in this paper, we prove some coupled coincidence point theorems for mappings with the mixedmonotone property and obtain the uniqueness of this coincidence point. then we providing useful examples in nash equilibrium.

Abstract. This paper deals with fixed point theory and fixed point property in minimal spaces. We will prove that under some conditions f : (X,M) → (X,M) has a fixed point if and only if for each m-open cover {Bα} for X there is at least one x ∈ X such that both x and f(x) belong to a common Bα. Further, it is shown that if (X,M) has the fixed point property, then its minimal retract subset enj...

Non-triangular metric spaces have been introduced by Khojasteh and Khandani [12] in 2020. The concept of non-triangular is fresh therefore, requires quite some analysis on its topology. In this article, we made an attempt to study the topology giving a natural definition open sets context. introduction has shown that there no inherent need for triangle inequality prove various fixed point resul...

Abstract The manuscript is an extension of the investigations concerning ? -contractions which have been newly proposed in (Jleli and Samet J. Inequal. Appl. 2014:38, 2014). authors generalize notion to case nonlinear $\theta _{b} $ ? b -contraction mappings prove multi...