Triple fixed point theorems via α-series in partially ordered metric spaces

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Vats R. K., TAŞ K., Sihag V., Kumar A.

Journal of Inequalities and Applications, cilt.2014, sa.1, 2014 (SCI-Expanded, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 2014 Sayı: 1
• Basım Tarihi: 2014
• Doi Numarası: 10.1186/1029-242x-2014-176
• Dergi Adı: Journal of Inequalities and Applications
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Anahtar Kelimeler: Compatible mappings, Partially ordered metric space, Tripled coincidence point, Tripled fixed point, α-series
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Uşak Üniversitesi Adresli: Hayır

Özet

This manuscript has two aims: first we extend the definitions of compatibility and weakly reciprocally continuity, for a trivariate mapping F and a self-mapping g akin to a compatible mapping as introduced by Choudhary and Kundu (Nonlinear Anal. 73:2524-2531,2010) for a bivariate mapping F and a self-mapping g. Further, using these definitions we establish tripled coincidence and fixed point results by applying the new concept of an α-series for sequence of mappings, introduced by Sihag et al. (Quaest. Math. 37:1-6,2014), in the setting of partially ordered metric spaces. © 2014 Vats et al.; licensee Springer.