสาร: Carpathian Journal of Mathematics (1843-4401)

Volume number: 40

Issue number: 2

หน้าแรก: 419

หน้าสุดท้าย: 430

จำนวนหน้า: 12

นอก: 1843-4401

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85190945062&doi=10.37193%2fCJM.2024.02.12&partnerID=40&md5=a61ddc1107fa1360b61c717d0effed60

ภาษา: English-Great Britain (EN-GB)

ดูบนเว็บไซต์ของสำนักพิมพ์

บทคัดย่อ

In this work, we analyse the class of strictly pseudocontractive mappings in general metric spaces by providing a comprehensive and appropriate definition of a strictly pseudocontractive mapping, which serves as a natural extension of the existing notion. Moreover, we establish its various characterizations and explore several significant properties of these mappings in relation to fixed point theory in CAT(0) spaces. Specifically, we establish that these mappings are Lipschitz continuous, satisfying the demiclosedness-type property, and possessing a closed convex fixed point set. Furthermore, we show that the fixed points of the mappings can be effectively approximated using an iterative scheme for fixed points of nonexpansive mappings. The results in this work contribute to a deeper understanding of strictly pseudocontractive mappings and their applicability in the context of fixed point theory in metric spaces. © 2024, SINUS Association. All rights reserved.

คำสำคัญ

enriched nonexpansive, strictly pseudocontractive