Point-valued mappings of sets

Fixed Point of $T_{F}$ − contractive Single-valued Mappings

In this paper, we study the existence of fixed points for mappings defined on complete metric space (X, d) satisfying a general contractive inequality depended on another function. This conditions is analogous of Banach conditions and general contraction condition of integral type.

Common fixed point theorem for nonexpansive type single valued mappings

The aim of this paper is to prove a common fixed point theorem for nonexpansive type single valued mappings which include both continuous and discontinuous mappings by relaxing the condition of continuity by weak reciprocally continuous mapping. Our result is generalize and extends the corresponding result of Jhade et al. [P.K. Jhade, A.S. Saluja and R. Kushwah, Coincidence and fixed points of ...

Fixed Point Theorems for Set-valued Mappings

Fixed Point Theorems for Two Classes of Multi-valued Mappings

In this paper two fixed point theorems for two classes of multivalued contractive type mappings are established. The results presented in this paper improve and generalize some results in literatures. AMS Subject Classification: 54H25, 47H10

Characterization of weak fixed point property for new class of set-valued nonexpansive mappings

In this paper, we introduce a new class of set-valued mappings which is called MD-type mappings. This class of mappings is a set-valued case of a class of the D-type mappings. The class of D-type mappings is a generalization of nonexpansive mappings that recently introduced by Kaewkhao and Sokhuma. The class of MD-type mappings includes upper semi-continuous Suzuki type mappings, upper semi-con...