Common fixed point theorems for expansion mappings in various abstract spaces using the concept of weak reciprocal continuity

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Publication Details

Author list: Manro S., Kumam P.

Publisher: SpringerOpen

Publication year: 2012

Journal: Fixed Point Theory and Applications (1687-1820)

Volume number: 2012

ISSN: 1687-1820

eISSN: 1687-1812

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84873448705&doi=10.1186%2f1687-1812-2012-221&partnerID=40&md5=0263e9b41352c10fe54048258ba91f1d

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we prove expansion mapping theorems using the concept of compatible maps, weakly reciprocal continuity, R-weakly commuting mappings, R-weakly commuting of type (Af), (Ag) and (P) in metric spaces and in G-metric spaces. ฉ 2012 Manro and Kumam; licensee Springer.

Keywords

Compatible maps, G-metric spaces, Metric spaces, R-weakly commuting mappings, Weakly reciprocal continuity