Results 1 to 10 of about 360 (171)
The concept of cone b-Banach space and fixed point theorems
Open Mathematics, 2021 In this article, the concepts of cone b-norm and cone b-Banach space are given. Some new fixed point theorems in cone b-Banach spaces are established. The new results improve some fixed point theorems in cone Banach spaces.
Yang Chen, Zhu Xiaolin
doaj +1 more source
Demonstratio Mathematica, 2023 We introduced a new general class of Prešić-type operators, by enriching the known class of Prešić contractions. We established conditions under which enriched Prešić operators possess a unique fixed point, proving the convergence of two different ...
Păcurar Mădălina
doaj +1 more source
Some Fixed Point Theorems Via Combination of Weak Contraction and Caristi Contractive Mapping
Annales Mathematicae Silesianae, 2021 In this paper we introduce some new types of contractive mappings by combining Caristi contraction, Ćirić-quasi contraction and weak contraction in the framework of a metric space.
Roy Kushal +3 more
doaj +1 more source
Results in Strongly Minihedral Cone and Scalar Weighted Cone Metric Spaces and Applications
Annales Mathematicae Silesianae, 2021 The convergence of sequences and non-unique fixed points are established in ℳ-orbitally complete cone metric spaces over the strongly minihedral cone, and scalar weighted cone assuming the cone to be strongly minihedral.
Tomar Anita, Joshi Meena
doaj +1 more source
Equivalents of maximum principles for several spaces
Topological Algebra and its Applications, 2022 According to our long-standing Metatheorem, certain maximum theorems can be equivalently reformulated to various types of fixed point theorems, and conversely.
Park Sehie
doaj +1 more source
On multivalued Suzuki-type θ-contractions and related applications
Open Mathematics, 2020 In this study, we develop the concept of multivalued Suzuki-type θ-contractions via a gauge function and established two new related fixed point theorems on metric spaces. We also discuss an example to validate our results.
Ali Amjad +5 more
doaj +1 more source
Extended Nb-cone metric spaces over Banach algebra with an application
Topological Algebra and its Applications, 2022 In this manuscript, we present a new notion which is named as extended Nb-cone metric space over Banach algebra and investigate some fixed point results in the new setting.
Fernandez Jerolina +2 more
doaj +1 more source
ON COUPLED FIXED POINTS FOR TWO MULTI-VALUED MAPPINGS IN ORDERED S -METRIC SPACES [PDF]
Assiut University Journal of Multidisciplinary Scientific Research, 2018 In the present paper, we propose a multi-valued version of weakly mixed monotone property for two single-valued mappings in partially ordered -metric spaces. Also, we state and prove some coupled fixed point theorems using this property.
doaj +1 more source
Fixed point Theorem for Interpolative Mappings in F-Mv-Metric Space with an Application
Topological Algebra and its Applications, 2022 The aim of this paper is to prove fixed point results for Interpolativemappings in F-Mv-metric spaces with an application which cannot be obtained from the corresponding results in metric spaces.
Wangwe Lucas
doaj +1 more source
Open 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