6533b821fe1ef96bd127afe8

RESEARCH PRODUCT

Fixed-Point Theorems in Complete Gauge Spaces and Applications to Second-Order Nonlinear Initial-Value Problems

Bessem SametMeryam CherichiCalogero Vetro

subject

Discrete mathematicsPure mathematicsArticle Subjectlcsh:MathematicsFixed-point theoremGauge (firearms)Space (mathematics)lcsh:QA1-939Nonlinear systemSettore MAT/05 - Analisi MatematicaInitial value problemOrder (group theory)UniquenessCoincidence pointfixed point gauge spaces initial-value problemAnalysisMathematics

description

We establish fixed-point results for mappings and cyclic mappings satisfying a generalized contractive condition in a complete gauge space. Our theorems generalize and extend some fixed-point results in the literature. We apply our obtained results to the study of existence and uniqueness of solution to a second-order nonlinear initial-value problem.

yearjournalcountryeditionlanguage
2013-01-01
10.1155/2013/293101http://hdl.handle.net/10447/88203