Contractive definitions and discontinuity at fixed point

Ravindra K. Bisht; R. P. Pant

doi:10.4995/agt.2017.6713

Contractive definitions and discontinuity at fixed point

Ravindra K. Bisht, R. P. Pant

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

22 Citations (Scopus)

Abstract

In this paper, we investigate some contractive definitions which are strong enough to generate a fixed point but do not force the mapping to be continuous at the fixed point. We also obtain a fixed point theorem for generalized nonexpansive mappings in metric spaces by employing Meir-Keeler type conditions.

Original language	English
Pages (from-to)	173-182
Number of pages	10
Journal	Applied General Topology
Volume	18
Issue number	1
DOIs	https://doi.org/10.4995/agt.2017.6713
Publication status	Published - 2017
Externally published	Yes

Keywords

(ɛ−δ) contractions
Fixed point
Orbital continuity
Power contraction

ASJC Scopus subject areas

Geometry and Topology

Access to Document

10.4995/agt.2017.6713

Cite this

@article{ac59a28b31fe41f99f36463a4fd1aaa2,

title = "Contractive definitions and discontinuity at fixed point",

abstract = "In this paper, we investigate some contractive definitions which are strong enough to generate a fixed point but do not force the mapping to be continuous at the fixed point. We also obtain a fixed point theorem for generalized nonexpansive mappings in metric spaces by employing Meir-Keeler type conditions.",

keywords = "(ɛ−δ) contractions, Fixed point, Orbital continuity, Power contraction",

author = "Bisht, {Ravindra K.} and Pant, {R. P.}",

note = "Publisher Copyright: {\textcopyright} AGT, UPV, 2017.",

year = "2017",

doi = "10.4995/agt.2017.6713",

language = "English",

volume = "18",

pages = "173--182",

journal = "Applied General Topology",

issn = "1576-9402",

publisher = "Universidad Politecnica de Valencia",

number = "1",

}

TY - JOUR

T1 - Contractive definitions and discontinuity at fixed point

AU - Bisht, Ravindra K.

AU - Pant, R. P.

N1 - Publisher Copyright: © AGT, UPV, 2017.

PY - 2017

Y1 - 2017

N2 - In this paper, we investigate some contractive definitions which are strong enough to generate a fixed point but do not force the mapping to be continuous at the fixed point. We also obtain a fixed point theorem for generalized nonexpansive mappings in metric spaces by employing Meir-Keeler type conditions.

AB - In this paper, we investigate some contractive definitions which are strong enough to generate a fixed point but do not force the mapping to be continuous at the fixed point. We also obtain a fixed point theorem for generalized nonexpansive mappings in metric spaces by employing Meir-Keeler type conditions.

KW - (ɛ−δ) contractions

KW - Fixed point

KW - Orbital continuity

KW - Power contraction

UR - http://www.scopus.com/inward/record.url?scp=85016962658&partnerID=8YFLogxK

U2 - 10.4995/agt.2017.6713

DO - 10.4995/agt.2017.6713

M3 - Article

AN - SCOPUS:85016962658

SN - 1576-9402

VL - 18

SP - 173

EP - 182

JO - Applied General Topology

JF - Applied General Topology

IS - 1

ER -

Contractive definitions and discontinuity at fixed point

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this