Article overview
Abstract
In this paper, we establish some nonunique fixed point results for the orbital relationally continuous self-mappings of orbital relationally complete metric space satisfying a more generalized contraction condition than given in the literature. Our nonunique fixed point results include some interesting similar results in an orbital partially complete metric space as the special cases. Our abstract results are also illustrated with the help of a couple of numerical examples.
Keywords and Phrases
Relational complete metric spaceRelational contraction mappingNonunique fixed point theoremSuccessive iteration method.
AMS Subject Classification
Primary 54H25; Secondary 47H10.
Reference information
How to Cite
J. B. Dhage, B. C. Dhage (2026). SOME RELATION THEORETIC NONUNIQUE FIXED POINT THEOREMS FOR CERTAIN CONTRACTION MAPPINGS IN A NON-COMPLETE METRIC SPACE. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 13(2), 63-76.