The concept of partial metric which is a generalized metric space was introduced by Matthews 1 in 1994, inwhich the distance between two identical elements needs not be zero. The existence of fixed point for contraction-type mappings on such spaces was considered by many authors 1–12 . A modified version of a Banach contraction mapping principle, more suitable to solve certain problems arising ...

A systematic framework for analyzing dynamical attributes of games has not been well-studied except the special class potential or near-potential games. In particular, existing results have shortcomings in determining asymptotic behavior a given dynamics designated game. Although there is large body literature on developing convergent to Nash equilibrium (NE) game, general, an underlying may be...

In this paper, we define a new contractive mapping called fuzzy (φ,ψ)-contraction in fuzzy metric space and prove a fixed point theorem for this type of mapping. Finally, an example is given to illustrate the main result of this paper. Mathematics Subject Classification: 54E70; 47H25

Abstract In this research we introduce and study a new coupled system of three fractional differential equations supplemented with nonlocal multi-point boundary conditions. Existence uniqueness results are established by using the Leray–Schauder alternative Banach’s contraction mapping principle. Illustrative examples also presented.