Matching theorems on topological spaces

In this paper we give one general matching theorem and some its applications in the fixed point theory. Our results generalize earlier theorems obtained by Horvath, Chang - Zhang and Chang - Ma

On Boyd-Wong-type fixed point results

This talk (paper) gives a survey of recent results in the theory of Boyd-Wong-type contractions and its aim is to present a simple and unified treatment to this theory. In final part of paper, we present one recent fixed point result for Boyd-Wong-type contractions defined on symmetric spaces

On Boyd-Wong-type fixed point results

This talk (paper) gives a survey of recent results in the theory of Boyd-Wong-type contractions and its aim is to present a simple and unified treatment to this theory. In final part of paper, we present one recent fixed point result for Boyd-Wong-type contractions defined on symmetric spaces

A note on the Sorgenfrey line

In this paper, by using Cantor’s principle of nested intervals, we give a new and simple proof that the Sorgenfrey line is a topological space of the second Baire category. One application of this result in asymptotic analysis is also given

On a fixed point theorem of Kirk

W.A. Kirk [J. Math. Anal. Appl. 277 (2003) 645-650] first introduced the notion of asymptotic contractions and proved the fixed point theorem for this class of mappings. In this note we present a new short and simple proof of Kirk's theorem

On a fixed point theorem of Kirk

W.A. Kirk [J. Math. Anal. Appl. 277 (2003) 645-650] first introduced the notion of asymptotic contractions and proved the fixed point theorem for this class of mappings. In this note we present a new short and simple proof of Kirk's theorem

On a fixed point theorem of Kirk

W.A. Kirk [J. Math. Anal. Appl. 277 (2003) 645-650] first introduced the notion of asymptotic contractions and proved the fixed point theorem for this class of mappings. In this note we present a new short and simple proof of Kirk's theorem

On de Haan's uniform convergence theorem

In [Univ. Beograd Publ. Elektrotehn. Fak. Ser. Math. 15 (2004), 85-86], we proved a new inequality for the Lebesgue measure and gave some applications. Here, we present as it new application new short and simple proof of de Haan's uniform convergence theorem.

An inequality for the Lebesgue measure

In this paper we present a new inequality for the Lebesgue measure and give some of its applications

An inequality for the Lebesgue measure

In this paper we present a new inequality for the Lebesgue measure and give some of its applications