5 papers
Perimetric Contractions and Their Iterates in Complete -Metric Spaces
Mujahid Abbas, Alemayehu G. Negash, Meaza F. Bogale
In this paper, the structural and operator-theoretic properties of contracting perimeters of triangles mapping (CPTM) within the generalized topological framework of complete -m…
Common Fixed Points via Rational -Contractive Conditions in Orbitally Complete Metric Spaces
Babu G. V. R., Alemayehu Negash, Sandhya M. L. +1
We establish common fixed point theorems for two pairs of weakly compatible self-mappings using an auxiliary function of two variables. Unlike classical results, our theorems do no…
Common Fixed Points for Weakly Compatible Mappings via Bivariate Auxiliary Functions
Babu G. V. R., Alemayehu Negash, Meaza Bogale
We establish common fixed point theorems for two pairs of weakly compatible self-mappings using an auxiliary function of two variables. Unlike classical results, our theorems do no…
Common Fixed Points of Cq-Commuting Maps via Generalized Gregus-Type Inequalities
Babu G. V. R., Alemayehu Negash, Meaza Bogale
We establish the existence of common fixed points for -commuting self-mappings satisfying a generalized Gregus-type inequality with quadratic terms in -starshaped subsets o…
Weakly Compatible Mappings and Common Fixed Points Under Generalized Contractive Conditions
Alemayehu Negash, Meaza Bogale
This paper establishes new common fixed point theorems for weakly compatible mappings in metric spaces, relaxing traditional requirements such as continuity, compatibility, and rec…