Brian FISHER, Neeraj Anant PANDE, Sampada NAVSHINDE, J. ACHARI

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

Yayın Aralığı: Yılda 6 Sayı
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

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.

PDF

___

[1] Baskaran, B. and Subrahmanyam, P.V. A note on the solution of functional equations, Applicable Anal. 22, 235–241, 1986.
[2] Bellman, R. and Lee, E. S. Functional equations arising in dynamic programming, Aequa- tiones Math. 17, 1–18, 1978.
[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.