The purpose of this paper is to introduce the random Picard-Mann hybrid iterative process. We establish the strong convergence theorems and summable almost T-stability of the random Picard-Mann hybrid iterative process and the random Mann-type iterative process generated by a generalized class of random operators in separable Banach spaces. Our results are generalizations and improvements of several well-known deterministic stability results in a stochastic version.

/pdf/convergence-and-summable-almost-t-stability-of-the-random-2galkl42e1.pdf

Convergence and summable almost T-stability of the random Picard-Mann hybrid iterative process

The aim of this paper is to introduce the concept of generalized ϕ-weakly contraction random operators and then to prove the convergence and almost sure T-stability of Mann and Ishikawa-type random iterative schemes. We also prove that a random fixed point of such operators is Bochner integrable. Our results generalize, extend and improve various results in the existing literature including the results in Berinde (Bul. Stiinţ. - Univ. Baia Mare, Ser. B Fasc. Mat.-Inform. 18(1):7-14, 2002), Olatinwo (J. Adv. Math. Stud. 1(1):5-14, 2008), Rhoades (Trans. Am. Math. Soc. 196:161-176, 1974; Indian J. Pure Appl. Math. 21(1):1-9, 1990; Indian J. Pure Appl. Math. 24(11):691-703, 1993) and Zhang et al. (Appl. Math. Mech. 32(6):805-810, 2011).

/pdf/convergence-and-almost-sure-t-stability-for-a-random-4ln7q1oe8k.pdf

Convergence and almost sure T-stability for a random iterative sequence generated by a generalized random operator

The purpose of this study is to introduce a Noor-type random iterative scheme
and prove the convergence of this kind of random iterative scheme for certain �-weakly con-
tractive type random operators. The Bochner integrability of random fixed points for this kind
of random operators and the almost sure T -stability and convergence for Noor-type random
iterative scheme are established. Our results are stochastic generalizations of the deterministic
fixed point theorems of Berinde [7, 8] and Rhoades [29]-[32].

/pdf/convergence-and-almost-sure-t-stability-for-random-noor-type-57y39uwyws.pdf

Convergence and almost sure $t$-stability for random noor-type iterative scheme

Let ( , ,µ) be a complete probability measure space, E be a real separable Banach space, K a nonempty closed convex subset of E. Let T : ◊K ! K, such that {Ti} N=1, be N-uniformly Li-Lipschitzian asymptoti- cally hemicontractive random maps of K with F = N \ i=1 F(Ti) 6 ;. We construct

/pdf/approximation-of-common-random-fixed-points-of-finite-2fke162fvi.pdf

APPROXIMATION OF COMMON RANDOM FIXED POINTS OF FINITE FAMILIES OF N-UNIFORMLY Li-LIPSCHITZIAN ASYMPTOTICALLY HEMICONTRACTIVE RANDOM MAPS IN BANACH SPACES.

Handle everyday research tasks with reliable, citation-backed results

Your personal Research Agent to handle research tasks with citation-backed results

Popular Tasks used by Researchers

How can I help with your research?

Meet SciSpace

Get more enhanced response by uploading the PDFs you want me to reference.

No relevant PDFs in your library

SciSpace is the AI research assistant for academics. Run systematic literature reviews on 280M+ papers, and write papers with cited sources. Trusted by 1M+ students, PhDs & researchers.

SciSpace | AI for Research

Analyze PDFs

Code & Manuscripts

Funding & Grants

Literature & Patents

Medical & Clinical Data

Systematic Review

Visualize & Present

Web & Data

Build a Google Scholar-like website for your research.

Build a website

Create charts and images for your research

Create a Chart

Write a paper for submission to a journal

Draft a manuscript

Patent Search

Design eye-catching scientific posters in minutes.

Scientific Poster Generation

Systematic Literature Review

One task is running at the moment. Your messages will be shown right after.

Drag and drop or click here to browse

Loved by <highlight>1 million+</highlight> researchers

Extract a list of specific topics and their sources from unstructured text

Topics

Compare and analyze relevant papers that matches with your search

Papers

Get insights from PDFs and bookmarked papers from your library

My library

Recent searches

Try searching for:

Catch AI-generated content in scholarly and non-scholarly content

{ai} Detector

Ai Writer

Get PDF Summaries, highlighted text explanations 

Chat with PDF

Effortlessly create in-text citations and bibliographies in APA and 2,500 other formats

Citation generator

Get explanations, summaries, and answers on academic papers

Ease up your research workflow with {scispace}'s cohort of exciting AI tools

Elevate your academic writing skills and convey your ideas the way you want

Paraphraser

Explore our range of reading and writing tools

Your file is being prepared and should be ready in a few minutes. If it's a large file, it might take a bit longer. You can close this window, and we'll email you the file when it's done.

You have reached a maximum limit of <strong>{limit}</strong> columns in the table. Remove at least <strong>1</strong> column to add or create another one.

Chika Moore

Author Tools

Chat about Author

Papers

APPROXIMATION OF COMMON RANDOM FIXED POINTS OF FINITE FAMILIES OF N-UNIFORMLY Li-LIPSCHITZIAN ASYMPTOTICALLY HEMICONTRACTIVE RANDOM MAPS IN BANACH SPACES.