Font Size:
Fixed point theorems for non-self mappings with nonlinear contractive condition in strictly convex Menger PM-spaces
Last modified: 2014-01-15
Abstract
In this paper we will define a notions of strictly convex and normal structure in Menger PM-space. Also, existence of a fixed point for non-self mappings with nonlinear contractive condition defined on strictly convex Menger PM-spaces will be proved. As a consequence of main result we will give probabilistic generalization of Assad and Kirk's result [Assad, N.A., Kirk, W.A., Fixed-point theorems for set-valued mappings of contractive type. Pacific J. Math. (43) 1972, 553–-562.]
Keywords
Menger PM-spaces; Strictly convex structure; Fixed point; Non-self mappings.