Review Article - A study of some fixed point
theorems for various types of maps

Masroor Mohammad; Rizwana Jamal; Qazi Aftab Kabir

doi:https://doi.org/10.14445/22315373/IJMTT-V39P503

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 39 | Number 1 | Year 2016 | Article Id. IJMTT-V39P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V39P503

Review Article - A study of some fixed point theorems for various types of maps

Masroor Mohammad, Rizwana Jamal, Qazi Aftab Kabir

Abstract

Fixed point theory off course entails the search for a combination of conditions on a set S and a mapping T : S → S which, in turn, assures that T leaves at least one point of S fixed, i.e. x = T( x ) for some x ϵ S. The theory has several rather well-defined (yet overlapping) branches. The purely topological theory as well as those topics which lie on the borderline of topology and functional analysis (e.g. those related to Leray-Schauder theory) have their roots in the celebrated theorem of L. E. J. Brouwer. This paper presents a review of the available literature on fixed point theorems for various types of maps.

Keywords

Fixed point theorems, multivalued mappings, nonexpansive mappings.

References

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Citation :

Masroor Mohammad, Rizwana Jamal, Qazi Aftab Kabir, "Review Article - A study of some fixed point theorems for various types of maps," International Journal of Mathematics Trends and Technology (IJMTT), vol. 39, no. 1, pp. 18-21, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V39P503