Coincidence and common fixed points of hybrid contractions

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

doi:10.1017/S1446788700034108

Coincidence and common fixed points of hybrid contractions

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

Mathematics & Statistics

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

6 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 language	English
Pages (from-to)	369-385
Number of pages	17
Journal	Journal of the Australian Mathematical Society
Volume	55
Issue number	3
DOIs	https://doi.org/10.1017/S1446788700034108
Publication status	Published - 1993

Keywords

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

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1017/S1446788700034108

Cite this

@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

AN - SCOPUS:84974291908

SN - 1446-7887

VL - 55

SP - 369

EP - 385

JO - Journal of the Australian Mathematical Society

JF - Journal of the Australian Mathematical Society

IS - 3

ER -

Coincidence and common fixed points of hybrid contractions

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this