6533b830fe1ef96bd129712b
RESEARCH PRODUCT
Some Integral Type Fixed-Point Theorems and an Application to Systems of Functional Equations
Sunny ChauhanHassen AydiWasfi ShatanawiCalogero Vetrosubject
Discrete mathematicsSubsequential limitSubcompatible mappingPure mathematicsCompatible mappingGeneral MathematicsReciprocal continuityFixed-point theoremFixed pointFixed pointMetric spaceSettore MAT/05 - Analisi MatematicaSubsequential continuityMetric spaceCoincidence pointCommon fixed point theoremReciprocalMathematicsdescription
In this paper, we prove a new common fixed point theorem for four self mappings by using the notions of compatibility and subsequential continuity (alternate subcompatibility and reciprocal continuity) in metric spaces satisfying a general contractive condition of integral type. We give some examples to support the useability of our main result. Also, we obtain some fixed point theorems of Gregus type for four mappings satisfying a strict general contractive condition of integral type in metric spaces. We conclude the paper with an application of our main result to solvability of systems of functional equations.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-08-23 | Vietnam Journal of Mathematics |