Abstract
In this work, we first introduce almost contraction mappings for a pair of two mappings in cone metric spaces over Banach algebras (CMSBA). Then, we observe that the class of such mappings in this setting contains those of many well known mappings. Finally, we prove some fixed point theorems, and obtain $(S,T)$-stability results of Jungck iterations for some mappings in CMSBA.
Keywords
Contraction principle
Mathematics
Metric space
Cone (formal languages)
Contraction (grammar)
Banach space
Pure mathematics
Fixed point
Fixed-point theorem
Class (philosophy)
Discrete mathematics
Mathematical analysis
Computer science
Algorithm
Subject Areas
Fixed Point Theorems Analysis
·Geometry and Topology ·Physical Sciences
Citations by Year
2024: 1
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