Mathematical Conferences Niš, Serbia, 13th Serbian Mathematical Congress

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Fixed point theorems for non-self mappings with nonlinear contractive condition in strictly convex Menger PM-spaces
Rale M. Nikolić, Siniša N. Ješić, Nataša A. Babačev, Dragan Ž. Djurčić

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.