Proximal point algorithms involving fixed point of nonspreading-type multivalued mappings in Hilbert spaces

Proximal Point Algorithms for Numerical Reckoning Fixed Points of Hybrid-type Multivalued Mappings in Hilbert Spaces

In this paper, we propose a new iteration process to approximate minimizers of proper convex and lower semi-continuous functions and fixed points of λ-hybrid multivalued mappings in Hilbert spaces. We also provide an example to illustrate the convergence behavior of the proposed iteration process and numerically compare the convergence of the proposed iteration scheme with the existing schemes.

Equilibrium problems and fixed point problems for nonspreading-type mappings in hilbert space

In this paper by using the idea of mean convergence, weintroduce an iterative scheme for finding a common element of theset of solutions of an equilibrium problem and the fixed points setof a nonspreading-type mappings in Hilbert space. A strongconvergence theorem of the proposed iterative scheme is establishedunder some control conditions. The main result of this paper extendthe results obtain...

Proximal point algorithms involving fixed points of nonexpansive mappings in CAT(0)$\operatorname{CAT}(0)$ spaces

Common fixed point of multivalued graph contraction in metric spaces

In this paper, we introduce the (G-$psi$) contraction in a metric space by using a graph. Let $F,T$ be two multivalued mappings on $X.$ Among other things, we obtain a common fixed point of the mappings $F,T$ in the metric space $X$ endowed with a graph $G.$

Fixed-Point Theorems for Multivalued Mappings in Modular Metric Spaces

and Applied Analysis 3 iv A subsetC ofXω is said to be closed if the limit of a convergent sequence ofC always belongs to C. v A subset C of Xω is said to be bounded if, for all λ > 0, φλ C sup{ωλ x, y : x, y ∈ C} < ∞. Along this paper, we will use the following alternative notions of convergence and Cauchyness, which are equivalent to the notions given above. Let Xω be a modular metric space a...