Some generalizations for mixed multivalued mappings

On Some Generalizations of Commuting Mappings

and Applied Analysis 3 that w fw gw, that is, w is a common fixed point for f, g . If z is any common fixed point for f, g (i.e., fz gz z , then, again by the uniqueness of POC, it must be z w. The following result is due to Ðorić et al. [21]. It shows that the results of Jungck and Rhoades are not generalizations of results obtained from Lemma 2.1. Proposition 2.3 (see [21]). Let a pair of map...

Some Sufficient Conditions for Fixed Points of Multivalued Nonexpansive Mappings

We show some sufficient conditions on a Banach space X concerning the generalized James constant, the generalized Jordan-von Neumann constant, the generalized Zbagănu constant, the coefficient ε̃0 X , the weakly convergent sequence coefficientWCS X , and the coefficient of weak orthogonality, which imply the existence of fixed points for multivalued nonexpansive mappings. These fixed point theor...

Multivalued Possibilities Mappings

Abstraction mappings are one of the major tools used to construct correctness proofs for concurrent algorithms. Several examples are given of situations in which it is useful to allow the abstraction mappings to be muttivalued. The examples involve algorithm optimization, algorithm distribution, and proofs of time bounds.

Some Fixed Point Theorems for Weakly Compatible Multivalued Mappings Satisfying Some General Contractive Conditions of Integral Type

On best proximity points for multivalued cyclic $F$-contraction mappings

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.