Some new fixed point results for nonexpansive type mappings in banach and hilbert spaces

Rajendra Pant; Rahul Shukla

Some new fixed point results for nonexpansive type mappings in banach and hilbert spaces

Rajendra Pant, Rahul Shukla

University of Johannesburg

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

In this paper, we present some existence results for asymptotically regular generalized nonexpansive type operators on non- uniformly convex Banach spaces. We prove certain convergence results for a perturbed Mann algorithm. Some illustrative examples and numerical computations show the usefulness of these results. Finally, we give an application of our results to nonlinear integral equations.

Original language	English
Pages (from-to)	1-20
Number of pages	20
Journal	Indian Journal of Mathematics
Volume	62
Issue number	1
Publication status	Published - 2020
Externally published	Yes

Keywords

Asymptotic regularity
Generalized a-nonexpansive operator
Nonexpansive operator
Opial property

ASJC Scopus subject areas

General Mathematics

Cite this

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title = "Some new fixed point results for nonexpansive type mappings in banach and hilbert spaces",

abstract = "In this paper, we present some existence results for asymptotically regular generalized nonexpansive type operators on non- uniformly convex Banach spaces. We prove certain convergence results for a perturbed Mann algorithm. Some illustrative examples and numerical computations show the usefulness of these results. Finally, we give an application of our results to nonlinear integral equations.",

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AU - Pant, Rajendra

AU - Shukla, Rahul

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N2 - In this paper, we present some existence results for asymptotically regular generalized nonexpansive type operators on non- uniformly convex Banach spaces. We prove certain convergence results for a perturbed Mann algorithm. Some illustrative examples and numerical computations show the usefulness of these results. Finally, we give an application of our results to nonlinear integral equations.

AB - In this paper, we present some existence results for asymptotically regular generalized nonexpansive type operators on non- uniformly convex Banach spaces. We prove certain convergence results for a perturbed Mann algorithm. Some illustrative examples and numerical computations show the usefulness of these results. Finally, we give an application of our results to nonlinear integral equations.

KW - Asymptotic regularity

KW - Generalized a-nonexpansive operator

KW - Nonexpansive operator

KW - Opial property

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M3 - Article

AN - SCOPUS:85096647816

SN - 0019-5324

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JO - Indian Journal of Mathematics

JF - Indian Journal of Mathematics

IS - 1

ER -

Some new fixed point results for nonexpansive type mappings in banach and hilbert spaces

Abstract

Keywords

ASJC Scopus subject areas

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