The Eigenfunction Expansion for a Dirichlet Problem with Explosive Factor by Zaki F. A. El-Raheem, A. H. Nasser

“…We prove the eigenfunction expansion formula for a Dirichlet problem with explosive factor by two ways, first by standard method and second by proving a convergence in some metric space 𝐿2(0,𝜋;𝜌(𝑥)).…”
Get full text

A Suzuki Type Fixed-Point Theorem by Ishak Altun, Ali Erduran

“…We present a fixed-point theorem for a single-valued map in a complete metric space using implicit relation, which is a generalization of several previously stated results including that of Suziki (2008).…”
Get full text

Parabolic (φ, ξ, η, g, λ)-structures of second kind on hypersurfaces of dual metric 4-dimensional spaces by Angelė Baškienė

“… Parabolic metric (φ, ξ, η, g, λ)-structures of second kind on hypersurfaces of 4-dimensional dual metric space and its properties are investigated. Some examples of normal, integrable parabolic metric structures of second kind are given. …”
Get full text

On Generalized Caristi Type Satisfying Admissibility Mappings by Mohammed M. A. Almazah, Basel Hardan, Ahmed A. Hamoud, Faisal A. M. Ali

“…In this article, the existence and uniqueness of a fixed point were investigated using the concept of σ,γ-contractive in the context of Hausdorff metric space. A well-known Caristi type is primarily generalized by the new results. …”
Get full text

On common fixed points of weakly commuting mappings and set-valued mappings by S. Sessa, B. Fisher

“…Our main theorem establishes the uniqueness of the common fixed point of two set-valued mappings and of two single-valued mappings defined on a complete metric space, under a contractive condition and a weak commutativity concept. …”
Get full text

Common Fixed Point Theorems for Weakly Compatible Maps Satisfying a General Contractive Condition by Cristina Di Bari, Calogero Vetro

“…We introduce a new generalized contractive condition for four mappings in the framework of metric space. We give some common fixed point results for these mappings and we deduce a fixed point result for weakly compatible mappings satisfying a contractive condition of integral type.…”
Get full text

Point-valued mappings of sets by Matt Insall

“…Let X be a metric space and let CB(X) denote the closed bounded subsets of X with the Hausdorff metric. …”
Get full text

Fixed point theorems for non-self maps I by Troy L. Hicks, Linda Marie Saliga

“…All results hold when X is complete metric space. Several results hold in a much more general setting.…”
Get full text

Set-Word Embeddings and Semantic Indices: A New Contextual Model for Empirical Language Analysis by Pedro Fernández de Córdoba, Carlos A. Reyes Pérez, Claudia Sánchez Arnau, Enrique A. Sánchez Pérez

“…We present a new word embedding technique in a (non-linear) metric space based on the shared membership of terms in a corpus of textual documents, where the metric is naturally defined by the Boolean algebra of all subsets of the corpus and a measure <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>μ</mi></semantics></math></inline-formula> defined on it. …”
Get full text

Stability of Fixed Point Sets of a Class of Multivalued Nonlinear Contractions by Binayak S. Choudhury, Chaitali Bandyopadhyay

“…We consider a problem of stability of fixed point sets for a sequence of multivalued mappings defined on a metric space converging to a limit function where the convergence is with respect to the Pompeiu-Hausdorff distance. …”
Get full text

Fuzzy Fixed Point Results For Φ Contractive Mapping with Applications by Humaira, Muhammad Sarwar, G. N. V. Kishore

“…In this paper, using rational type contractions, common fuzzy fixed point result for Φ contractive mappings involving control functions as coefficients of contractions in the setting of complex-valued metric space is established. The derived results generalizes some result in the existing literature. …”
Get full text

Relational Quasicontractions and Related Fixed Point Theorems by Nidal H. E. Eljaneid, Faizan A. Khan, Hamid I. A. Mohammed, Aftab Alam

“…In this article, some results on fixed points under quasicontractions in the framework of metric space endowed with binary relation are proved. …”
Get full text

Existence of Fixed Points of Four Maps for a New Generalized F-Contraction and an Application by Muhammad Nazam, Hassen Aydi, Mohd Salmi Noorani, Haitham Qawaqneh

“…We initiate the concept of a new generalized F-contraction satisfying some contractive conditions involving four maps on a partial metric space. We set up an example to elucidate our main result. …”
Get full text

Edge Theoretic Extended Contractions and Their Applications by R. Rajagopalan, Ekta Tamrakar, Fahad. S. Alshammari, H. K. Pathak, Reny George

“…Edge theoretic extended contractions are introduced and coincidence point theorems and common fixed-point theorems are proved for such contraction mappings in a metric space endowed with a graph. As further applications, we have proved the existence of a solution of a nonlinear integral equation of Volterra type and given a suitable example in support of our result.…”
Get full text

A common fixed point theorem of Meir and Keeler type by Y. J. Cho, P. P. Murthy, G. Jungck

“…In this paper, we introduce the concept of compatible mappings of type (A) on a metric space, which is equivalent to the concept of compatible mappings under some conditions, and give a common fixed point theorem of Meir and Keeler type. …”
Get full text

On Fuzzy Fixed Points for Fuzzy Maps with Generalized Weak Property by Marwan Amin Kutbi, Jamshaid Ahmad, Akbar Azam, Nawab Hussain

“…Let (X,d) be a complex valued metric space and let S,T be mappings from X to a set of all fuzzy subsets of X. …”
Get full text

On the uniform exponential stability of linear skew-product semiflows by Ciprian Preda

“…The problem of uniform exponential stability of linear skew-product semiflows on locally compact metric space with Banach fibers, is discussed. It is established a connection between the uniform exponential stability of linear skewproduct semiflows and some admissibility-type condition. …”
Get full text

Fixed Point Theorems for Generalized Mizoguchi-Takahashi Graphic Contractions by Nawab Hussain, Jamshaid Ahmad, Marwan Amin Kutbi

“…Some applications to the construction of a fixed point of multivalued mappings in ε-chainable metric space are also discussed.…”
Get full text

Some Generalized Fixed Point Results with Applications to Dynamic Programming by Hamed H. Al-Sulami, Nawab Hussain, Jamshaid Ahmad

“…The aim of this paper is to introduce some generalized contractions and prove certain new fixed point results for self-mappings satisfying these contractions in the setting of F-metric space. As an application of our results, we investigate the problem of dynamic programming related to the multistage process which formulates the problems of computer programming and mathematical optimization. …”
Get full text

A Suzuki Type Coupled Fixed Point Theorem for Generalized Multivalued Mapping by Pushpendra Semwal, Ramesh Chandra Dimri

“…We obtain a new Suzuki type coupled fixed point theorem for a multivalued mapping T from X×X into CB(X), satisfying a generalized contraction condition in a complete metric space. Our result unifies and generalizes various known comparable results in the literature. …”
Get full text