A combinatorial proof of the Borsuk-Ulam antipodal point theorem

1989 ◽  
Vol 66 (1-3) ◽  
pp. 364-368 ◽  
Author(s):  
Benjamin Weiss
Keyword(s):  
Point Theorem ◽  
Combinatorial Proof ◽  
Antipodal Point

A NOTE ON BORSUK'S ANTIPODAL-POINT THEOREM

1956 ◽  
Vol 7 (1) ◽  
pp. 293-300
Author(s):  
M. W. DAVTES
Keyword(s):  
Point Theorem ◽  
Antipodal Point

An Antipodal-Point, Orthogonal-Point Theorem

1954 ◽  
Vol 60 (3) ◽  
pp. 502 ◽  
Author(s):  
B. A. Rattray
Keyword(s):  
Point Theorem ◽  
Antipodal Point

Fixed Point Theorem in Fuzzy Metric Space Satisfying Integral Inequality

2012 ◽  
Vol 3 (2) ◽  
pp. 305-307
Author(s):  
Geeta Modi ◽  
◽  
Arvind Gupta ◽  
Varun Singh
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Integral Inequality ◽  
Fuzzy Metric Space ◽  
Fuzzy Metric

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 general fixed point theorem of Ćirić type in quasi-partial metric spaces

2020 ◽  
Vol Accepted ◽  
Author(s):  
Alina-Mihaela Patriciu ◽  
Valeriu Popa
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Partial Metric ◽  
Partial Metric Spaces

FIXED POINT THEOREM FOR SOME GENERALIZED CONTRACTION IN b-METRIC SPACE

2020 ◽  
Vol 9 (7) ◽  
pp. 4353-4361
Author(s):  
R. Arora ◽  
P. K. Mishra ◽  
S. Bisht
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Generalized Contraction

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.

scholarly journals Investigation of the neutral fractional differential inclusions of Katugampola-type involving both retarded and advanced arguments via Kuratowski MNC technique

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Sina Etemad ◽  
Mohammed Said Souid ◽  
Benoumran Telli ◽  
Mohammed K. A. Kaabar ◽  
Shahram Rezapour
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Differential Inclusions ◽  
Measure Of Noncompactness ◽  
Research Work ◽  
Neutral System ◽  
Fractional Differential Inclusions ◽  
Kuratowski Measure Of Noncompactness ◽  
Fractional Differential

AbstractA class of the boundary value problem is investigated in this research work to prove the existence of solutions for the neutral fractional differential inclusions of Katugampola fractional derivative which involves retarded and advanced arguments. New results are obtained in this paper based on the Kuratowski measure of noncompactness for the suggested inclusion neutral system for the first time. On the one hand, this research concerns the set-valued analogue of Mönch fixed point theorem combined with the measure of noncompactness technique in which the right-hand side is convex valued. On the other hand, the nonconvex case is discussed via Covitz and Nadler fixed point theorem. An illustrative example is provided to apply and validate our obtained results.

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