Stationary points of set-valued contractive and nonexpansive mappings on ultrametric spaces

Meraj Hosseini; Kourosh Nourouzi; Donal O’Regan

doi:10.24193/fpt-ro.2018.2.46

Stationary points of set-valued contractive and nonexpansive mappings on ultrametric spaces

Meraj Hosseini, Kourosh Nourouzi, Donal O’Regan

Mathematics

K. N. Toosi University of Technology

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

9 Citations (Scopus)

Abstract

In this paper we show that contractive set-valued mappings on spherically complete ultrametric spaces have stationary (or end) points if they have the approximate stationary point property. We also extend some known fixed point results to nonexpansive set-valued mappings.

Original language	English
Pages (from-to)	587-594
Number of pages	8
Journal	Fixed Point Theory
Volume	19
Issue number	2
DOIs	https://doi.org/10.24193/fpt-ro.2018.2.46
Publication status	Published - 2018

Keywords

Approximate stationary point property
Fixed point
Stationary point
Ultrametric spaces

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10.24193/fpt-ro.2018.2.46

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title = "Stationary points of set-valued contractive and nonexpansive mappings on ultrametric spaces",

abstract = "In this paper we show that contractive set-valued mappings on spherically complete ultrametric spaces have stationary (or end) points if they have the approximate stationary point property. We also extend some known fixed point results to nonexpansive set-valued mappings.",

keywords = "Approximate stationary point property, Fixed point, Stationary point, Ultrametric spaces",

author = "Meraj Hosseini and Kourosh Nourouzi and Donal O{\textquoteright}Regan",

year = "2018",

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AU - Hosseini, Meraj

AU - Nourouzi, Kourosh

AU - O’Regan, Donal

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Y1 - 2018

N2 - In this paper we show that contractive set-valued mappings on spherically complete ultrametric spaces have stationary (or end) points if they have the approximate stationary point property. We also extend some known fixed point results to nonexpansive set-valued mappings.

AB - In this paper we show that contractive set-valued mappings on spherically complete ultrametric spaces have stationary (or end) points if they have the approximate stationary point property. We also extend some known fixed point results to nonexpansive set-valued mappings.

KW - Approximate stationary point property

KW - Fixed point

KW - Stationary point

KW - Ultrametric spaces

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U2 - 10.24193/fpt-ro.2018.2.46

DO - 10.24193/fpt-ro.2018.2.46

M3 - Article

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VL - 19

SP - 587

EP - 594

JO - Fixed Point Theory

JF - Fixed Point Theory

IS - 2

ER -

Stationary points of set-valued contractive and nonexpansive mappings on ultrametric spaces

Abstract

Keywords

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