Fixed point theorem for weakly contractive mapping on generalized soft metric spaces

A. S. Saluja; M. S. Khan; Devkrishna Magarde; Pankaj Kumar Jhade

doi:10.12988/ijma.2014.47205

Fixed point theorem for weakly contractive mapping on generalized soft metric spaces

A. S. Saluja, M. S. Khan, Devkrishna Magarde, Pankaj Kumar Jhade

Mathematics & Statistics

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

Abstract

In the light of generalized metric space given by Mustafa and Sims [19], and soft set given by D. Molodtsov [20], we introduce the notion of generalized soft metric spaces as a generalization of soft metric space. Furthermore we prove some fixed point theorems for Φ -weak contractive mappings in the setting of generalization of soft metric spaces.

Original language	English
Pages (from-to)	2809-2825
Number of pages	17
Journal	International Journal of Mathematical Analysis
Volume	8
Issue number	57-60
DOIs	https://doi.org/10.12988/ijma.2014.47205
Publication status	Published - 2014

Keywords

Cauchy sequence
Fixed point
Generalized soft metric space
Soft set

ASJC Scopus subject areas

Mathematics(all)

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10.12988/ijma.2014.47205

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title = "Fixed point theorem for weakly contractive mapping on generalized soft metric spaces",

abstract = "In the light of generalized metric space given by Mustafa and Sims [19], and soft set given by D. Molodtsov [20], we introduce the notion of generalized soft metric spaces as a generalization of soft metric space. Furthermore we prove some fixed point theorems for Φ -weak contractive mappings in the setting of generalization of soft metric spaces.",

keywords = "Cauchy sequence, Fixed point, Generalized soft metric space, Soft set",

author = "Saluja, {A. S.} and Khan, {M. S.} and Devkrishna Magarde and Jhade, {Pankaj Kumar}",

note = "Publisher Copyright: {\textcopyright} 2014 A. S. Saluja, M. S. Khan, Devkrishna Magarde and Pankaj Kumar Jhade.",

year = "2014",

doi = "10.12988/ijma.2014.47205",

language = "English",

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T1 - Fixed point theorem for weakly contractive mapping on generalized soft metric spaces

AU - Saluja, A. S.

AU - Khan, M. S.

AU - Magarde, Devkrishna

AU - Jhade, Pankaj Kumar

PY - 2014

Y1 - 2014

N2 - In the light of generalized metric space given by Mustafa and Sims [19], and soft set given by D. Molodtsov [20], we introduce the notion of generalized soft metric spaces as a generalization of soft metric space. Furthermore we prove some fixed point theorems for Φ -weak contractive mappings in the setting of generalization of soft metric spaces.

AB - In the light of generalized metric space given by Mustafa and Sims [19], and soft set given by D. Molodtsov [20], we introduce the notion of generalized soft metric spaces as a generalization of soft metric space. Furthermore we prove some fixed point theorems for Φ -weak contractive mappings in the setting of generalization of soft metric spaces.

KW - Cauchy sequence

KW - Fixed point

KW - Generalized soft metric space

KW - Soft set

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JO - International Journal of Mathematical Analysis

JF - International Journal of Mathematical Analysis

IS - 57-60

ER -

Fixed point theorem for weakly contractive mapping on generalized soft metric spaces

Abstract

Keywords

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