ONE STEP ITERATION SCHEME FOR MULTIVALUED MAPPINGS IN CAT(0) SPACES

Subject Functional analysis
Title ONE STEP ITERATION SCHEME FOR MULTIVALUED MAPPINGS IN CAT(0) SPACES
Author(s) IZHAR UDDIN, JUAN J. NIETO AND JAVID ALI
Keywords CAT(0) space, Fixed point, Δ-convergence and Opial’s property.
Abstract In this paper, we introduce one step iteration scheme involving two multivalued nonexpansive mappings in CAT(0) spaces and utilize the same to prove Δ-convergence as well as strong convergence theorems with and without end point conditions. Our results generalize and extend several relevant results in the literature.