Common fixed points for pairs of mappings with variable contractive parameters
J.R. Morales, E.M. Rojas
TL;DR
This paper introduces new fixed point theorems for pairs of contraction mappings with variable contractive functions, expanding the theoretical framework for such mappings under specific commutative conditions.
Contribution
It presents novel fixed point results for pairs of mappings with variable contractive parameters, incorporating commutative properties, which broadens existing fixed point theory.
Findings
Established new common fixed point theorems for variable contractive mappings
Extended fixed point results to mappings with commutative properties
Provided theoretical conditions for convergence of such mappings
Abstract
In this paper, we establish some common fixed point results for a new class of pair of contractions mappings having functions as contractive parameters, and satisfying certain commutative properties.
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