Stability results for fixed point sets of α∗ − ψ contractive multivalued mappings

Binayak S. Choudhury; Chaitali Bandyopadhyay; Rajendra Pant

doi:10.2298/FIL1712665C

Stability results for fixed point sets of α_∗ − ψ contractive multivalued mappings

Binayak S. Choudhury
, Chaitali Bandyopadhyay
, Rajendra Pant

Bengal Engineering and Science University
Visvesvaraya National Institute of Technology
University of KwaZulu-Natal

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

2 Citations (Scopus)

Abstract

In this paper, we established a stability result for fixed point sets associated with a sequence of multivalued mappings which belong to class of functions obtained by a multivalued extension of certain generalized contraction mapping. Certain other aspects of these mappings are already studied in the existing literatures. We also construct an illustrative example.

Original language	English
Pages (from-to)	3665-3670
Number of pages	6
Journal	Filomat
Volume	31
Issue number	12
DOIs	https://doi.org/10.2298/FIL1712665C
Publication status	Published - 2017
Externally published	Yes

Keywords

Contractive multivalued mappings
Fixed point set
Stability

ASJC Scopus subject areas

General Mathematics

Access to Document

10.2298/FIL1712665C

Cite this

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title = "Stability results for fixed point sets of α∗ − ψ contractive multivalued mappings",

abstract = "In this paper, we established a stability result for fixed point sets associated with a sequence of multivalued mappings which belong to class of functions obtained by a multivalued extension of certain generalized contraction mapping. Certain other aspects of these mappings are already studied in the existing literatures. We also construct an illustrative example.",

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AU - Choudhury, Binayak S.

AU - Bandyopadhyay, Chaitali

AU - Pant, Rajendra

PY - 2017

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AB - In this paper, we established a stability result for fixed point sets associated with a sequence of multivalued mappings which belong to class of functions obtained by a multivalued extension of certain generalized contraction mapping. Certain other aspects of these mappings are already studied in the existing literatures. We also construct an illustrative example.

KW - Contractive multivalued mappings

KW - Fixed point set

KW - Stability

UR - https://www.scopus.com/pages/publications/85029923687

U2 - 10.2298/FIL1712665C

DO - 10.2298/FIL1712665C

M3 - Article

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SP - 3665

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JO - Filomat

JF - Filomat

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