Sentence examples for mappings is proved from inspiring English sources

The duality theorem for two classes of strongly relatively nonexpansive mappings and of strongly generalized nonexpansive mappings is proved.

As a consequence, convergence result to a common minimum-norm fixed point of a finite family of nonexpansive mappings is proved.

In this paper, the existence of a best proximity point for relatively u-continuous mappings is proved in geodesic metric spaces.

Strong convergence theorem for finite families of generalized quasi-ϕ-asymptotically nonexpansive mappings is proved in a real uniformly convex and uniformly smooth Banach space using a new modified hybrid iterative algorithm.

By adapting Assad-Kirk's method the existence of a unique common fixed point for a pair of non-self mappings is proved, using only the assumption that the cone interior is nonempty.

In this paper, a new modified proximal point algorithm involving fixed point iterates of asymptotically nonexpansive mappings in (operatorname {CAT}(0)) spaces is proposed and the existence of a sequence generated by our iterative process converging to a minimizer of a convex function and a common fixed point of asymptotically nonexpansive mappings is proved.

Fixed point theorems for Perov-type α-quasi contraction mapping, Kannan-type contraction as well as Chatterjee-type contraction mappings are proved in a dislocated cone metric space over Banach algebra.

In addition, new results for cyclic mappings are proved.

Under suitable conditions some strong and weak convergence theorems for such mappings are proved.

Existence theorems for family of nonexpansive mappings are proved in [1 5] and actually many others.

Under suitable conditions, some strong convergence theorems for a family of nonexpansive mappings are proved.