Coupled coincidence and coupled common fixed point theorem in dislocated quasi metric space

The objective of this paper is to establish a theorem involving a pair of weakly compatible mappings fulfilling a contractive condition of rational type in the context of dislocated quasi metric space. Besides we proved the existence and uniqueness of coupled coincidence and coupled common fixed poi...

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Bibliographic Details
Published inEngineering and Applied Science Letters Vol. 3; no. 4; pp. 11 - 18
Main Authors Damene, Mitiku, Koyas, Kidane, Gebregiorgis, Solomon
Format Journal Article
LanguageEnglish
Published 31.12.2020
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Summary:The objective of this paper is to establish a theorem involving a pair of weakly compatible mappings fulfilling a contractive condition of rational type in the context of dislocated quasi metric space. Besides we proved the existence and uniqueness of coupled coincidence and coupled common fixed point for such mappings. This work offers extension as well as considerable improvement of some results in the existing literature. Lastly, an illustrative example is given to validate our newly proved results.
ISSN:2617-9695
2617-9709
DOI:10.30538/psrp-easl2020.0047