Generalized distance and common fixed point theorems in menger probabilistic metric spaces

R. Saadati; D. O'Regan; S. M. Vaezpour; J. K. Kim

Generalized distance and common fixed point theorems in menger probabilistic metric spaces

R. Saadati
, D. O'Regan
, S. M. Vaezpour
, J. K. Kim

Mathematics

Amirkabir University of Technology
Kyungnam University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

20 Citations (Scopus)

Abstract

We introduce the concept of r-distance on a Menger probabilistic metric space. Furthermore we prove some fixed point theorems in a complete Menger probabilistic metric space generalizing some famous fixed point theorems.

Original language	English
Pages (from-to)	97-117
Number of pages	21
Journal	Bulletin of the Iranian Mathematical Society
Volume	35
Issue number	2
Publication status	Published - Nov 2009

Keywords

Complete probabilistic metric space
Fixed point theorem
Menger space
Nonlinear probabilistic contractive mapping

Cite this

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title = "Generalized distance and common fixed point theorems in menger probabilistic metric spaces",

abstract = "We introduce the concept of r-distance on a Menger probabilistic metric space. Furthermore we prove some fixed point theorems in a complete Menger probabilistic metric space generalizing some famous fixed point theorems.",

keywords = "Complete probabilistic metric space, Fixed point theorem, Menger space, Nonlinear probabilistic contractive mapping",

author = "R. Saadati and D. O'Regan and Vaezpour, \{S. M.\} and Kim, \{J. K.\}",

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AU - Saadati, R.

AU - O'Regan, D.

AU - Vaezpour, S. M.

AU - Kim, J. K.

PY - 2009/11

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N2 - We introduce the concept of r-distance on a Menger probabilistic metric space. Furthermore we prove some fixed point theorems in a complete Menger probabilistic metric space generalizing some famous fixed point theorems.

AB - We introduce the concept of r-distance on a Menger probabilistic metric space. Furthermore we prove some fixed point theorems in a complete Menger probabilistic metric space generalizing some famous fixed point theorems.

KW - Complete probabilistic metric space

KW - Fixed point theorem

KW - Menger space

KW - Nonlinear probabilistic contractive mapping

UR - https://www.scopus.com/pages/publications/75349094567

M3 - Article

SN - 1018-6301

VL - 35

SP - 97

EP - 117

JO - Bulletin of the Iranian Mathematical Society

JF - Bulletin of the Iranian Mathematical Society

IS - 2

ER -

Generalized distance and common fixed point theorems in menger probabilistic metric spaces

Abstract

Keywords

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