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Abstract In this paper, we use Suzuki-type contraction to prove three fixed point theorems for generalized contractions in an ordered space equipped with two metrics; we obtain some generalizations of the Kannan fixed point theorem. Our results on partially ordered metric spaces generalize and extend some results of Ran and Reurings as well as of Nieto and Rodríguez-López. To illustrate the effectiveness of our main result, we give an application to matrix equations which involves monotone mappings.

We present the concept of α , k , θ , φ -contractive multivalued mappings in b -metric spaces and prove some fixed point results for these mappings in this study. Our results expand and refine some of the literature's findings in fixed point theory. [ABSTRACT FROM AUTHOR]

In this paper, we present the notion of θ − ϕ − expansive mapping in complete rectangular metric spaces and study various fixed point theorems for such mappings. The presented theorems extend, generalize, and improve many existing results in the literature. [ABSTRACT FROM AUTHOR]

In the last few decades, a lot of generalizations of the Banach contraction principle had been introduced. In this paper, we present the notion of θ -contraction and θ − ϕ -contraction in generalized asymmetric metric spaces to study the existence and uniqueness of the fixed point for them. We will also provide some illustrative examples. Our results improve many existing results. [ABSTRACT FROM AUTHOR]

In this paper, we obtain some fixed point results for noncyclic monotone ρ -nonexpansive mappings in uniformly convex modular spaces and uniformly convex in every direction modular spaces. As an application, we prove the existence of the solution of an integral equation. [ABSTRACT FROM AUTHOR]

In this paper, we present some related Caristi type fixed point theorems for multivalued maps in complete metric spaces. As application, we establish a new version of the ε-variational principle. Examples are given to illustrate our results. [ABSTRACT FROM AUTHOR]

We prove a fixed point theorem for some contraction mapping in complete quasi-metric space with w-distance, and a common fixed point theorem for two and three self mappings. [ABSTRACT FROM AUTHOR]

We give some generalizations of the B. Fischer fixed point theorem (B. Fisher [7]) for two mappings on metric spaces by using a function α defined from [0,+∞[ into [0, 1[ and satisfies lim supt→to α(t) < 1; for all to ≤ 0: We study also the existence of solutions for a functional equation arising in dynamic programming. [ABSTRACT FROM AUTHOR]