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A generalization of Matthews partial metric space and fixed point theorems

100%

Antal A. , Gairola U. C. , Khantwal D. , Matkowski J. , Negi S.

Fasciculi Mathematici

2021

tom nr 65

5--15

In the present paper, we introduce the notion of a generalized partial metric space which is an extension of the partial metric space due to S. G. Matthews (Partial metric topology, Papers on general topology and applications, Ann. New York Acad. Sci.,728 (1994), 183-197). We investigate some basic properties of the generalized partial metric spaces and establish some new fixed point theorems for linear and non-linear contraction on such spaces.

Common fixed point theorems for variants of R-weakly commuting mappings in topologically complete tychonoff (uniform) spaces

88%

Kohli J. K. , Kumar D.

2012

tom Vol. 45, nr 1

169-178

Three variants of R-weakly commuting mappings in the realm of uniform spaces are defined. Examples are included to reflect upon the distinctiveness of the notions so defined. Common fixed point theorems concerning these variants of R-weakly commuting mappings in the framework of uniform spaces are obtained. This generalizes several known results in the literature including those of Granas and Dugundji [3], Tarafdar [12] and others. Moreover, as a bi-product we obtain several common fixed point theorems which are well in contrast with a common fixed point theorem of Jungck [4] who proved the same for commuting mappings.

Coincidence theorems in random normed spaces

63%

Bylka C.

Fasciculi Mathematici

1998

tom Nr 28

9-18

A pro.babilistic versuion of Meir and Keeler fixed point theorem and a generalization of Park' s coincidence theorem in random normed spaces are presented.

Initial and boundary value problems for fuzzy differential equations

63%

Murty M. , Kumar G.

2007

tom Vol. 40, nr 4

827-838

This paper deals with the study of existence and uniqueness criteria for initial and boundary value problems associated with fuzzy differential equations of first and second order with the help of a modified Lipschitz condition.

On a nonlinear difference equation with variable delay

51%

Huong D. C. , Mau N. V.

Demonstratio Mathematica

2013

tom Vol. 46, nr 1

123--135

In this paper, some results on the equi-boundedness of solutions, the stability of the zero and the existence of positive periodic solutions of nonlinear difference equation with variable delay (…) are obtained.