Coincidence and common fixed points of hybrid contractions

M. S. Khan, Y. J. Cho, W. T. Park, T. Mumtaz

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this paper, we show the existence of solutions of functional equations fix Є Sx⊓ Tx and x = fix Є Sx ⊓ Tx under certain nonlinear hybrid contraction and asymptotic regularity conditions, generalize and improve a recent result due to Kaneko concerning common fixed points of multivalued mappings weakly commuting with a single-valued mapping and satisfying a generalized contraction type. Some related results are also obtained.

Original languageEnglish
Pages (from-to)369-385
Number of pages17
JournalJournal of the Australian Mathematical Society
Volume55
Issue number3
DOIs
Publication statusPublished - 1993

Fingerprint

Coincidence
Common Fixed Point
Contraction
Generalized Contraction
Multivalued Mapping
Single valued
Regularity Conditions
Functional equation
Existence of Solutions
Generalise

Keywords

  • Coincidence and common fixed points
  • Hausdorff metric
  • orbital cornplete
  • proximinal subsets and weakly commuting mappings

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Coincidence and common fixed points of hybrid contractions. / Khan, M. S.; Cho, Y. J.; Park, W. T.; Mumtaz, T.

In: Journal of the Australian Mathematical Society, Vol. 55, No. 3, 1993, p. 369-385.

Research output: Contribution to journalArticle

Khan, M. S. ; Cho, Y. J. ; Park, W. T. ; Mumtaz, T. / Coincidence and common fixed points of hybrid contractions. In: Journal of the Australian Mathematical Society. 1993 ; Vol. 55, No. 3. pp. 369-385.
@article{0d3c26d77ae84d09b112fa264102e1da,
title = "Coincidence and common fixed points of hybrid contractions",
abstract = "In this paper, we show the existence of solutions of functional equations fix Є Sx⊓ Tx and x = fix Є Sx ⊓ Tx under certain nonlinear hybrid contraction and asymptotic regularity conditions, generalize and improve a recent result due to Kaneko concerning common fixed points of multivalued mappings weakly commuting with a single-valued mapping and satisfying a generalized contraction type. Some related results are also obtained.",
keywords = "Coincidence and common fixed points, Hausdorff metric, orbital cornplete, proximinal subsets and weakly commuting mappings",
author = "Khan, {M. S.} and Cho, {Y. J.} and Park, {W. T.} and T. Mumtaz",
year = "1993",
doi = "10.1017/S1446788700034108",
language = "English",
volume = "55",
pages = "369--385",
journal = "Journal of the Australian Mathematical Society",
issn = "1446-7887",
publisher = "Cambridge University Press",
number = "3",

}

TY - JOUR

T1 - Coincidence and common fixed points of hybrid contractions

AU - Khan, M. S.

AU - Cho, Y. J.

AU - Park, W. T.

AU - Mumtaz, T.

PY - 1993

Y1 - 1993

N2 - In this paper, we show the existence of solutions of functional equations fix Є Sx⊓ Tx and x = fix Є Sx ⊓ Tx under certain nonlinear hybrid contraction and asymptotic regularity conditions, generalize and improve a recent result due to Kaneko concerning common fixed points of multivalued mappings weakly commuting with a single-valued mapping and satisfying a generalized contraction type. Some related results are also obtained.

AB - In this paper, we show the existence of solutions of functional equations fix Є Sx⊓ Tx and x = fix Є Sx ⊓ Tx under certain nonlinear hybrid contraction and asymptotic regularity conditions, generalize and improve a recent result due to Kaneko concerning common fixed points of multivalued mappings weakly commuting with a single-valued mapping and satisfying a generalized contraction type. Some related results are also obtained.

KW - Coincidence and common fixed points

KW - Hausdorff metric

KW - orbital cornplete

KW - proximinal subsets and weakly commuting mappings

UR - http://www.scopus.com/inward/record.url?scp=84974291908&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84974291908&partnerID=8YFLogxK

U2 - 10.1017/S1446788700034108

DO - 10.1017/S1446788700034108

M3 - Article

VL - 55

SP - 369

EP - 385

JO - Journal of the Australian Mathematical Society

JF - Journal of the Australian Mathematical Society

SN - 1446-7887

IS - 3

ER -