Some Fixed Point Theorems in Generalized Probabilistic Metric Spaces by Chuanxi Zhu, Wenqing Xu, Zhaoqi Wu

“…We introduce the concepts of (H,ψ,Φ)-contraction and probabilistic (α,φ)-contraction mappings in generalized probabilistic metric spaces and prove some fixed point theorems for such two types of mappings in generalized probabilistic metric spaces. …”
Get full text

Some Remarks on Fixed Point Theorems for Interpolative Kannan Contraction by Youssef Errai, El Miloudi Marhrani, Mohamed Aamri

Get full text

Theta Cone Metric Spaces and Some Fixed Point Theorems by Sahar Mohamed Ali Abou Bakr

“…Furthermore, it proves some lemmas and then uses them to give further generalizations of some well-known fixed point theorems. Specifically, Theorem 2 of the paper is a generalization of Reich’s fixed point theorem.…”
Get full text

Fixed Point Theorems and Uniqueness of the Periodic Solution for the Hematopoiesis Models by Jun Wu, Yicheng Liu

“…Our methods are based on the equivalent norm techniques and a new fixed point theorem in the continuous function space.…”
Get full text

Spectral multiplier theorems for abstract harmonic oscillators on UMD lattices by van Neerven, Jan, Portal, Pierre, Sharma, Himani

“…This can be seen as a generalisation of the Stone–von Neumann theorem to UMD lattices $X$ that are not Hilbert spaces.…”
Get full text

Functional-Type Caristi–Kirk Theorem on Menger Space and Application by Soumia Chaira, Mohammed Dahmouni, Abderrahim Eladraoui, Mustapha Kabil

“…In this paper, we extend Caristi’s fixed point theorem in metric spaces to probabilistic metric spaces, and also, we prove some common fixed point theorems for a pair of mappings satisfying a system of Caristi-type contractions in the setting of a Menger space. …”
Get full text

New Proof for Balian-Low Theorem of Nonlinear Gabor System by D. H. Yuan, S. Z. Yang, X. W. Zheng, Y. F. Shen

“…The main purpose of this paper is to give a new proof of the Balian-Low theorem for Gabor system {eimθ(2πt)g(t−n),  m,n∈ℤ}, which is proposed by Fu et al. and associated with nonlinear Fourier atoms. …”
Get full text

Random Fixed Point Theorems of Random Comparable Operators and an Application by Jiandong Yin, Zhongdong Liu

“…We introduce the new concept of random comparable operators as a generalization of random monotone operators and prove several random fixed point theorems for such a class of operators in partially ordered Banach spaces. …”
Get full text

Some Common Fixed Point Theorems in Partial Metric Spaces by Erdal Karapınar, Uğur Yüksel

Get full text

Existence theorems for differential inclusions with nonconvex right hand side by Nikolaos S. Papageorgiou

“…In this paper we prove some new existence theorems for differential inclusions with a nonconvex right hand side, which is lower semicontinuous or continuous in the state variable, measurable in the time variable and takes values in a finite or infinite dimensional separable Banach space.…”
Get full text

Extending Hall's Theorem into List Colorings: A Partial History by D. G. Hoffman, P. D. Johnson

“…Johnson Jr. found a natural generalization of the condition in Philip Hall's celebrated theorem on systems of distinct representatives. This generalization was formed in the relatively new theory of list colorings of graphs. …”
Get full text

(SPT-)LSM theorems from projective non-invertible symmetries by Salvatore D. Pace, Ho Tat Lam, and Ömer M. Aksoy

“…When this condition is not met, we prove an SPT-LSM theorem: any unique and gapped ground state is necessarily a non-invertible weak symmetry protected topological (SPT) state with non-trivial entanglement, for which we construct an example fixed-point Hamiltonian. …”
Get full text

New results on system of variational inequalities and fixed point theorem by Ayache Benhadid, Mahmoud Brahimi

“…Benhadid showed by a counterexample that a number of publications in the research on the variational inequalities system contains inaccurate results about applying the Lipschitz continuity concept in relation to both the first and second variables during the proof of the main theorem on the part of authors. In this paper, We suggest to applying fixed point theorem to correct the main results of some publications.…”
Get full text

Fixed point theorems in metric spaces and probabilistic metric spaces by Yeol Je Cho, Keun Saeng Park, Shih-Sen Chang

“…In this paper, we prove some common fixed point theorems for compatible mappings of type (A) in metric spaces and probabilistic metric spaces Also, we extend Caristi's fixed point theorem and Ekeland's variational principle in metric spaces to probabilistic metric spaces.…”
Get full text

Existence and Uniqueness Theorems of Ordered Contractive Map in Banach Lattices by Xingchang Li, Zhihao Wang

“…This paper presents some existence and uniqueness theorems of the fixed point for ordered contractive mapping in Banach lattices. …”
Get full text

A Gauss-Kuzmin Theorem and Related Questions for θ-Expansions by Gabriela Ileana Sebe, Dan Lascu

Get full text

A Fubini Theorem in Riesz spaces for the Kurzweil-Henstock Integral by A. Boccuto, D. Candeloro, A. R. Sambucini

“…A Fubini-type theorem is proved, for the Kurzweil-Henstock integral of Riesz-space-valued functions defined on (not necessarily bounded) subrectangles of the “extended” real plane.…”
Get full text

Some multiple Gaussian hypergeometric generalizations of Buschman-Srivastava theorem by M. I. Qureshi, M. Sadiq Khan, M. A. Pathan

Get full text

A Version of the Hahn-Banach Theorem for R-Vector Spaces by Azadeh Alijani, Zohreh Heydarpour, Maryam Naderi Parizi

Subjects: “…hahn banach theorem…”
Get full text

A Maximal Element Theorem in FWC-Spaces and Its Applications by Haishu Lu, Qingwen Hu, Yulin Miao

“…A maximal element theorem is proved in finite weakly convex spaces (FWC-spaces, in short) which have no linear, convex, and topological structure. …”
Get full text