[PDF] Top 20 A minimization theorem in quasi metric spaces and its applications

... Theorem 2.5 . Let (X,d) be left k -sequentially complete quasi metric space such that for each x ∈ X the mapping u → d(x,u) is a lower semicontinuous on X . Let f : X → (−∞,∞] be a proper weak lower ... See full document

... point theorem in all of ...of metric spaces such as rectangular metric spaces, pseudo metric spaces, fuzzy metric spaces, quasi metric ... See full document

... the applications of soft sets, such as smoothness of functions, game theory, operations research, Riemann-integration, Perron integration, probability, theory of measurement and so ...and its ... See full document

... nonconvex minimization theorem of Takahashi [], of Caristi’s fixed point theorem [] and of Ekeland’s variational principle [], as well as a general fixed point theorem that improves fixed ... See full document

... fuzzy metric spaces in several ...fuzzy metric spaces are Badard [1] and Bose and Sahani [2] for fuzzy ...a metric space in fuzzy topology. Coincidence point and minimization ... See full document

... of Theorem  to preordered fuzzy quasi-metric spaces which is applied to deduce, among other results, a procedure to show in a direct and easy way the existence of solution for the recurrence ... See full document

... complete quasi-metric space for which Theorem  does not ...nevertheless, Theorem  remains valid for complete quasi- metric ...complete quasi-metric spaces ... See full document

... Some problems, particularly the problem of the convergence of measurable functions with respect to a measure, lead to a generalization of notion of a metric. Using this idea, Czerwik [5] presented a generalization ... See full document

... Here, we study the existence of the bounded solution of the functional equation (). Let B(Z) denote the set of all bounded real-valued functions on W and, for an arbitrary h ∈ B(Z), define h = sup x∈Z |h(x)|. Clearly, ... See full document

... standard metric spaces, b-metric spaces, dislocated metric spaces, and modular spaces due to the recent work of Jleli and ...´Ciri´c quasi-contraction-type mappings ... See full document

... In this paper, we give some generalizations of the functional type Caristi-Kirk theorem (see Functional Type Caristi-Kirk Theorems, 2005) for two mappings on metric spaces. We investigate the ... See full document

... In view of Lemma 1.1, we conclude that F (d(x ∗ , w), 0, 0) = 0 so that d(x ∗ , w) = 0, that is x ∗ = w. Hence, the ϕ-best proximity point of T is unique. This concludes the proof. Remark 2.1. Notice that for any F ∈ F ... See full document

... fuzzy metric space using fuzzy ...2-metric spaces using fuzzy ...2-metric spaces as an extension of fuzzy metric spaces studied by Ming [4] which are essentially a kind of ... See full document

... The purpose of this paper is to give positive answers to questions concerning ´ Ciri´ c type quasi- contractions in rectangular b -metric spaces proposed in George et al.. Introduction a[r] ... See full document

... In recent years, a number of generalizations of the above Banach contraction principle have appeared. Of all these, the following generalization of Ćirić [] stands at the top. Theorem . Let (X, d) be a complete ... See full document

... Fixed point theory is one of the most dynamic research area and has many applications in differential and integral equations. The most impressing result in this area was given by Banach in 1922. This result is ... See full document

... Theorem  Let (X, d) be a complete cone metric space over a solid cone P of a normed vector space (E, · ) and T : X → X a quasi-contraction restricted with a linear bounded mapping. If the spectral ... See full document

... point theorem for quasi-contractions on D*-metric spaces and obtain certain ...point theorem for quasi-contractions on metric spaces, proved by ...of ... See full document

... point theorems under φ-contractions for compatible and weakly compatible mappings on Menger probabilistic metric spaces. Moreover, Elagan and Segi Rahmat [] studied the existence of a fixed point in ... See full document

... of quasi-nonexpansive mapping was ini- tiated by Tricomi in 1941 for real ...Banach spaces. Recently, this concept was given by Kirk [10] in metric spaces as follows: ... See full document