In the sequel, we shall denote the single-valued normalized duality map by j. Let F (T ) = {x ∈ E : Tx = x} denote the set of all fixed point for a mapping T . We write xn ⇀ x (respectively xn ∗ ⇀ x) to indicate that the sequence xn weakly (respectively weak∗) converges to x; as usual xn → x will symbolize strong convergence. A mapping A : D(A) ⊂ E → 2 is called to be accretive if for all x, y ...

Abstract In this article, we obtain some fixed-point results involving α -admissibility for multivalued F -contractions in the framework of partial $\mathfrak{b}$ b -metric spaces. Appropriate illustrations are provided to support main results. Finally, an application is developed by demonstrating existence a...

Integral of a certain multivalued form over cycle ∆ provides zonal spherical function of type An. This paper is devoted to quantum group analysis and verification of monodromy properties of the distinguished cycle ∆. Zonal spherical function is a particular conformal block of WAn-algebra 0.0 Notations. α1, α2, . . . , αn simple roots of root system of type An R+ set of positive roots R root sys...

We study the existence of mild solutions for a class of impulsive fractional partial neutral stochastic integro-differential inclusions with statedependent delay. We assume that the undelayed part generates a solution operator and transform it into an integral equation. Sufficient conditions for the existence of solutions are derived by using the nonlinear alternative of Leray-Schauder type for...