Review Article - A study of some fixed point theorems for various types of maps (original) (raw)

Fixed point theorems for single-valued and multi-valued maps

Nonlinear Analysis: Theory, Methods & Applications, 2011

a b s t r a c t Coincidence and fixed point theorems for single-valued and multi-valued maps generalizing recent results of Suzuki and Kikkawa are obtained. Various applications, including the existence of common solutions of certain functional equations are presented.

A fixed-point theorem for single-valued mappings defined on a topological space

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti, 1975

IVAR Massabò, A fixed-point theorem fo r single-valued mappings, ecc. 559 Topologia.-A fixed-point theorem fo r single-valued mappings defined on a topological space (*}. Nota di I v a r M a s s a b ò , presen tata (**} dal Socio G. S a n s o n e. RIASSUNTO.-Scopo di questa Nota è quello di mostrare come con la nozione di <pcoerenza, introdotta da Furi e Vignoli [7], si possano ottenere molti dei teoremi sull'esistenza del punto fisso.

Existence of fixed points of mappings on general topological spaces

Filomat, 2014

The existence of fixed points for continuous mappings on general topological spaces via compact subsets is proved. All our results presented here are new and are generalizations, extensions and improvements of the corresponding results due toĆirić, Jungck, Liu and many others . Further, certain results due toĆirić are improved and extended to topological spaces which are not necessarily Hausdorff and completely regular.

A Review of the Some Fixed Point Theorems for Different Kinds of Maps

Ibn AL-Haitham Journal For Pure and Applied Sciences

The focus of this article, reviewed a generalized of contraction mapping and nonexpansive maps and recall some theorems about the existence and uniqueness of common fixed point and coincidence fixed-point for such maps under some conditions. Moreover, some schemes of different types as one-step schemes ,two-step schemes and three step schemes (Mann scheme algorithm, Ishukawa scheme algorithm, noor scheme algorithm, .scheme algorithm, scheme algorithm Modified scheme algorithm arahan scheme algorithm and others. The convergence of these schemes has been studied .On the other hands, We also reviewed the convergence, valence and stability theories of different types of near-plots in convex metric space.

A common fixed point theorem for nonself mappings

Miskolc Mathematical Notes

A. A general common fixed point theorem for nonself discontinuous mappings is given. It contains, as particular cases, many classical and recent results in fixed point theory.

Fixed point results for generalized mappings

Fixed Point Theory and Applications, 2014

In this paper, first we establish fixed point results for weak asymptotic pointwise contraction type mappings in metric spaces. Then we study the existence of fixed points for weak asymptotic pointwise nonexpansive type mappings in CAT(0) spaces. Our results improve and extend some corresponding known results in the literature.