Fixed Point Sets of Multivalued Contractions and Stability Analysis

Nikhilesh Metiya; Binayak S. Choudhury; Sunirmal Kundu

doi:10.33434/cams.454820

EN

Fixed Point Sets of Multivalued Contractions and Stability Analysis

Abstract

In this paper we derive a fixed point result for a multivalued generalized almost contraction which contains several rational terms through a six variables function and a four variables function. The space is assumed to satisfy some regularity conditions. In another part of the paper we establish stability results for fixed point sets of these contractions. The corresponding singlevalued case is also discussed. The results are obtained without any assumption of continuity. There are two illustrative examples.

Keywords

Hausdorff metric,Generalized almost contraction,Fixed point,Stability

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Nikhilesh Metiya
India

Binayak S. Choudhury ^*
India

Sunirmal Kundu This is me
India

Publication Date

December 24, 2018

Submission Date

August 21, 2018

Acceptance Date

November 1, 2018

Published in Issue

Year 2018 Volume: 1 Number: 2

DOI

https://doi.org/10.33434/cams.454820

IZ

https://izlik.org/JA73TN56BT

APA

Metiya, N., Choudhury, B. S., & Kundu, S. (2018). Fixed Point Sets of Multivalued Contractions and Stability Analysis. Communications in Advanced Mathematical Sciences, 1(2), 163-171. https://doi.org/10.33434/cams.454820

AMA

1.Metiya N, Choudhury BS, Kundu S. Fixed Point Sets of Multivalued Contractions and Stability Analysis. Communications in Advanced Mathematical Sciences. 2018;1(2):163-171. doi:10.33434/cams.454820

Chicago

Metiya, Nikhilesh, Binayak S. Choudhury, and Sunirmal Kundu. 2018. “Fixed Point Sets of Multivalued Contractions and Stability Analysis”. Communications in Advanced Mathematical Sciences 1 (2): 163-71. https://doi.org/10.33434/cams.454820.

EndNote

Metiya N, Choudhury BS, Kundu S (December 1, 2018) Fixed Point Sets of Multivalued Contractions and Stability Analysis. Communications in Advanced Mathematical Sciences 1 2 163–171.

IEEE

[1]N. Metiya, B. S. Choudhury, and S. Kundu, “Fixed Point Sets of Multivalued Contractions and Stability Analysis”, Communications in Advanced Mathematical Sciences, vol. 1, no. 2, pp. 163–171, Dec. 2018, doi: 10.33434/cams.454820.

ISNAD

Metiya, Nikhilesh - Choudhury, Binayak S. - Kundu, Sunirmal. “Fixed Point Sets of Multivalued Contractions and Stability Analysis”. Communications in Advanced Mathematical Sciences 1/2 (December 1, 2018): 163-171. https://doi.org/10.33434/cams.454820.

JAMA

1.Metiya N, Choudhury BS, Kundu S. Fixed Point Sets of Multivalued Contractions and Stability Analysis. Communications in Advanced Mathematical Sciences. 2018;1:163–171.

MLA

Metiya, Nikhilesh, et al. “Fixed Point Sets of Multivalued Contractions and Stability Analysis”. Communications in Advanced Mathematical Sciences, vol. 1, no. 2, Dec. 2018, pp. 163-71, doi:10.33434/cams.454820.

Vancouver

1.Nikhilesh Metiya, Binayak S. Choudhury, Sunirmal Kundu. Fixed Point Sets of Multivalued Contractions and Stability Analysis. Communications in Advanced Mathematical Sciences. 2018 Dec. 1;1(2):163-71. doi:10.33434/cams.454820

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