A kind of generalized convex set, called as local star-shaped E-invex set with respect to η, is presented, and some of its important characterizations are derived. Based on this concept, a new class of functions, named as semilocal E-preinvex functions, which is a generalization of semi-Epreinvex functions and semilocal E-convex functions, is introduced. Simultaneously, some of its basic proper...

in this paper, we present some common fixed point theorems for two generalized nonexpansive multivalued mappings in cat(0) spaces as well as in uced banach spaces. moreover, we prove the existence of fixed points for generalized nonexpansive multivalued mappings in complete geodesic metric spaces with convex metric for which the asymptotic center of a bounded sequence in a bounded closed convex...

The theory of convex and nonconvex mapping has a lot applications in the field applied mathematics engineering. Riemann integrals are most significant operator interval theory, which permits generalization classical integrals. This study considers well-known coordinated interval-valued Hermite–Hadamard-type associated inequalities. To full fill this mileage, we use introduced left right preinve...