Fixed Point Theory and Applications · 2013 · 16 citations · 11 references
Natural SciencesMathematicsNumber TheoryFixed Point TheoryFixed PointsModular FormsExistence Of Fixed PointsFredholm Integral EquationsSpaces Of Modular Forms
In this paper, we present a Pata-type fixed point theorem in modular spaces which generalizes and improves some old results. As an application, we study the existence of solutions of integral equations in modular function spaces. MSC: 47H10, 46A80, 45G10.
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Julian Musielak, W. Orlicz · Studia Mathematica · 1959 · 331 citations · Full text
Fixed point theory in modular function spaces
Mohamed A. Khamsi, Simeon Reich · Nonlinear Analysis · 1990 · 177 citations
A CONVEXITY PROPERTY IN MODULAR FUNCTION SPACES
Asmaa Mohamed · Mathematica japonica · 1996 · 45 citations