[C] A. Selberg, Harmonic analysis and discon-tinuous groups in weakly symmetric Rieman-nian spaces with applications to Dirichlet series ,

[C] A. Selberg, Harmonic analysis and discon-tinuous groups in weakly symmetric Rieman-nian spaces with applications to Dirichlet series ,

[C] A. Selberg, Harmonic analysis and discon-tinuous groups in weakly symmetric Rieman-nian spaces with applications to Dirichlet series ,

In this work, we present the notion of a weakly symmetric function. We show that subset all elements an arbitrary vector space functions is itself. Moreover, some algebra algebra. Also consider on complex Banach $L_p[0,1]$ Lebesgue measurable complex-valued $[0,1]$ for which $p$th power absolute value integrable. every continuous linear functional $L_p[0,1],$ where $p\in (1,+\infty),$ can be ap...

It is shown, using the Borwein–Preiss variational principle that for every continuous convex function f on a weakly compactly generated space X, every x0 ∈ X and every weakly compact convex symmetric set K such that spanK = X, there is a point of Gâteaux differentiability of f in x0 +K. This extends a Klee’s result for separable spaces. The well-known Mazur’s theorem says that a continuous conv...

Banach contraction principle is a fundamental result in fixed point theory and has been applied and extended in many different directions. In 2002, Branciari [3] obtained a fixed point theorem for a single mapping satisfying an analogue of Banach’s contraction principle for an integral type inequality. Aliouche [2] established a common fixed point theorem for weakly compatible mappings in symme...

in this paper, we prove some common fi xed point results for two self mappingsf and g on s-metric space such that f is a g.w.c.m with respect to g.

In this paper, we prove the existence and uniqueness of a common fixed point in symmetric generalized intuitionistic fuzzy metric spaces using property (E.A.) or CLRg property. We introduce new notion for pair mappings (f, g) on space called weakly commuting type (Jf ) R-weakly ).