Fixed point calculus is about the solution of recursive equations de ̨ned by a monotonic endofunction on a partially ordered set. This tutorial presents the basic theory of ̨xed point calculus together with a number of applications of direct relevance to the construction of computer programs. The tutorial also presents the theory and application of Galois connections between partially ordered se...

Abstract. In the present article, we introduce a unified notion of multi-tupled fixed points and utilize the same to prove some existence and uniqueness unified multi-tupled fixed point theorems for BoydWong type nonlinear contractions satisfying generalized mixed monotone property in ordered metric spaces. Our results unify several classical and well-known n-tupled (including coupled, tripled ...

In this paper, we define and study the Perov fuzzy metric space topology induced by space. We prove Banach contraction theorems. Moreover, devised new results for Kramosil Michálek spaces. process, some about multidimensional common fixed points as coupled/tripled point are derived from our main results.

In this article we present a variant of the basic result of "T. Gnana. Bhaskar and V. Lakshmikanthan, Fixed point theorem in partially ordered metric spaces and applications, Nonlinear Anal. TMA, 65 (2006), 1379–1393." to …nd the coupled …xed points of multivalued mappings without mixed monotone property in cone metric space involving non-normal cones. As applications we prove the existence of ...

In the setting of fuzzy metric spaces (FMSs), a global optimization problem (GOP) obtaining distance between two subsets an FMS is solved by tripled fixed-point (FP) technique here. Also, weak contractions (WTCs) for that are given. This was known before in space (MS) as proximity point (PPP). The result correct each continuous τ—norms related to FMS. Furthermore, non-trivial example illustrate...

In this paper, we introduce and investigate the existence stability of a tripled system sequential fractional differential equations (SFDEs) with multi-point integral boundary conditions. The uniqueness solutions are established by principle Banach’s contraction alternative Leray–Schauder. Hyer–Ulam investigated. A few examples provided to identify major results.

In this paper, we study some tripled fixed and coincidence point theorems for two mappings F : X×X×X → X and g : X → X satisfying a nonlinear contraction based on φ-maps. Our results extend and improve many existing results in the literature. Also, we introduce an example to support the validity of our results.