Some nonlinear contraction theorems in L-fuzzy spaces

Donal O'Regan; Reza Saadati

Some nonlinear contraction theorems in L-fuzzy spaces

Donal O'Regan, Reza Saadati

Mathematics

Young Researchers and Elites Club, Science and Research Branch, Islamic Azad University

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

Abstract

In this paper first we prove a fixed point theorem in L-fuzzy metric spaces. Next we prove a common fixed point theorem in L-fuzzy metric spaces. Then we present the nonlinear contraction case of Jungck's common fixed point theorem in L-fuzzy metric spaces. Finally, we introduce the concept of L-fuzzy generalized distance on a L-fuzzy metric space and prove a fixed point theorem.

Original language	English
Pages (from-to)	319-339
Number of pages	21
Journal	Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Volume	18
Issue number	3
Publication status	Published - 2011

Keywords

Completeness
Fixed point theorem
L-fuzzy metric spaces
L-fuzzy normed spaces
Nonlinear contraction

Cite this

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abstract = "In this paper first we prove a fixed point theorem in L-fuzzy metric spaces. Next we prove a common fixed point theorem in L-fuzzy metric spaces. Then we present the nonlinear contraction case of Jungck's common fixed point theorem in L-fuzzy metric spaces. Finally, we introduce the concept of L-fuzzy generalized distance on a L-fuzzy metric space and prove a fixed point theorem.",

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AB - In this paper first we prove a fixed point theorem in L-fuzzy metric spaces. Next we prove a common fixed point theorem in L-fuzzy metric spaces. Then we present the nonlinear contraction case of Jungck's common fixed point theorem in L-fuzzy metric spaces. Finally, we introduce the concept of L-fuzzy generalized distance on a L-fuzzy metric space and prove a fixed point theorem.

KW - Completeness

KW - Fixed point theorem

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KW - L-fuzzy normed spaces

KW - Nonlinear contraction

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JO - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

JF - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

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ER -

Some nonlinear contraction theorems in L-fuzzy spaces

Abstract

Keywords

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