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Related papers: Startpoints via weak contractions

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We introduce the concept of $\it{ startpoint}$ and $\it{endpoint}$ for multivalued maps defined on a quasi-pseudometric space. We investigate the relation between these new concepts and the existence of fixed points for these set valued…

Functional Analysis · Mathematics 2014-08-25 Yaé Ulrich Gaba

In this article, we give new results in the startpoint theory for quasi-pseudometric spaces. The results we present provide us with the existence of startpoint (endpoint, fixed point) for multi-valued maps defined on a bicomplete…

Functional Analysis · Mathematics 2017-03-02 Yaé Olatoundji Gaba

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

We introduce the metric space valued in partially ordered groups, and define the convergence of sequences and the multi-valued weak contractions, etc., on the space. We then establish endpoint theorems for the defined maps. Our…

Functional Analysis · Mathematics 2014-06-03 Congdian Cheng

In this note, we discuss common fixed point for a family of self mapping defined on a metric type space and satisfying a weakly contractive condition. In our development, we make use of the $\lambda$-sequence approach and also of a certain…

General Topology · Mathematics 2024-08-06 Collins Amburo Agyingi , Yaé Ulrich Gaba

Using the setting of ordered metric spaces, we obtain common end point of two multivalued mappings satisfying a generalized $(\psi,\varphi)$-weak contractive condition. Under comparative condition on the set of end points of multivalued…

Metric Geometry · Mathematics 2023-05-17 Talat Nazir , Sergei Silvestrov

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 note, we discuss some fixed point theorems for contractive self mappings defined on a $G$-metric spaces. More precisely, we give fised point theorems for mappings with a contractive iterate at a point.

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

In this paper, we study some new fixed point results for self maps defined on partial metric type spaces. In particular, we give common fixed point theorems in the same setting. Some examples are given which illustrate the results.

General Topology · Mathematics 2018-09-12 Yaé Ulrich Gaba

Fixed point results with respect to generalized rational contractive mappings in semi-metric spaces endowed with a directed graph are proved. Some examples are provided to illustrate the results. The obtained results extend, improve and…

General Topology · Mathematics 2023-08-04 Talat Nazir , Zakaria Ali , Shahin Nosrat Jogan , Sergei Silvestrov

We introduce a new class of asymptotic contractions that employs two quasi-metrics defined directly in terms of the underlying mapping. The contraction condition compares these two quantities via a sequence of bounding functions that…

Functional Analysis · Mathematics 2026-04-20 Jie Shi

In this paper, we introduce the neutrosophic contractive and neutrosophic mapping. We establish some results on fixed points of a neutrosophic mapping.

General Mathematics · Mathematics 2019-10-09 Murat Kirişci , Necip Şimşek , Mahmut Akyiğit

In this paper, inspired by the concept of generalized weakly contractive mappings in metric spaces, we introduce C-Class function and fixed point theory for weakly contractive in the setting of rectangular $b$-metric spaces and established…

General Topology · Mathematics 2023-05-23 Mohamed Rossafi , Abdelkarim Kari , Arsalan Hojjat Ansari

This article presents a deep investigation of fixed points for multivalued weak contractions in cone metric spaces. We extend Berinde weak contraction principles to the multivalued setting in cone metric spaces, developing existence,…

Functional Analysis · Mathematics 2025-08-13 Elvin Rada

The main purpose of this paper is to find the fixed point in such cases where existing literature remain silent. In this paper we introduce partial completeness, a new type of contraction and many other definitions. Using this approach the…

Functional Analysis · Mathematics 2018-03-23 Tawseef Rashid , Qamrul Haque Khan

We establish common fixed point theorems for two pairs of weakly compatible self-mappings using an auxiliary function of two variables. Unlike classical results, our theorems do not assume continuity of the mappings and require completeness…

Functional Analysis · Mathematics 2025-09-10 Babu G. V. R. , Alemayehu Negash , Sandhya M. L. , Meaza Bogale

In this paper, we are concerned with the study of the existence of fixed points for single and multi-valued three-points contractions. Namely, we first introduce a new class of single-valued mappings defined on a metric space equipped with…

General Topology · Mathematics 2025-02-28 Mohamed Jleli , Evgeniy Petrov , Bessem Samet

We establish common fixed point theorems for two pairs of weakly compatible self-mappings using an auxiliary function of two variables. Unlike classical results, our theorems do not assume continuity of the mappings and require completeness…

Functional Analysis · Mathematics 2025-08-13 Babu G. V. R. , Alemayehu Negash , Meaza Bogale

The first aim of this paper is to examine some important properties of soft metric spaces. Second is to introduce soft continuous mappings and investigate properties of soft continuous mappings. Third is to prove some fixed point theorems…

General Mathematics · Mathematics 2013-08-22 Murat I. Yazar , Cigdem Gunduz , Sadi Bayramov

The concept of quasi-partial b-metric-like spaces is being introduced and studied with the help of topology. Examples are also discussed to support the results. Some fixed point theorems are proved in the setting of quasi-partial…

General Topology · Mathematics 2018-12-04 Anuradha Gupta , Manu Rohilla
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