Abstract
The purpose of this paper is to prove that orbital continuity for a pair of self-mappings is a necessary and sufficient condition for the existence and uniqueness of a common fixed point for these mappings defined on Menger PM-spaces with a nonlinear contractive condition. The main results are obtained using the notion of R-weakly commutativity of type Af (or type Ag). These results generalize some known results.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference30 articles.
1. Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales
2. On nonlinear contractions
3. Generalized contractions and fixed-point theorems;Ćirić;Publ. Inst. Math.,1971
4. Common fixed points for asymptotically regular mappings;Shastri;Indian J. Pure Appl. Math.,1984
5. Commuting Mappings and Fixed Points
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