In this paper, we establish and prove the existence of best proximity points for multivalued cyclic $F$- contraction mappings in complete metric spaces. Our results improve and extend various results in literature.

polygroups are multivalued systems that satisfy group like axioms. in this paper the class of n-arypolygroups is introduced. the concepts of n-ary normal subpolygroups and strong homomorphisms of n-arypolygroups are adopted. with respect to these concepts the isomorphism theorems for n-ary polygroups arestated and proved. finally, we will consider the fundamental relation  * defined on an n-ar...

We prove an extension theorem for linear selectors of linear fuzzy multivalued operators.

The forbidden number $\mathrm{forb}(m,F)$, which denotes the maximum of unique columns in an $m$-rowed $(0,1)$-matrix with no submatrix that is a row and column permutation $F$, has been widely studied extremal set theory. Recently, this function was extended to $r$-matrices, whose entries lie $\{0,1,\dots,r-1\}$. combinatorics generalized less well-studied. In paper, we provide exact bounds fo...