We obtain fixed point theorems for cyclic self-maps on complete metric spaces
involving Meir-Keeler and weaker Meir-Keeler functions, respectively. In this way, we
extend several well-known fixed point theorems and, in ...
We obtain two fixed point theorems for complete partial metric space that, by one hand, clarify and improve some results that have been recently published in Topology and its Applications, and, on the other hand, generalize ...
[EN] The purpose of this article is to prove some fixed point theorems for simulation functions in complete b-metric spaces with partially ordered by using wt-distance which introduced by Hussain et al. Also, we ...
We prove a fixed point theorem for cyclic orbital generalized contractions on complete metric spaces from which
we deduce, among other results, generalized cyclic versions of the celebrated Boyd and Wong fixed point ...
[EN] The aim of this paper is to present fixed point results of contractive mappings in the framework of cone b-metric spaces endowed with a graph and associated with a generalized c-distance. Some corollaries and an example ...
Nazam, Muhammad; Arshad, Muhammad; Abbas, Mujahid(Universitat Politècnica de València, 2017-10-02)
[EN] Following the approach of $F$- contraction introduced by Wardowski \cite{DW}, in this paper, we introduce improved $F$-contraction of rational type in the framework of partial metric spaces and used it to obtain a ...
Grinc, M.; Snoha, L.(Universitat Politècnica de València, 2000-10-01)
[EN] We prove that a continuous triangular map G of the n-dimensional cube In has only fixed points and no other periodic points if and only if G has a common fixed point with every continuous triangular map F that is ...
Singh, S.L.; Hematulin, Apichai; Pant, Rajendra(Universitat Politècnica de València, 2009-04-01)
[EN] In this paper, we obtain some extensions and a generalization of a remarkable fixed point theorem of Proinov. Indeed, we obtain some coincidence and fixed point theorems for asymptotically regular non-self and self-maps ...
Kamal, Raj; Chugh, Renu; Singh, S. L.; Mishra, Swami Nath(Editorial Universitat Politècnica de València, 2014-10-01)
[EN] Common fixed point theorems for a new class of multivalued maps are obtained, which generalize and extend classical fixed point theorems of Nadler and Reich and some recent Suzuki type fixed point theorems.
Valero, Oscar(Universitat Politècnica de València, 2005-10-01)
[EN] In this paper we prove several generalizations of the Banach fixed point theorem for partial metric spaces (in the sense of O’Neill) given in, obtaining as a particular case of our results the Banach fixed point theorem ...
Gregori Gregori, Valentín; Miñana, Juan José(Elsevier, 2016-10-01)
In this paper we give a fixed point theorem in the context of fuzzy metric spaces in the sense of George and Veeramani. As a consequence of our result we obtain a fixed point theorem due to D. Mihet and generalize a fixed ...
We prove the existence of common fuzzy fixed points for a sequence of locally contractive fuzzy mappings satisfying generalized Banach type contraction conditions in a complete metric space by using iterations. Our main ...
Buzyakova, Raushan(Universitat Politècnica de València, 2016-10-03)
[EN] We show that for any continuous monotonic bijection $f$ on a $\sigma$-compact subgroup $G\subset \mathbb R$ there exists a binary operation $+_f$ such that $\langle G, +_f\rangle$ is a topological group topologically ...
Ricarte Moreno, Luis Alberto; Romaguera Bonilla, Salvador(University of Sistan and Baluchestan, 2013-12)
[EN] We obtain two fixed point theorems for a kind of phi-contractions in complete fuzzy metric spaces, which are applied to easily deduce intuitionistic versions that improve and simplify the recent results of X. Huang, ...
[EN] In this note we show that the fixed point theorems given for Menger spaces by J. Jachymski (2010) [5, Theorem 1] and J.X. Fang (2015) [2, Theorem 3.1] are equivalent.
Belbaki, Rabah; Karapinar, E.; Ould-Hammouda, Amar(Universitat Politècnica de València, 2018-10-04)
[EN] In this manuscript we introduce a new class of monotone generalized nonexpansive mappings and establish some weak and strong convergence theorems for Krasnoselskii iteration in the setting of a Banach space with partial ...
[EN] We show that some important fixed point theorems on complete metric spaces as Browder’s fixed point
theorem and Matkowski’s fixed point theorem can be easily generalized to the framework of bicomplete
quasi-metric ...
Ahmadullah, Md; Imdad, Mohammad; Arif, Mohammad(Universitat Politècnica de València, 2018-04-02)
[EN] In this paper, we prove coincidence and common fixed points results under nonlinear contractions on a metric space equipped with an arbitrary binary relation. Our results extend, generalize, modify and unify several ...
Boxer, Laurence; Staecker, P. Christopher(Universitat Politècnica de València, 2019-04-01)
[EN] Several recent papers in digital topology have sought to obtain fixed point results by mimicking the use of tools from classical topology, such as complete metric spaces and homotopy invariant fixed point theory. We ...