Best Proximity Point Theorems for Cyclic Relatively ρ-Nonexpansive Mappings in Modular Spaces

Joint Authors

Chaira, Karim
Lazaiz, Samih

Source

Abstract and Applied Analysis

Issue

Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2018-10-02

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

In this paper we introduce the notion of proximal ρ-normal structure of pair of ρ-admissible sets in modular spaces.

We prove some results of best proximity points in this setting without recourse to Zorn’s lemma.

We provide some examples to support our conclusions.

American Psychological Association (APA)

Chaira, Karim& Lazaiz, Samih. 2018. Best Proximity Point Theorems for Cyclic Relatively ρ-Nonexpansive Mappings in Modular Spaces. Abstract and Applied Analysis،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1114299

Modern Language Association (MLA)

Chaira, Karim& Lazaiz, Samih. Best Proximity Point Theorems for Cyclic Relatively ρ-Nonexpansive Mappings in Modular Spaces. Abstract and Applied Analysis No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1114299

American Medical Association (AMA)

Chaira, Karim& Lazaiz, Samih. Best Proximity Point Theorems for Cyclic Relatively ρ-Nonexpansive Mappings in Modular Spaces. Abstract and Applied Analysis. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1114299

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1114299