Results 21 to 30 of about 208 (105)

The Role of Generalized β−J Contraction Mappings in Neutrosophic Metric Spaces and Its Applications

open access: yesAbstract and Applied Analysis
MSC2020 Classification: 47H10, 45D05 ...
M. Pandiselvi   +2 more
doaj   +1 more source

Non-solid cone b-metric spaces over Banach algebras and fixed point results of contractions with vector-valued coefficients

open access: yesOpen Mathematics, 2023
In this article, without requiring solidness of the underlying cone, a kind of new convergence for sequences in cone bb-metric spaces over Banach algebras and a new kind of completeness for such spaces, namely, wrtn-completeness, are introduced.
Xu Shaoyuan, Cheng Suyu, Han Yan
doaj   +1 more source

Solving Systems of Linear Integral Equations via Fixed Point Theory in Extended Parametric Sb‐Metric Spaces

open access: yesInternational Journal of Differential Equations, Volume 2025, Issue 1, 2025.
The purpose of this article is to present some fixed point theorems to guarantee the existence and uniqueness of common fixed points for two mappings (not necessary continuous), satisfying generalized contractions involving rational expressions in the setting of extended parametric Sb‐metric spaces.
Naveen Mani   +4 more
wiley   +1 more source

Convergence theorems for uniformly quasi‐Lipschitzian mappings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 15, Page 763-775, 2004., 2004
We prove some convergence theorems of the modified Ishikawa iterative sequence with errors for uniformly quasi‐Lipschitzian mappings in metric spaces. Our results generalize and improve the corresponding results of Petryshyn and Williamson, Ghosh and Debnath, Liu, and many others.
Haiyun Zhou   +3 more
wiley   +1 more source

A New Approach of Graphical Presentation in C∗‐Algebra‐Valued b‐Metric Spaces With an Application

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this paper, we introduced the new concept of a graphical presentation approach in C∗‐algebra‐valued b‐metric space (C∗AVbM‐space). We studied some new modified contraction conditions for single‐valued mappings in C∗AVbM‐spaces and proved the uniqueness of fixed point (FP) results in the said space with nontrivial illustrative examples.
Faiz Ullah   +4 more
wiley   +1 more source

Common fixed point theorems for contractive mappings satisfying Φ-maps in S-metric spaces

open access: yesActa Universitatis Sapientiae: Mathematica, 2016
In this paper we prove the existence of the unique fixed point for the pair of weakly compatible self-mappings satisfying some Ф-type contractive conditions in the framework of S-metric spaces. Our results generalize, extend, unify, complement and enrich
Sedghi Shaban   +3 more
doaj   +1 more source

Fixed-point results for convex orbital operators

open access: yesDemonstratio Mathematica, 2023
The aim of this article is to introduce a new type of operator similar to those of A. Petruşel and G. Petruşel type (Fixed point results for decreasing convex orbital operators, J. Fixed Point Theory Appl. 23 (2021), no.
Popescu Ovidiu
doaj   +1 more source

Related fixed points for set‐valued mappings on two uniform spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 69, Page 3783-3791, 2004., 2004
Some related fixed point theorems for set‐valued mappings on two complete and compact uniform spaces are proved.
Duran Türkoğlu, Brian Fisher
wiley   +1 more source

Two fixed point results on F-metric spaces

open access: yesTopological Algebra and its Applications, 2022
This paper presents two fixed point results for both single valued and multivalued mappings on F-metric spaces, which is introduced by Jleli and Samet [1]. First, we consider the concept of P-contraction for single valued mappings.
Altun Ishak, Erduran Ali
doaj   +1 more source

Controlled Metric Space and Fixed Point Theorems for Jaggi–Suzuki–Type Hybrid Contraction

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this paper, we introduce a new notion of generalized Jaggi–Suzuki–type hybrid contraction in the setting of controlled metric space and prove some fixed point theorems by making use of the same. A suitable example is also provided to prove the validity of our results.
Swati Parashar   +4 more
wiley   +1 more source

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