Quasicontraction mappings in modular spaces without -condition.
Khamsi, M.A. (2008)
Fixed Point Theory and Applications [electronic only]
Similarity:
Khamsi, M.A. (2008)
Fixed Point Theory and Applications [electronic only]
Similarity:
Abdolrahman Razani, Valdimir Rakočević, Zahraa Goodarzi (2010)
Open Mathematics
Similarity:
The aim of this paper, is to introduce the convex structure (specially, Takahashi convex structure) on modular spaces. Moreover, we are interested in proving some common fixed point theorems for non-self mappings in modular space.
Carlo Bardaro, Antonio Boccuto, Xenofon Dimitriou, Ilaria Mantellini (2013)
Open Mathematics
Similarity:
We prove some versions of abstract Korovkin-type theorems in modular function spaces, with respect to filter convergence for linear positive operators, by considering several kinds of test functions. We give some results with respect to an axiomatic convergence, including almost convergence. An extension to non positive operators is also studied. Finally, we give some examples and applications to moment and bivariate Kantorovich-type operators, showing that our results are proper extensions...
Benavides, T.Domínguez, Gavira, B. (2010)
Fixed Point Theory and Applications [electronic only]
Similarity:
D. Choi (2006)
Acta Arithmetica
Similarity:
Hidegoro Nakano (1968)
Studia Mathematica
Similarity:
Carlo Bardaro, Ilaria Mantellini (2006)
Mathematica Slovaca
Similarity:
Kutbi, Marwan A., Latif, Abdul (2009)
Fixed Point Theory and Applications [electronic only]
Similarity:
Besser, Amnon (1997)
Documenta Mathematica
Similarity:
Hans Herda (1968)
Studia Mathematica
Similarity:
(2013)
Acta Arithmetica
Similarity:
The classical modular equations involve bivariate polynomials that can be seen to be univariate in the modular invariant j with integer coefficients. Kiepert found modular equations relating some η-quotients and the Weber functions γ₂ and γ₃. In the present work, we extend this idea to double η-quotients and characterize all the parameters leading to this kind of equation. We give some properties of these equations, explain how to compute them and give numerical examples.