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

In this study, we have new fixed point results for weak contraction mappings in complete and partially ordered b-metric spaces. Our findings expand and generalize the results of Jachymski and Mituku et al and many more results in the literature as well. To illustrate our work, we present an application on the existence and uniqueness of a nonlinear quadratic integral problem solution. Moreover, an open problem is presented to enable the scope for future research in this area. 

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Fixed Point Theorems of Almost Generalized Contractive Mappings in b-Metric Spaces and an Application to Integral Equation

In this paper, we obtained the form of the best approximation theorem of Prolla. Our result extends some results in literature.

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Remark on a Theorem of Prolla

Solving existence problems via contractions in expanded b-metric spaces

In this paper, we present some results on the existence and uniqueness of common fixed points on d*-complete topological spaces. Our results generalize and improve upon earlier results in the literature. Finally, we give some examples in lp spaces, (p∈(0,1)), where we use the obtained results.

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The Results of Common Fixed Points in b-Metric Spaces

Darbo type $ \mathcal{Z}_{\rm{m}} $-contraction and Darbo type $ \mathcal{L}_{\rm{m}} $-contraction are introduced and some fixed point results are established for such contraction mappings. As an application, we prove the existence of solution of a Caputo fractional Volterra-Fredholm integro-differential equation via integral type boundary conditions and verify the validity of our application by an appropriate example.

Zoran D. Mitrović

Papers

Fixed Point Theorems of Almost Generalized Contractive Mappings in b-Metric Spaces and an Application to Integral Equation

Remark on a Theorem of Prolla

Solving existence problems via contractions in expanded b-metric spaces

The Results of Common Fixed Points in b-Metric Spaces

Darbo-Type $ \mathcal{Z}_{\rm{m}} $ and $ \mathcal{L}_{\rm{m}} $ contractions and its applications to Caputo fractional integro-differential equations