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

This paper consists of several fixed point theorems in the fuzzy b-metric spaces. As an important result, we give a sufficient condition for a sequence to be Cauchy in the fuzzy b-metric space. Thus we simplify the proofs of many fixed point theorems in the fuzzy b-metric spaces with the well-known contraction conditions.

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On some new fixed point results in fuzzy b-metric spaces

We introduce some generalizations of the contractions for multi-valued mappings and establish some fixed point theorems for multi-valued mappings in b-metric spaces. Our results generalize and extend several known results in b-metric and metric spaces. Some examples are included which illustrate the cases when the new results can be applied while the old ones cannot. c ©2017 All rights reserved.

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On multi-valued weak quasi-contractions in b-metric spaces

In this note, we give a short proof of the recent results of Miculescu and Mihail (J Fixed Point Theory Appl 19:2153–2163, 2017) and Suzuki (J Inequal Appl 256:11, 2017) in b-metric spaces.

A note on the results of Suzuki, Miculescu and Mihail

In this paper, we revisit the renowned fixed point theorems belongs to Caristi and Banach. We propose a new fixed point theorem which is inspired from both Caristi and Banach. We also consider an example to illustrate our result.

https://www.mdpi.com/2227-7390/7/4/308/pdf

A Proposal for Revisiting Banach and Caristi Type Theorems in b-Metric Spaces

The main aim of the current paper is the investigation of possibilities for improvements and generalizations contractive condition of Ciric in the fuzzy metric spaces. Various versions of fuzzy contractive conditions are studied in two directions. First, motivated by recent results, more general contractive conditions in fuzzy metric spaces are achieved and secondly, quasi-contractive type of mappings are investigated in order to obtain fixed point results with a wider class of t-norms.

Zoran D. Mitrović

Papers

On some new fixed point results in fuzzy b-metric spaces

On multi-valued weak quasi-contractions in b-metric spaces

A note on the results of Suzuki, Miculescu and Mihail

A Proposal for Revisiting Banach and Caristi Type Theorems in b-Metric Spaces

Some Fixed Point Theorems of Ćirić Type in Fuzzy Metric Spaces