Completeness Problem via Fixed Point Theory

Rizwan Anjum; Mujahid Abbas; Hüseyin Işık

doi:10.1007/s11785-023-01385-1

Completeness Problem via Fixed Point Theory

Rizwan Anjum, Mujahid Abbas, Hüseyin Işık^*

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

The purpose of this paper is to present the notion of MR-Kannan type contractions using the generalized averaged operator. Several examples are provided to illustrate the concept presented herein. We provide a characterisation of normed spaces using MR-Kannan type contractions with a fixed point. We investigate the Ulam–Hyers stability and well-posedness result for the mappings presented here.

Original language	English
Article number	85
Journal	Complex Analysis and Operator Theory
Volume	17
Issue number	6
DOIs	https://doi.org/10.1007/s11785-023-01385-1
Publication status	Published - Sept 2023
Externally published	Yes

Keywords

Average mapping
Fixed point
Kannan contractions
Ulam–Hyers stability
Well-posedness

Access to Document

10.1007/s11785-023-01385-1

Cite this

@article{2a118cf30eac4a8dbbb3b8358e669d24,

title = "Completeness Problem via Fixed Point Theory",

abstract = "The purpose of this paper is to present the notion of MR-Kannan type contractions using the generalized averaged operator. Several examples are provided to illustrate the concept presented herein. We provide a characterisation of normed spaces using MR-Kannan type contractions with a fixed point. We investigate the Ulam–Hyers stability and well-posedness result for the mappings presented here.",

keywords = "Average mapping, Fixed point, Kannan contractions, Ulam–Hyers stability, Well-posedness",

author = "Rizwan Anjum and Mujahid Abbas and H{\"u}seyin I{\c s}ık",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s).",

year = "2023",

month = sep,

doi = "10.1007/s11785-023-01385-1",

language = "English",

volume = "17",

journal = "Complex Analysis and Operator Theory",

issn = "1661-8254",

publisher = "Birkhauser Verlag Basel",

number = "6",

}

TY - JOUR

T1 - Completeness Problem via Fixed Point Theory

AU - Anjum, Rizwan

AU - Abbas, Mujahid

AU - Işık, Hüseyin

PY - 2023/9

Y1 - 2023/9

N2 - The purpose of this paper is to present the notion of MR-Kannan type contractions using the generalized averaged operator. Several examples are provided to illustrate the concept presented herein. We provide a characterisation of normed spaces using MR-Kannan type contractions with a fixed point. We investigate the Ulam–Hyers stability and well-posedness result for the mappings presented here.

AB - The purpose of this paper is to present the notion of MR-Kannan type contractions using the generalized averaged operator. Several examples are provided to illustrate the concept presented herein. We provide a characterisation of normed spaces using MR-Kannan type contractions with a fixed point. We investigate the Ulam–Hyers stability and well-posedness result for the mappings presented here.

KW - Average mapping

KW - Fixed point

KW - Kannan contractions

KW - Ulam–Hyers stability

KW - Well-posedness

UR - http://www.scopus.com/inward/record.url?scp=85175107794&partnerID=8YFLogxK

U2 - 10.1007/s11785-023-01385-1

DO - 10.1007/s11785-023-01385-1

M3 - Article

AN - SCOPUS:85175107794

SN - 1661-8254

VL - 17

JO - Complex Analysis and Operator Theory

JF - Complex Analysis and Operator Theory

IS - 6

M1 - 85

ER -

Completeness Problem via Fixed Point Theory

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this