Nonlinear contraction theorems in probabilistic spaces

Donal O'Regan

doi:10.1016/j.amc.2007.04.070

Nonlinear contraction theorems in probabilistic spaces

Donal O'Regan

Mathematics

Islamic Azad university Tehran North Branch
University of Shomal
Amirkabir University of Technology

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

76 Citations (Scopus)

Abstract

In this paper first we prove a common fixed point theorem in Menger probabilistic metric spaces. Then we present a nonlinear contraction case of Jungcks common fixed point theorem in Menger probabilistic metric spaces. Finally, we prove a common fixed point theorem for six self-maps in a Menger probabilistic metric space. (c) 2007 Elsevier Inc. All rights reserved.

Original language	English (Ireland)
Pages (from-to)	86-93
Number of pages	8
Journal	Applied Mathematics And Computation
Volume	195
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2007.04.070
Publication status	Published - 1 Jan 2008

Keywords

Completeness
Fixed point theorem
Nonlinear contraction
Probabilistic metric spaces

Authors (Note for portal: view the doc link for the full list of authors)

Authors
O'Regan, D,Saadati, R

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10.1016/j.amc.2007.04.070

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AB - In this paper first we prove a common fixed point theorem in Menger probabilistic metric spaces. Then we present a nonlinear contraction case of Jungcks common fixed point theorem in Menger probabilistic metric spaces. Finally, we prove a common fixed point theorem for six self-maps in a Menger probabilistic metric space. (c) 2007 Elsevier Inc. All rights reserved.

KW - Completeness

KW - Fixed point theorem

KW - Nonlinear contraction

KW - Probabilistic metric spaces

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JO - Applied Mathematics And Computation

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IS - 1

ER -

Nonlinear contraction theorems in probabilistic spaces

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

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