Existence of Common Fixed Point for b-Metric Rational Type Contraction

Existence of Common Fixed Point for b-Metric Rational Type Contraction

The necessary conditions for existence of a common fixed point of two mappings satisfying generalized b-order contractive condition in the setting of a partially ordered b-complete b-metric space are presented. Also, we study well-posedness of common fixed point problem for generalized b-order contr...

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Veröffentlicht in:Filomat 2016-01, Vol.30 (6), p.1413-1429
Hauptverfasser: Abbas, Mujahid, Chema, Imran Zulfiqar, Razani, Abdolrahman
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Diagonal lemma
Partially ordered sets
Real numbers
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Zusammenfassung:The necessary conditions for existence of a common fixed point of two mappings satisfying generalized b-order contractive condition in the setting of a partially ordered b-complete b-metric space are presented. Also, we study well-posedness of common fixed point problem for generalized b-order contractive mappings. We employ our result to establish an existence of a solution of an integral equation.
ISSN:0354-5180
2406-0933