Two Results about Fixed Point of Multifunctions

two results about fixed point of multifunctions

Some approximate fixed point results for proximinal valued $beta$-contractive multifunctions

In this paper, we prove some approximate fixed point results for proximinal valued $beta$-contractive multifunctions on metric spaces. We show that our results generalize some old fixed point results in the literature.

Fixed Point Theory for Closed Multifunctions

In this paper some new fixed point theorems of Ky Fan, LeraySchauder and Furi-Pera type are presented for closed multifunctions. AMS Subject Classification. 47H10

Two Generic Results in Fixed Point Theory

We give two examples of the generic approach to fixed point theory. The first example is concerned with the asymptotic behavior of infinite products of nonexpansivemappings in Banach spaces and the second with the existence and stability of fixed points of continuous mappings in finite-dimensional Euclidean spaces.

Coincidence point and common fixed point results via scalarization function

The main purpose of this paper is to obtain sufficient conditions for existence of points of coincidence and common fixed points for three self mappings in $b$-metric spaces. Next, we obtain cone $b$-metric version of these results by using a scalarization function. Our results extend and generalize several well known comparable results in the existing literature.

Random Fixed Point Theorems for Measurable Multifunctions in Banach Spaces

In this paper we prove several random fixed point theorems for measurable closed and nonclosed valued multifunctions satisfying general continuity conditions. Our work extends and sharpens earlier results by Engl, Itoh and Reich. 1. Preliminaries and definitions. The study of random fixed points was initiated by the Prague school of probabilists in the fifties. Recently the interest on this sub...