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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2012 / Cilt: 41 - Sayı: 4

Fixed point theorems for R-weakly commuting mappings on normed vector spaces

Brian FISHER
Neeraj Anant PANDE
Sampada NAVSHINDE
J. ACHARI
Sayfa
467–476
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The off-shoot corollaries of the main result obtained here happen to be special cases which cover many results discovered by different authors.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Common fixed points of R-weakly commuting mappings on a normed vector space are obtained.
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Temel Bulgular & Veri:This fixed point is guaranteed under a gen- eralized and natural contraction condition and the convergence of a cer- tain inductively defined sequence of points in the normed vector space.
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Sonuç & Katkı:The off-shoot corollaries of the main result obtained here happen to be special cases which cover many results discovered by different authors.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

Common fixed points of R-weakly commuting mappings on a normed vector space are obtained. This fixed point is guaranteed under a gen- eralized and natural contraction condition and the convergence of a cer- tain inductively defined sequence of points in the normed vector space. The uniqueness of this common fixed point is also a notable feature. The off-shoot corollaries of the main result obtained here happen to be special cases which cover many results discovered by different authors.

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Bu Makaleye Atıf Yap

FISHER, B., PANDE, N. A., NAVSHINDE, S., ACHARI, J. (2022). Fixed point theorems for R-weakly commuting mappings on normed vector spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 41 - Sayı: 4, 467–476. https://ajindex.com/articles/530531

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Kaynakça (6)

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  3. Bhakta, P.C. and Mitra, S. Some existence theorems for functional equations arising in dynamic programming, J. Math. Anal. Appl. 98, 348–362, 1984
  4. Pande, N.A. and Achari, J. Fixed point theorems for commuting mappings with applications, Internat. J. Math. Sci. & Eng. Appl. 3 (IV), 115–137, 2009
  5. Pant, R.P. Common fixed points of noncommuting mappings, J. Math. Anal. Appl. 188, 438–440, 1994
  6. Pathak, H.K. and Fisher, B. Common fixed point theorems with applications in dynamic programming, Glasnik Matematicki 31 (51), 321–328, 1996.