Fixed point theorems on generalized $$\alpha$$-nonexpansive multivalued mappings

Convergence Analysis of Picard Thakur Hybrid Iterative Scheme for α-Nonexpansive Mappings in Uniformly Convex Banach Spaces

“…Proposition 2.3. [22] Let G : M → M be a Generalized α-nonexpansive mapping. Then the following holds.…”

A New Iterative Scheme for Approximating Fixed Points of Suzuki Generalized Multivalued Nonexpansive Mappings

“…They called these mappings generalized multivalued nonexpansive mappings in the sense of Suzuki or multivalued mappings satisfying the condition (𝐶). Some another generalizations for multivalued mappings are available in literature ( [3], [18]). Sadhu and et al [18] introduced a new class of nonexpansive multivalued mappings, called generalized 𝛼-nonexpansive mappings, which properly contains the class of Suzuki-type mapping.…”

“…Some another generalizations for multivalued mappings are available in literature ( [3], [18]). Sadhu and et al [18] introduced a new class of nonexpansive multivalued mappings, called generalized 𝛼-nonexpansive mappings, which properly contains the class of Suzuki-type mapping.…”