ON A DISTINCT FAMILY OF ITERATIVE SCHEMES FOR WEAK CONTRACTIONS
Abstract
This article introduces a distinct collection of fixed point iteration schemes. For this collection, a strong convergence result is established involving weak contractions. Additionally, a comparison result is obtained to compare the speed of convergence of different iterations in the collection. Furthermore, a result comparing some iterations from the collection with several notable and recent iterative schemes from the literature is procured. Finally, these comparisons are elucidated by a non-trivial exemplification, which is represented graphically as well. This family of iterations is conjectured to be the fastest in literature for steps more than three.
Keywords
References
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Details
Primary Language
English
Subjects
Operator Algebras and Functional Analysis
Journal Section
Research Article
Publication Date
May 4, 2026
Submission Date
March 25, 2025
Acceptance Date
September 2, 2025
Published in Issue
Year 2026 Volume: 16 Number: 5
APA
Owais, M., & Chanda, A. (2026). ON A DISTINCT FAMILY OF ITERATIVE SCHEMES FOR WEAK CONTRACTIONS. TWMS Journal of Applied and Engineering Mathematics, 16(5), 576-583. https://izlik.org/JA95RG93WX
AMA
1.Owais M, Chanda A. ON A DISTINCT FAMILY OF ITERATIVE SCHEMES FOR WEAK CONTRACTIONS. JAEM. 2026;16(5):576-583. https://izlik.org/JA95RG93WX
Chicago
Owais, Mohammad, and Ankush Chanda. 2026. “ON A DISTINCT FAMILY OF ITERATIVE SCHEMES FOR WEAK CONTRACTIONS”. TWMS Journal of Applied and Engineering Mathematics 16 (5): 576-83. https://izlik.org/JA95RG93WX.
EndNote
Owais M, Chanda A (May 1, 2026) ON A DISTINCT FAMILY OF ITERATIVE SCHEMES FOR WEAK CONTRACTIONS. TWMS Journal of Applied and Engineering Mathematics 16 5 576–583.
IEEE
[1]M. Owais and A. Chanda, “ON A DISTINCT FAMILY OF ITERATIVE SCHEMES FOR WEAK CONTRACTIONS”, JAEM, vol. 16, no. 5, pp. 576–583, May 2026, [Online]. Available: https://izlik.org/JA95RG93WX
ISNAD
Owais, Mohammad - Chanda, Ankush. “ON A DISTINCT FAMILY OF ITERATIVE SCHEMES FOR WEAK CONTRACTIONS”. TWMS Journal of Applied and Engineering Mathematics 16/5 (May 1, 2026): 576-583. https://izlik.org/JA95RG93WX.
JAMA
1.Owais M, Chanda A. ON A DISTINCT FAMILY OF ITERATIVE SCHEMES FOR WEAK CONTRACTIONS. JAEM. 2026;16:576–583.
MLA
Owais, Mohammad, and Ankush Chanda. “ON A DISTINCT FAMILY OF ITERATIVE SCHEMES FOR WEAK CONTRACTIONS”. TWMS Journal of Applied and Engineering Mathematics, vol. 16, no. 5, May 2026, pp. 576-83, https://izlik.org/JA95RG93WX.
Vancouver
1.Mohammad Owais, Ankush Chanda. ON A DISTINCT FAMILY OF ITERATIVE SCHEMES FOR WEAK CONTRACTIONS. JAEM [Internet]. 2026 May 1;16(5):576-83. Available from: https://izlik.org/JA95RG93WX