𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Perturbed iterative process for fixed points of multivalued φ-hemicontractive mappings in Banach spaces

✍ Scribed by Min-Ru Bai

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
510 KB
Volume
41
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

In

this paper, the unique fixed point of multivalued +hemicontractive mapping is approximated by a perturbed iteration method in arbitrary real Banach spaces.

📜 SIMILAR VOLUMES

Iterative process with errors for fixed
Iterative process with errors for fixed points of multivalued Φ-hemicontractive operators in uniformly smooth Banach spaces
✍ Zhenyu Huang 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 508 KB

This paper proves that, under suitable conditions, the multivalued Ishikawa iterative sequence with errors strongly converges to the unique fixed point of T. The related result deals with the strong convergence of the Ishikawa iterative sequence with errors to the unique solution of the equation f E

Approximations for fixed points of φ-hem
Approximations for fixed points of φ-hemicontractive mappings by the Ishikawa iterative process with mixed errors
✍ Yeol Je Cho; Haiyun Zhou; Shin Min Kang; Seong Sik Kim 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 650 KB

X be a real uniformly smooth Banach space, K be a nonempty closed convex subset of X and T K + K be a generalized Lrpschrtzran and hemrcontractrve mapping It IS shown that the Ishlkawa iterative process with mrxed errors converges strongly to the unique fixed pomt of the mapping T As consequences, s

A perturbed iterative procedure for mult
A perturbed iterative procedure for multivalued pseudo-contractive mappings and multivalued accretive mappings in Banach spaces
✍ Nan-Jing Huang; Min-Ru Bai 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 458 KB

AbstraetmThe main purpose of this paper is to introduce and study a new perturbed iteration method for multivalued mappings. Some strong convergence theorems of perturbed iteration sequences for multivalued pseudo-contractive mappings and strongly accretive mappings are obtained.

Mann and Ishikawa iterative processes fo
Mann and Ishikawa iterative processes for multivalued mappings in Banach spaces
✍ Bancha Panyanak 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 193 KB

Let K be a nonempty compact convex subset of a uniformly convex Banach space, and T : K → P(K ) a multivalued nonexpansive mapping. We prove that the sequences of Mann and Ishikawa iterates converge to a fixed point of T . This generalizes former results proved by Sastry and Babu [K.P.R. Sastry, G.V