On (α, p)-convex contraction and asymptotic regularity

Mohammad Khan; Y. Mahendra Singh; Georgeta Maniu; Mihai Postolache

doi:10.22436/jmcs.018.02.01

On (α, p)-convex contraction and asymptotic regularity

Mohammad Khan, Y. Mahendra Singh, Georgeta Maniu, Mihai Postolache^*

^*Corresponding author for this work

Mathematics & Statistics

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

7 Citations (Scopus)

Abstract

In this paper, we present the notions of (α, p)-convex contraction (resp. (α, p)-contraction) and asymptotically T ² -regular (resp. (T, T ² )-regular) sequences, and prove fixed point theorems in the setting of metric spaces.

Original language	English
Pages (from-to)	132-145
Number of pages	14
Journal	Journal of Mathematics and Computer Science
Volume	18
Issue number	2
DOIs	https://doi.org/10.22436/jmcs.018.02.01
Publication status	Published - 2018

Keywords

(α P)-convex contraction
Approximate fixed point
Asymptotically regular sequence
Asymptotically T (resp T and (T T ))-regular sequences
Fixed point

ASJC Scopus subject areas

Mathematics(all)
Computational Mathematics
Computer Science Applications
Computational Mechanics

Access to Document

10.22436/jmcs.018.02.01

Cite this

@article{be895c86303e4a7aba0b46721c002953,

title = "On (α, p)-convex contraction and asymptotic regularity",

abstract = " In this paper, we present the notions of (α, p)-convex contraction (resp. (α, p)-contraction) and asymptotically T 2 -regular (resp. (T, T 2 )-regular) sequences, and prove fixed point theorems in the setting of metric spaces. ",

keywords = "(α P)-convex contraction, Approximate fixed point, Asymptotically regular sequence, Asymptotically T (resp T and (T T ))-regular sequences, Fixed point",

author = "Mohammad Khan and Singh, {Y. Mahendra} and Georgeta Maniu and Mihai Postolache",

year = "2018",

doi = "10.22436/jmcs.018.02.01",

language = "English",

volume = "18",

pages = "132--145",

journal = "Journal of Mathematics and Computer Science",

issn = "2008-949X",

publisher = "International Scientific Research Publications",

number = "2",

}

TY - JOUR

T1 - On (α, p)-convex contraction and asymptotic regularity

AU - Khan, Mohammad

AU - Singh, Y. Mahendra

AU - Maniu, Georgeta

AU - Postolache, Mihai

PY - 2018

Y1 - 2018

N2 - In this paper, we present the notions of (α, p)-convex contraction (resp. (α, p)-contraction) and asymptotically T 2 -regular (resp. (T, T 2 )-regular) sequences, and prove fixed point theorems in the setting of metric spaces.

AB - In this paper, we present the notions of (α, p)-convex contraction (resp. (α, p)-contraction) and asymptotically T 2 -regular (resp. (T, T 2 )-regular) sequences, and prove fixed point theorems in the setting of metric spaces.

KW - (α P)-convex contraction

KW - Approximate fixed point

KW - Asymptotically regular sequence

KW - Asymptotically T (resp T and (T T ))-regular sequences

KW - Fixed point

UR - http://www.scopus.com/inward/record.url?scp=85048828999&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85048828999&partnerID=8YFLogxK

U2 - 10.22436/jmcs.018.02.01

DO - 10.22436/jmcs.018.02.01

M3 - Article

AN - SCOPUS:85048828999

SN - 2008-949X

VL - 18

SP - 132

EP - 145

JO - Journal of Mathematics and Computer Science

JF - Journal of Mathematics and Computer Science

IS - 2

ER -

On (α, p)-convex contraction and asymptotic regularity

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this