Abstract This paper aims to present the concept of multi-valued mappings in fuzzy cone metric spaces and prove some basic lemmas, a Hausdorff metric, fixed point results for set-valued cone-contraction mappings. We theorem rational type cone-contractions spaces. Our extend improve given literature.

We introduce the concept of triangular αc-admissible mappings (pair of mappings) with respect to ηc nonself-mappings and establish the existence of PPF dependent fixed (coincidence) point theorems for contraction mappings involving triangular αc-admissible mappings (pair of mappings) with respect to ηc nonself-mappings in Razumikhin class. Several interesting consequences of our theorems are al...

Abstract This paper presents two fixed point results for both single valued and multivalued mappings on F -metric spaces, which is introduced by Jleli Samet [1]. First, we consider the concept of P -contraction mappings. Then using Feng-Liu’s technique, present a result -closed set spaces.

We prove the existence of fixed points of monotone quasi-contraction mappings in metric and modular metric spaces. This is the extension of Ran and Reurings fixed point theorem for monotone contraction mappings in partially ordered metric spaces to the case of quasicontraction mappings introduced by Ćirić. The proofs are based on Lemmas ?? and ??, which contain two crucial inequalities essentia...

Recently, the fixed-circle problems have been studied with different approaches as an interesting and geometric generalization. In this paper, we present some solutions to open problem CC: what is (are) condition(s) make any circle C?0,? common fixed for two (or more than two) self-mappings? To do this, modify known contractions which are used in fixed-point theorems such Hardy–Rogers-type cont...

In this paper, we consider a new type of Proinov contraction on the setting symmetrical abstract structure, more precisely, metric space. Our goal is to expand some results from literature using admissible mappings and concept E-contraction. The considered examples indicate validity obtained results.

In this work, we prove the existence of best proximity point results for ⊥-contraction (orthogonal-contraction) mappings on an O-complete metric space (orthogonal-complete space). Subsequently, these are employed to establish common result. Finally, provide suitable examples demonstrate validity our results.

* Correspondence: ming@mail. nhcue.edu.tw Department of Applied Mathematics, National Hsinchu University of Education, Hsin-Chu, Taiwan Full list of author information is available at the end of the article Abstract In this article, we introduce the notions of (j φ)-weak contraction mappings and (ψ φ)-weak contraction mappings in complete generalized metric spaces and prove two theorems which a...

In this paper, we shall generalize the definition of (φ− k) −B contraction to multi-valued mappings which was presented before in single valued case by Mihet. Then we shall prove two fixed point theorems for multi-valued (φ− k) − B contraction mappings in probabilistic metric space.