Generalized projection and approximation of fixed points of nonself maps

Coincidence and Fixed Points of Nonself Contractive Maps with Applications

We prove some coincidence and common fixed point theorems for nonself maps (not necessarily continuous) satisfying different contractive conditions on an arbitrary nonempty subset of a metric space. As applications, we demonstrate the existence of: (i) common fixed points of the maps from the set of best approximations, (ii) solutions to nonlinear eigenvalue problems. Our work sets analogues, u...

Strong convergence of approximation fixed points for nonexpansive nonself-mapping

Let C be a closed convex subset of a uniformly smooth Banach space E, and T : C → E a nonexpansive nonself-mapping satisfying the weakly inwardness condition such that F(T) = ∅, and f : C → C a fixed contractive mapping. For t ∈ (0,1), the implicit iterative sequence {xt} is defined by xt = P(t f (xt) + (1− t)Txt), the explicit iterative sequence {xn} is given by xn+1 = P(αn f (xn) + (1−αn)Txn)...

Common fixed points of four maps using generalized weak contractivity and well-posedness

In this paper, we introduce the concept of generalized -contractivityof a pair of maps w.r.t. another pair. We establish a common fixed point result fortwo pairs of self-mappings, when one of these pairs is generalized -contractionw.r.t. the other and study the well-posedness of their fixed point problem. Inparticular, our fixed point result extends the main result of a recent paper ofQingnian ...

Fixed Points of Generalized Contractive Maps

Recommended by Hichem Ben-El-Mechaiekh We prove some results on the existence of fixed points for multivalued generalized w-contractive maps not involving the extended Hausdorff metric. Consequently, several known fixed point results are either generalized or improved.

Common Fixed Points of Generalized Contractive Maps in Cone Metric Spaces