Some remarks on generalized Kirk's process in Banach spaces and application
In this work, we establish a common fixed point result for mappings satisfying a controllable punctual inequality and we study the convergence (resp. weak convergence) of the generalized Kirk's process associated with them. In addition, our results are applied to investigate the convergence (resp. weak convergence) of Kuhfittig's iterative process to the solution of a nonlinear system of functional equations.
Keywords:
Uniformly convex Banach space, strictly convex Banach space, convex subset, common fixed point, generalized Kirk's process, convergence, weak convergence, demiclosed mapping Kuhfittig's iterative process,
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
Sayıdaki Diğer Makaleler
Fortune MASSAMBA, Mohamed H. A. HAMED, Samuel SSEKAJJA
On the distance formulae in the generalized taxicab geometry
Some remarks on generalized Kirk’s process in Banach spaces and application
Multiplication alteration by two-cocycles for bialgebras with weak antipode
Jose Nicanor ALONSO ALVAREZ, Jose Manuel FERNANDEZ VILABOA, Ramon GONZALEZ RODRIGUEZ
On image summand coinvariant modules and kernel summand invariant modules
Derya KESKİN TÜTÜNCÜ, Yosuke KURATOMI, Yoshiharu SHIBATA
Companion sequences associated to the r -Fibonacci sequence: algebraic and combinatorial properties
Hacene BELBACHIR, Sadjia ABBAD, Benali BENZAGHOU
On expansions of prime and 2-absorbing hyperideals in multiplicative hyperrings