On the fixed point theory of soft metric spaces

Mujahid Abbas; Ghulam Murtaza; Salvador Romaguera

doi:10.1186/s13663-016-0502-y

On the fixed point theory of soft metric spaces

Mujahid Abbas
, Ghulam Murtaza
, Salvador Romaguera

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

25 Citations (Scopus)

Abstract

The aim of this paper is to show that a soft metric induces a compatible metric on the collection of all soft points of the absolute soft set, when the set of parameters is a finite set. We then show that soft metric extensions of several important fixed point theorems for metric spaces can be directly deduced from comparable existing results. We also present some examples to validate and illustrate our approach.

Original language	English
Article number	17
Pages (from-to)	1-11
Number of pages	11
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2016
Issue number	1
DOIs	https://doi.org/10.1186/s13663-016-0502-y
Publication status	Published - 1 Dec 2016
Externally published	Yes

Keywords

soft Caristi mapping
soft contraction
soft mapping
soft metric space

ASJC Scopus subject areas

Geometry and Topology
Applied Mathematics

Access to Document

10.1186/s13663-016-0502-y

Cite this

@article{322fee54d8474377872718361afe59dc,

title = "On the fixed point theory of soft metric spaces",

abstract = "The aim of this paper is to show that a soft metric induces a compatible metric on the collection of all soft points of the absolute soft set, when the set of parameters is a finite set. We then show that soft metric extensions of several important fixed point theorems for metric spaces can be directly deduced from comparable existing results. We also present some examples to validate and illustrate our approach.",

keywords = "soft Caristi mapping, soft contraction, soft mapping, soft metric space",

author = "Mujahid Abbas and Ghulam Murtaza and Salvador Romaguera",

note = "Publisher Copyright: {\textcopyright} 2016, Abbas et al.",

year = "2016",

month = dec,

day = "1",

doi = "10.1186/s13663-016-0502-y",

language = "English",

volume = "2016",

pages = "1--11",

journal = "Fixed Point Theory and Algorithms for Sciences and Engineering",

issn = "1687-1820",

publisher = "SpringerOpen",

number = "1",

}

TY - JOUR

T1 - On the fixed point theory of soft metric spaces

AU - Abbas, Mujahid

AU - Murtaza, Ghulam

AU - Romaguera, Salvador

PY - 2016/12/1

Y1 - 2016/12/1

N2 - The aim of this paper is to show that a soft metric induces a compatible metric on the collection of all soft points of the absolute soft set, when the set of parameters is a finite set. We then show that soft metric extensions of several important fixed point theorems for metric spaces can be directly deduced from comparable existing results. We also present some examples to validate and illustrate our approach.

AB - The aim of this paper is to show that a soft metric induces a compatible metric on the collection of all soft points of the absolute soft set, when the set of parameters is a finite set. We then show that soft metric extensions of several important fixed point theorems for metric spaces can be directly deduced from comparable existing results. We also present some examples to validate and illustrate our approach.

KW - soft Caristi mapping

KW - soft contraction

KW - soft mapping

KW - soft metric space

UR - https://www.scopus.com/pages/publications/84956562437

U2 - 10.1186/s13663-016-0502-y

DO - 10.1186/s13663-016-0502-y

M3 - Article

AN - SCOPUS:84956562437

SN - 1687-1820

VL - 2016

SP - 1

EP - 11

JO - Fixed Point Theory and Algorithms for Sciences and Engineering

JF - Fixed Point Theory and Algorithms for Sciences and Engineering

IS - 1

M1 - 17

ER -

On the fixed point theory of soft metric spaces

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this