6533b855fe1ef96bd12aff38

RESEARCH PRODUCT

Fixed point theorems for non-self mappings in symmetric spaces under φ-weak contractive conditions and an application to functional equations in dynamic programming

Calogero VetroSunny ChauhanMohammad ImdadZoran Kadelburg

subject

Discrete mathematicsPure mathematicsApplied Mathematics010102 general mathematicsFixed-point theoremcommon fixed pointweakly compatible mappingSymmetric space01 natural sciences010101 applied mathematicsDynamic programmingComputational MathematicsRange (mathematics)Settore MAT/05 - Analisi MatematicaSymmetric spacePairwise comparisonLimit (mathematics)Uniqueness0101 mathematicscommon limit range propertyCoincidence pointMathematics

description

In this paper, we prove some common fixed point theorems for two pairs of non-self weakly compatible mappings enjoying common limit range property, besides satisfying a generalized phi-weak contractive condition in symmetric spaces. We furnish some illustrative examples to highlight the realized improvements in our results over the corresponding relevant results of the existing literature. We extend our main result to four finite families of mappings in symmetric spaces using the notion of pairwise commuting mappings. Finally, we utilize our results to discuss the existence and uniqueness of solutions of certain system of functional equations arising in dynamic programming.

yearjournalcountryeditionlanguage
2014-01-01Applied Mathematics and Computation
https://doi.org/10.1016/j.amc.2013.11.014