Fixed point theorem for a generalized contractive fuzzy mapping

2014 ◽  
Vol 26 (1) ◽  
pp. 33-36 ◽  
Author(s):  
Mujahid Abbas ◽  
Duran Turkoglu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Fuzzy Mapping

scholarly journals A fixed point theorem in a generalized fuzzy metric space

2014 ◽  
Vol 32 (2) ◽  
pp. 221 ◽  
Author(s):  
Binod Chandra Tripathy ◽  
Sudipta Paul ◽  
Nanda Ram Das
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Fuzzy Metric Space ◽  
Fuzzy Mapping ◽  
Fuzzy Metric

We prove a fixed point theorem for uniformly locally contractive fuzzy mapping in a generalized fuzzy metric space.

A NOTE ON FIXED POINT THEOREM FOR FUZZY MAPPINGS

2005 ◽  
Vol 13 (06) ◽  
pp. 613-617
Author(s):  
KANKANA CHAKRABARTY ◽  
SUDARSAN NANDA
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Fuzzy Mapping ◽  
The Fixed Point Theorem

This paper explores Heilpern's notions of fuzzy mapping and the fixed point theorem for fuzzy mappings. The fixed point theorem for fuzzy mappings as introduced by Heilpern has been generalized and some characterizations are done in this context.

scholarly journals Strategy of Fuzzy Mapping using Fixed Point Theorem

2019 ◽  
Vol 9 (1S6) ◽  
pp. 179-181
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Vector Space ◽  
Topological Vector Space ◽  
Point Theorem ◽  
Fuzzy Mapping ◽  
Parity Function ◽  
Mapping Process ◽  
The Fixed Point Theorem ◽  
Application Fields

To overcome the problems obtained due to non linearity, fixed point theorem. The main intent of this paper is to study the strategy of the fuzzy mapping using fixed point theorem. This fixed point theorem is mainly based on the topological vector space under the fixed selection. This fixed point theorem has convex structure which is in generalized way. This is used in various application fields. In this unity parity function is used to select the spaces available in fuzzy mapping process. The fixed point theorem using fuzzy mapping will improve and extend the classical results.

Solution of Volterra integral inclusion in b-metric spaces via new fixed point theorem

2016 ◽  
Vol 2017 (1) ◽  
pp. 17-30 ◽  
Author(s):  
Muhammad Usman Ali ◽  
◽  
Tayyab Kamran ◽  
Mihai Postolache ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Integral Inclusion

A generalization of Reich’s fixed point theorem for multi-valued mappings

Filomat ◽  
2017 ◽  
Vol 31 (11) ◽  
pp. 3295-3305 ◽  
Author(s):  
Antonella Nastasi ◽  
Pasquale Vetro
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Complete Metric Spaces ◽  
New Class ◽  
Banach Contraction ◽  
The Banach Contraction Principle

Motivated by a problem concerning multi-valued mappings posed by Reich [S. Reich, Some fixed point problems, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 57 (1974) 194-198] and a paper of Jleli and Samet [M. Jleli, B. Samet, A new generalization of the Banach contraction principle, J. Inequal. Appl. 2014:38 (2014) 1-8], we consider a new class of multi-valued mappings that satisfy a ?-contractive condition in complete metric spaces and prove some fixed point theorems. These results generalize Reich?s and Mizoguchi-Takahashi?s fixed point theorems. Some examples are given to show the usability of the obtained results.

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