다중혈관 관상동맥 환자에서 y-문합을 이용하여 양쪽 내흉동맥만을 사용한 우회술의 조기 성적

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Convex Analysisの二,三の進展について

Some Results on Fixed Points

The concept of rectangular b-metric space is introduced as a generalization of metric space, rectangular
metric space and b-metric space. An analogue of Banach contraction principle and Kannan's xed point
theorem is proved in this space. Our result generalizes many known results in xed point theory.

مستطيلة-ب متري المساحات ومبادئ الانكماش / Rectangular b-metric spaces and contraction principles

This study is devoted to the development of alternative conditions for existence and uniqueness of nonlinear fractional differential equations of higher-order with integral and multi-point boundary conditions. It uses a novel approach of employing a fixed point theorem based on contractive iterates of the integral operator for the corresponding fixed point problem. We start with developing an existence-uniqueness theorem for self-mappings with contractive iterate in a b-metric-like space. Then, we obtain the unique solvability of the problem under suitable conditions by utilizing an appropriate b-metric-like space.

Uniqueness of solution for higher-order nonlinear fractional differential equations with multi-point and integral boundary conditions

We initiate the notion of generalized MT- cyclic contraction mappings with respect to an auxiliary function φ and investigate the existence of a best proximity point of such mappings in the setting...

Best Proximity Points of MT-Cyclic Contractions with Property UC

The purpose of this new survey paper is, among other things, to collect in one place most of the articles on cone (abstract, K-metric) spaces, published after 2007. This list can be useful to young researchers trying to work in this part of functional and nonlinear analysis. On the other hand, the existing review papers on cone metric spaces are updated. 
The main contribution is the observation that it is usually redundant to treat the case when the underlying cone is solid and non-normal. Namely, using simple properties of cones and Minkowski functionals, it is shown that the problems can be usually reduced to the case when the cone is normal, even with the respective norm being monotone. Thus, we offer a synthesis of the respective fixed point problems arriving at the conclusion that they can be reduced to their standard metric counterparts. However, this does not mean that the whole theory of cone metric spaces is redundant, since some of the problems remain which cannot be treated in this way, which is also shown in the present article.

A new survey: Cone metric spaces

The main purpose of this paper is to generalize, improve and complement several famous results in b-metric spaces. Moreover, an essential estimation of b-quasi-contraction in b-metric spaces is given. We also establish some new results for multi-valued mappings in the metric and b-metric concept. We explore some different proof techniques which provide short proofs of the results.

Remarks on some fixed point results in b-metric spaces

In this paper, the concept of $b_v(s)$-metric space is introduced as a generalization of metric space, rectangular metric space, b-metric space, rectangular b-metric space and v-generalized metric space. We next give proofs of the Banach and Reich contraction principles in $b_v(s)$-metric spaces. Using a new result, we provide short proofs which are different from of the original ones in metric spaces. The results we obtain generalize many known results in fixed point theory. We also provide a solution to an open problem.

The Banach and Reich contractions in $$\varvec{b_v(s)}$$-metric spaces

The purpose of this article is to provide much simpler and shorter proofs of some important results in the framework of b-metric spaces. Namely, we show that the given contractive condition implies b-Cauchyness of the corresponding Picard sequence. The obtained results improve well-known comparable results in the literature.

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Zoran D. Mitrović

Papers

Best Proximity Points of MT-Cyclic Contractions with Property UC

A new survey: Cone metric spaces

Remarks on some fixed point results in b-metric spaces

The Banach and Reich contractions in $$\varvec{b_v(s)}$$-metric spaces

Picard sequences in b-metric spaces