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Remarks on best approximations in generalized convex spaces

100%

Mitrović Z. D.

Journal of Applied Analysis

2006

tom Vol. 12, nr 2

181-188

In this paper, we prove a best approximation theorem in generalized convex spaces. As an application, we derive a result on the existence of a maximal element and a coincidence point theorem in generalized convex spaces. The results of this paper generalize some known results in the literature.

On some recent fixed point results for single and multi-valued mappings in b-metric spaces

51%

Aleksić S. , Mitrović Z. D. , Radenović S.

Fasciculi Mathematici

2018

tom Nr 61

5--16

The main purpose of this paper is to improve and correct some results in b-metric spaces. Moreover, we prove that some results can be slightly relaxed and also we explore some proof techniques which provide short proofs of the results.