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Some Fixed Point Theorems for Kannan Mappings

Tejpal, Shavetambry, Narang, T. D. (2010)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: Primary: 47H10; Secondary: 54H25.Some results on the existence and uniqueness of fixed points for Kannan mappings on admissible subsets of bounded metric spaces and on bounded closed convex subsets of complete convex metric spaces having uniform normal structure are proved in this paper. These results extend and generalize some results of Ismat Beg and Akbar Azam [Ind. J. Pure Appl. Math. 18 (1987), 594-596], A. A. Gillespie and B. B. Williams [J. Math. Anal....

Some fixed point theorems in generating spaces of quasi-metric family

M.H.M. Rashid (2017)

Archivum Mathematicum

The aim of this paper is to introduce the concepts of compatible mappings and compatible mappings of type ( R ) in non-Archimedean Menger probabilistic normed spaces and to study the existence problems of common fixed points for compatible mappings of type ( R ) , also, we give an applications by using the main theorems.

Some fixed point theorems in metric spaces by altering distances

S. V. R. Naidu (2003)

Czechoslovak Mathematical Journal

A generalization is obtained for some of the fixed point theorems of Khan, Swaleh and Sessa, Pathak and Rekha Sharma, and Sastry and Babu for a self-map on a metric space, which involve the idea of alteration of distances between points.

Some homotopy theoretical questions arising in Nielsen coincidence theory

Ulrich Koschorke (2009)

Banach Center Publications

Basic examples show that coincidence theory is intimately related to central subjects of differential topology and homotopy theory such as Kervaire invariants and divisibility properties of Whitehead products and of Hopf invariants. We recall some recent results and ask a few questions which seem to be important for a more comprehensive understanding.

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