Common fixed point theorems for self-mappings in Menger PM-spaces with nonlinear contractive condition

Siniša N. Ješić; Rale M. Nikolić; R. P. Pant

doi:10.1007/s11784-018-0569-7

Common fixed point theorems for self-mappings in Menger PM-spaces with nonlinear contractive condition

Siniša N. Ješić, Rale M. Nikolić, R. P. Pant

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

The purpose of this paper is to prove some common fixed point theorems for a pair of self-mappings defined on Menger PM-spaces with nonlinear contractive condition in the sense of Fang (Fuzzy Set Syst 267:86–99, 2015). Following Pant and Pant (Filomat (31)(11):3495–3499, 2017), we define semi R-commutativity for a pair of self-mappings for Menger PM-spaces. Using this notion and the notion of orbital continuity introduced by Ćirić (Publ Inst Math (12)(26):19–26, 1971), we obtain the main results. These results generalize some known results. Some examples and comments according to the preceding results are given.

Original language	English
Article number	90
Journal	Journal of Fixed Point Theory and Applications
Volume	20
Issue number	2
DOIs	https://doi.org/10.1007/s11784-018-0569-7
Publication status	Published - 1 Jun 2018
Externally published	Yes

Keywords

Probabilistic metric spaces
common fixed point
nonlinear contractive condition
semi R-commuting mappings

ASJC Scopus subject areas

Modeling and Simulation
Geometry and Topology
Applied Mathematics

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10.1007/s11784-018-0569-7

Cite this

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abstract = "The purpose of this paper is to prove some common fixed point theorems for a pair of self-mappings defined on Menger PM-spaces with nonlinear contractive condition in the sense of Fang (Fuzzy Set Syst 267:86–99, 2015). Following Pant and Pant (Filomat (31)(11):3495–3499, 2017), we define semi R-commutativity for a pair of self-mappings for Menger PM-spaces. Using this notion and the notion of orbital continuity introduced by {\'C}iri{\'c} (Publ Inst Math (12)(26):19–26, 1971), we obtain the main results. These results generalize some known results. Some examples and comments according to the preceding results are given.",

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Common fixed point theorems for self-mappings in Menger PM-spaces with nonlinear contractive condition

Abstract

Keywords

ASJC Scopus subject areas

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