In the current work, some fixed point theorems are proved on ordered cone b-metric space motivated by [2], [14] and [15]. The proposed theorems extend and unify several well-known comparable results in the literature to ordered cone b-metric spaces. Some supporting examples are given.
Using weak decomposition, we characterize in a unified manner the classes of doubly chordal, of hereditary dually chordal and of strongly chordal graphs. We also give a recognition algorithm that is applicable for doubly chordal graphs, for hereditary dually chordal and for strongly chordal graphs. In addition, we determine the combinatorial op-timization numbers in efficient time for all the above classes of graphs.
We give a characterization of hereditary doubly chordal graphs using weak decomposi-tion. We also give a recognition algorithm for hereditary doubly chordal graphs and we determine the combinatorial optimization numbers in efficient time.
In this paper, some properties of αgrw –continuous functions are discussed and the notion of αgrw -closed graph is introduced. Also, the pasting lemma for αgrw -continuous func-tions is proved.
The purpose of this paper is to prove a general fixed point theorem in GP - metric spaces for mappings satisfying an implicit relation, which generalizes and improves Theorem 2.10 [6]. In the last part of the paper we prove that these mappings satisfy property (P) in GP - metric spaces and if GP - metric is symmetric, then the fixed point problems is well posed.
In this paper a general fixed point theorem in complete G - metric spaces for weakly com-patible pairs satisfying a Ф - implicit relation is proved, which generalizes and unifies the results given by Theorems 3.2 and 3.3 [20].
We continue our investigation [7] of Pfaff systems on manifolds by studying some geo-metrical properties and some consequences of these structures. We point out new geomet-rical invariants of a distributions on manifolds.
In [2] Hashiguchi studied the conformal change of a Finsler metric, namely \overline{F} (x; y) = e^c(x)F (x; y). Since that moment other authors studied different kind of changes. In this paper we investigate the effect of the conformal change on Fins-lerian mechanical systems. We established the difference between the coefficients of the cannonical d-connection .
A new generalization of local connectedness called ‘R_cl-local connectedness’ is intro-duced. Basic properties of R_cl-locally connected spaces are studied and their place in the hierarchy of variants of local connectedness which already exist in the literature is discussed. R_cl-local connectedness is preserved in the passage to r_cl-open sets and is invariant under disjoint topological sums. A necessary and sufficient condition for a product of R_cl-local connected spaces be R_cl-locally connected proved. Preservation of R_cl-local connectedness under mappings is investigated. It is shown that R_cl-local con-nectedness is preserved under quotients and an r_cl-quotient of an R_cl-locally connected space is locally connected. The category of R_cl-locally connected spaces is properly con-tained in the category of sum connected spaces (Math. Nachrichten 82(1978), 121-129; Ann. Acad. Sci. Fenn. AI Math. 3 (1977), 185-205) and constitutes a mono-coreflective subcategory of TOP.
The fundamental topological algebras, which extend both locally convex and locally bounded concepts, have been introduced before. Here we introduce a class of fundamen-tal Q-algebras.
Let (X, τ, I) be an ideal topological space. For a subset A of X, a local function Γ*(A)(I, τ ) is defined as follows: Γ *(A)(I, τ ) = {x in X : A ∩ U not in I, for every regular open set U containing x}. This coincides with the δ-local functions due to Hatir et al. [2]. By using Γ* (A)(I, τ ), an operator Ψ_Γ* : P(X) → τ ^δ is defined as the dual of the δ-local func-tion and its relations with δ-codense ideals are investigated.