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- Title
FIXED POINT THEOREMS FOR NON-SELF MAPPINGS WITH NONLINEAR CONTRACTIVE CONDITION IN STRICTLY CONVEX MENGER PM-SPACES.
- Authors
NIKOLIĆ, RALE M.; JEŠIĆ, SINIŠA N.; BABAČEV, NATAŠSA A.
- Abstract
In this paper, existence and uniqueness of a fixed point for non-self mappings with nonlinear contractive condition in the sense of Fang [On φ-contractions in probabilistic and fuzzy metric spaces. Fuzzy Set Syst. (267) 2015, 86-99] will be proved, using the notion of strictly convex structure introduced by Ješić et al. [Ješić, S.N, Nikolić, R.M., Babačev N.A., A Common Fixed Point Theorem in Strictly Convex Menger PM-spaces, Filomat (28)(4) 2014, 735{743] for Menger PM-spaces. 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].
- Subjects
FIXED point theory; MATHEMATICAL mappings; CONTRACTIONS (Topology)
- Publication
Fixed Point Theory, 2017, Vol 18, Issue 1, p315
- ISSN
1583-5022
- Publication type
Article
- DOI
10.24193/fpt-ro.2017.1.25