Let E be a real uniformly convex Banach space which admits a weakly sequentially continuous duality mapping from E to E∗, C a nonempty closed convex subset of E which is also a sunny nonexpansive retract of E, and T : C→ E a non-expansive nonself-mapping with F(T) = ∅. In this paper, we study the strong convergence of two sequences generated by xn+1 = αnx + (1− αn)(1/n+ 1) ∑n j=0(PT) xn and yn+...

We establish a maximin characterisation of the linear escape rate of the orbits of a non-expansive mapping on a complete (hemi-)metric space, under a mild form of Busemann’s non-positive curvature condition (we require a distinguished family of geodesics with a common origin to satisfy a convexity inequality). This characterisation, which involves horofunctions, generalises the Collatz-Wielandt...

In the recent work, a new hybrid technique for computing common solution of fixed point finite family two non-expansive mapping and variational inequality problem inverse strongly monotone in real Hilbert space is provided. We also demonstrate convergence approach using an example.

In this work, we introduce Fibonacci– Halpern iterative scheme ( FH scheme) in partial ordered Banach space (POB space) for monotone total asymptotically non-expansive mapping (, MTAN mapping) that defined on weakly compact convex subset. We also discuss the results of weak and strong convergence scheme.
 Throughout compactness condition m-th iterate some natural m is necessary to ensure c...

Subshifts are sets of configurations over an infinite grid defined by a set of forbidden patterns. In this thesis, we study two-dimensional subshifts of finite type (2D SFTs), where the underlying grid is Z and the set of forbidden patterns is finite. We are mainly interested in the interplay between the computational power of 2D SFTs and their geometry, examined through the concept of expansiv...