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In this paper, we introduce the concepts of weaknorm, quasi-weaknorm on real vector spaces. By these concepts, we introduce the concept of quasi-locally convex topological vector spaces, which include locally convex topological vector…

Functional Analysis · Mathematics 2020-01-01 Jinlu Li

The aim of this paper is to discus the relations between various notions of sequential completeness and the corresponding notions of completeness by nets or by filters in the setting of quasi-metric spaces. We propose a new definition of…

General Mathematics · Mathematics 2020-12-04 S. Cobzaş

We establish the existence of complete K\"ahler metrics of semi-positive holomorphic sectional curvature with many zeroes in an interesting and natural geometric setting. Specifically, we use Calabi's Ansatz in the form due to Koiso-Sakane…

Differential Geometry · Mathematics 2023-08-25 Minzi Chen , Gordon Heier

In the present paper, we extend the Zamfirescu results ([9]) to A-metric spaces. Firstly, we define the notion of Zamfirescu mapping in A-metric spaces. After, we also obtain a fixed point theorem for such mappings. The established results…

Functional Analysis · Mathematics 2021-06-30 Isa Yildirim

In this paper, we state and prove a generalization of \'Ciri\'c fixed point theorems in metric space by using a new generalized quasi-contractive map. These theorems extend other well known fundamental metrical fixed point theorems in the…

General Topology · Mathematics 2014-03-19 Nguyen Van Dung , Poom Kumam , Kanokwan Sitthithakerngkiet

In this article, we prove some fixed point theorems in metric type spaces. This article is just a generalization some results previously proved in \cite{niyi-gaba}. In particular, we give some coupled common fixed points theorems under weak…

General Topology · Mathematics 2015-05-12 Yaé Ulrich Gaba

In this paper, we study the existence of solutions for generalized vector quasi-equilibrium problems. Firstly, we prove that in the case of Banach spaces, the assumptions of continuity over correspondences can be weakened. The theoretical…

Optimization and Control · Mathematics 2016-05-12 Monica Patriche

In this paper we introduce the concept of the rectangular metric like spaces, along with its topology and we prove some fixed point theorems under different contraction principles. We introduce the concept of modified metric-like space as…

General Topology · Mathematics 2018-03-16 Nabil Mlaiki , Kamal Abudayeh , Thabet Abdeljawad , Muhib Abuloha

In this paper, we introduce the notion of bicomplex partial b-metric space and prove some common fixed point theorems. Our results generalize and expand some of the literature's well known results. We also explore some of the applications…

Functional Analysis · Mathematics 2021-07-12 Gunaseelan Mani , Arul Joseph Gnanaprakasam , Yongjin Li , Zhaohui Gu

This paper presents some startpoint (endpoint, fixed point) theorems for mutli-valued maps that generalize recent results proved by Y. U. Gaba \cite{rico, ricoo}.

General Mathematics · Mathematics 2015-03-03 Yaé Ulrich Gaba

In this paper, we introduced two new generalized metric spaces called partial b_{v}(s) and b_{v}({\theta}) metric spaces which extend b_{v}(s) metric space, b-metric space, rectangular metric space, v-generalized metric space, partial…

General Topology · Mathematics 2023-01-27 Ibrahim Karahan , Irfan Isik

In this paper, we give common coincidence point and common fixed point theorems for four self maps in the setting of generalized TAC-contraction in partial b-metric space. Also, we give an example to authenticate the viability of the…

General Topology · Mathematics 2023-10-20 Anuradha Gupta , Rahul Mansotra

New fixed point results are presented for ${\cal U}_c^{\kappa}(X,X)$ maps in extension type spaces.

Classical Analysis and ODEs · Mathematics 2007-05-23 Ravi P Agarwal , Jong Kyu Kim , Donal O'Regan

Our goal is to provide a survey of some topics in quasiconformal analysis of current interest. We try to emphasize ideas and leave proofs and technicalities aside. Several easily stated open problems are given. Most of the results are joint…

Complex Variables · Mathematics 2007-05-23 Matti Vuorinen

The purpose of this paper is to introduce the class of R-enriched interpolative Kannan pair and proved a common fixed point result in the context of R-complete convex metric spaces. Some examples are presented to support the concepts…

General Mathematics · Mathematics 2022-11-24 Mujahid Abbas , Rizwan Anjum , Shakeela Riasat

In this paper, we introduce the concept of quasi-point-separable topological vector spaces, which has the following important properties: 1.In general, the conditions for a topological vector space to be quasi-point-separable is not very…

Functional Analysis · Mathematics 2022-01-04 Jinlu Li

In this oaper, we prove some fixed point theorems in metric vector spaces, in which the continuity is not required for the considered mappings to satisfy. We provide some concrete examples to demonstrate these theorems. We also give some…

Functional Analysis · Mathematics 2022-11-08 Jinlu Li

This paper is devoted to prove the S. L. Singh's common fixed point Theorem for commuting mappings in cone metric spaces. In this framework, we introduce the notions of Generalized Kannan Con- traction, Generalized Zamfirescu Contraction…

Functional Analysis · Mathematics 2013-07-17 José R. Morales , Edixon Rojas

In this article, we discuss fixed point results for $(\varepsilon,\lambda)$-uniformly locally contractive self mapping defined on $\varepsilon$-chainable $G$-metric type spaces. In particular, we show that under some more general…

General Topology · Mathematics 2017-02-24 Yaé Olatoundji Gaba

In this paper, we present a new concept of interpolative contraction mappings in $C^{\ast}$-algebra valued complete metric space and we prove the existence of fixed points and common fixed points for Kannan-Riech type contractions.

Functional Analysis · Mathematics 2024-10-08 Hafida Massit , Mohamed Rossafi , Choonkil Park
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