Further generalization of fixed point theorems in Menger PM-spaces

Calogero Vetro; Marwan Amin Kutbi; Wutiphol Sintunavarat; Dhananjay Gopal

Further generalization of fixed point theorems in Menger PM-spaces

Calogero Vetro, Marwan Amin Kutbi, Wutiphol Sintunavarat, Dhananjay Gopal

Matematica e Informatica

Risultato della ricerca: Article › peer review

11 Citazioni (Scopus)

Abstract

In this work, we establish some fixed point theorems by revisiting the notion of ψ-contractive mapping in Menger PM-spaces. One of our results (namely, Theorem 2.3) may be viewed as a possible answer to the problem of existence of a fixed point for generalized type contractive mappings in M-complete Menger PM-spaces under arbitrary t-norm. Some examples are furnished to demonstrate the validity of the obtained results.

Lingua originale	English
pagine (da-a)	1-10
Numero di pagine	0
Rivista	Fixed Point Theory and Applications
Volume	2015
Stato di pubblicazione	Published - 2015

All Science Journal Classification (ASJC) codes

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AU - Kutbi, Marwan Amin

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AU - Gopal, Dhananjay

PY - 2015

Y1 - 2015

N2 - In this work, we establish some fixed point theorems by revisiting the notion of ψ-contractive mapping in Menger PM-spaces. One of our results (namely, Theorem 2.3) may be viewed as a possible answer to the problem of existence of a fixed point for generalized type contractive mappings in M-complete Menger PM-spaces under arbitrary t-norm. Some examples are furnished to demonstrate the validity of the obtained results.

AB - In this work, we establish some fixed point theorems by revisiting the notion of ψ-contractive mapping in Menger PM-spaces. One of our results (namely, Theorem 2.3) may be viewed as a possible answer to the problem of existence of a fixed point for generalized type contractive mappings in M-complete Menger PM-spaces under arbitrary t-norm. Some examples are furnished to demonstrate the validity of the obtained results.

KW - Menger PM-spaces

KW - fixed point

KW - ψ-contractive mapping

KW - Menger PM-spaces

KW - fixed point

KW - ψ-contractive mapping

UR - http://hdl.handle.net/10447/123272

UR - http://www.springerlink.com/content/1687-1812/

M3 - Article

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JO - Fixed Point Theory and Algorithms for Sciences and Engineering

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ER -

Further generalization of fixed point theorems in Menger PM-spaces

Abstract

All Science Journal Classification (ASJC) codes

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