The aim of this work is to extend the notion of weakly isotone increasing mappings to multivalued... more The aim of this work is to extend the notion of weakly isotone increasing mappings to multivalued and present common endpoint theorems for T-weakly isotone increasing multivalued mappings satisfying generalized (ψ , ϕ)-weak contractive as well as almost contractive inequalities in complete partially ordered metric spaces. Examples are given in support of the new results obtained.
We introduce the notion of C-admissible subspaces and obtain various conditions of C-admissibilit... more We introduce the notion of C-admissible subspaces and obtain various conditions of C-admissibility, generalizing well known results of Vu and Schuler. Moreover, we show the uniqueness of solutions for the operator equation AX−XB=CD with A generating an analytic C-semigroup which generalize results of Vu.
Abstract. Using the notion of compatible mappings in the setting of a partially ordered metric sp... more Abstract. Using the notion of compatible mappings in the setting of a partially ordered metric space, we prove the existence and uniqueness of tripled coincidence points involving a (φ, ψ)-contractive condition for a mappings having the mixed g-monotone property. We ...
Let X; Y be Banach spaces (or either topological vector spaces) and let us consider the function ... more Let X; Y be Banach spaces (or either topological vector spaces) and let us consider the function space C (S;X) of all continuous functions f : S ! X; from the compact (locally compact) space S into X; equipped with some appropriate topology. Put C (S;X) = C (S) if X = R: In this work we will mainly be concerned with the problem of representing linear bounded operators T : C (S;X) ! Y in an integral form: f 2 C (S;X) ; Tf = R S f d¹, for some integration process with respect to a measure ¹ on the Borel ¾¡field BS of S: The prototype of such representation is the theorem of F. Riesz according to which every continuous functional T : C (S) ! R has the Lebesgue integral form Tf = R S f d¹: This paper is intended to present various extensions of this theorem to the Banach spaces setting alluded to above, and to the context of locally convex spaces.
ABSTRACT Recently, Choudhury et al. proved a coupled coincidence point theorem in a partial order... more ABSTRACT Recently, Choudhury et al. proved a coupled coincidence point theorem in a partial order fuzzy metric space. In this paper, we give a new version of the result of Choudhury et al. by removing some restrictions. In our result, the mappings are not required to be compatible, continuous or commutable, and the t-norm is not required to be of Hadžić-type. Finally, two examples are presented to illustrate the main result of this paper. MSC: 54E70, 47H25.
The aim of this work is to extend the notion of weakly isotone increasing mappings to multivalued... more The aim of this work is to extend the notion of weakly isotone increasing mappings to multivalued and present common endpoint theorems for T-weakly isotone increasing multivalued mappings satisfying generalized (ψ , ϕ)-weak contractive as well as almost contractive inequalities in complete partially ordered metric spaces. Examples are given in support of the new results obtained.
We introduce the notion of C-admissible subspaces and obtain various conditions of C-admissibilit... more We introduce the notion of C-admissible subspaces and obtain various conditions of C-admissibility, generalizing well known results of Vu and Schuler. Moreover, we show the uniqueness of solutions for the operator equation AX−XB=CD with A generating an analytic C-semigroup which generalize results of Vu.
Abstract. Using the notion of compatible mappings in the setting of a partially ordered metric sp... more Abstract. Using the notion of compatible mappings in the setting of a partially ordered metric space, we prove the existence and uniqueness of tripled coincidence points involving a (φ, ψ)-contractive condition for a mappings having the mixed g-monotone property. We ...
Let X; Y be Banach spaces (or either topological vector spaces) and let us consider the function ... more Let X; Y be Banach spaces (or either topological vector spaces) and let us consider the function space C (S;X) of all continuous functions f : S ! X; from the compact (locally compact) space S into X; equipped with some appropriate topology. Put C (S;X) = C (S) if X = R: In this work we will mainly be concerned with the problem of representing linear bounded operators T : C (S;X) ! Y in an integral form: f 2 C (S;X) ; Tf = R S f d¹, for some integration process with respect to a measure ¹ on the Borel ¾¡field BS of S: The prototype of such representation is the theorem of F. Riesz according to which every continuous functional T : C (S) ! R has the Lebesgue integral form Tf = R S f d¹: This paper is intended to present various extensions of this theorem to the Banach spaces setting alluded to above, and to the context of locally convex spaces.
ABSTRACT Recently, Choudhury et al. proved a coupled coincidence point theorem in a partial order... more ABSTRACT Recently, Choudhury et al. proved a coupled coincidence point theorem in a partial order fuzzy metric space. In this paper, we give a new version of the result of Choudhury et al. by removing some restrictions. In our result, the mappings are not required to be compatible, continuous or commutable, and the t-norm is not required to be of Hadžić-type. Finally, two examples are presented to illustrate the main result of this paper. MSC: 54E70, 47H25.
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