Approximating Fixed Points of a General Class of Nonexpansive Mappings in Banach Spaces with Applications

Rameshwar Pandey; Rajendra Pant; Vladimir Rakočević; Rahul Shukla

doi:10.1007/s00025-018-0930-6

Approximating Fixed Points of a General Class of Nonexpansive Mappings in Banach Spaces with Applications

Rameshwar Pandey, Rajendra Pant, Vladimir Rakočević, Rahul Shukla

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

45 Citations (Scopus)

Abstract

In this paper, we present some fixed point results for a general class of nonexpansive mappings which are not necessarily continuous on their domains. We show that this class properly contains many other classes of nonexpansive type mappings. Some illustrative examples have been presented and various prominent iteration processes have been compared for different choices of parameters and initial guesses. We also present an application of our results to nonlinear integral equations.

Original language	English
Article number	7
Journal	Results in Mathematics
Volume	74
Issue number	1
DOIs	https://doi.org/10.1007/s00025-018-0930-6
Publication status	Published - 1 Mar 2019
Externally published	Yes

Keywords

Nonexpansive mappings
condition (E)
iteration process
opial property

ASJC Scopus subject areas

Mathematics (miscellaneous)
Applied Mathematics

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10.1007/s00025-018-0930-6

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abstract = "In this paper, we present some fixed point results for a general class of nonexpansive mappings which are not necessarily continuous on their domains. We show that this class properly contains many other classes of nonexpansive type mappings. Some illustrative examples have been presented and various prominent iteration processes have been compared for different choices of parameters and initial guesses. We also present an application of our results to nonlinear integral equations.",

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N2 - In this paper, we present some fixed point results for a general class of nonexpansive mappings which are not necessarily continuous on their domains. We show that this class properly contains many other classes of nonexpansive type mappings. Some illustrative examples have been presented and various prominent iteration processes have been compared for different choices of parameters and initial guesses. We also present an application of our results to nonlinear integral equations.

AB - In this paper, we present some fixed point results for a general class of nonexpansive mappings which are not necessarily continuous on their domains. We show that this class properly contains many other classes of nonexpansive type mappings. Some illustrative examples have been presented and various prominent iteration processes have been compared for different choices of parameters and initial guesses. We also present an application of our results to nonlinear integral equations.

KW - Nonexpansive mappings

KW - condition (E)

KW - iteration process

KW - opial property

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Approximating Fixed Points of a General Class of Nonexpansive Mappings in Banach Spaces with Applications

Abstract

Keywords

ASJC Scopus subject areas

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