Fixed points of relaxed (Ψ,φ)-weakly N-contraction mappings in modular spaces

The purpose of this paper is to study the existence and approximation of a common fixed point of a pair of mappings satisfying a relaxed (?,?)-weakly N-contractive condition and existence and approximation of a fixed point of a relaxed (?,?)-weakly N-contraction mapping in the setting of modular spa...

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Veröffentlicht in:Filomat 2020, Vol.34 (5), p.1659-1676
Hauptverfasser: Wega, Getahun, Zegeye, Habtu, Boikanyo, Oganeditse
Format: Artikel
Sprache:eng
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Zusammenfassung:The purpose of this paper is to study the existence and approximation of a common fixed point of a pair of mappings satisfying a relaxed (?,?)-weakly N-contractive condition and existence and approximation of a fixed point of a relaxed (?,?)-weakly N-contraction mapping in the setting of modular spaces. Our theorems improve and generalize the results in Mongkolkeha and Kumam [23] and ?zt?rk et. al [26]. To validate our results numerical examples are provided.
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL2005659W