scholarly journals Jachymski-Matkowski-Świątkowski's fixed point theorem

2019 ◽  
Vol 13 (2) ◽  
pp. 632-642
Author(s):  
Tomonari Suzuki
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Additional Assumption ◽  
Semimetric Spaces

We improve Jachymski-Matkowski-?wi?tkowski's fixed point theorem for contractions in semimetric spaces with some additional assumption. We prove another fixed point theorem for contractions.

scholarly journals Characterization of  ∑-Semicompleteness via Caristi’s Fixed Point Theorem in Semimetric Spaces

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Tomonari Suzuki
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Banach Contraction Principle ◽  
Caristi’S Fixed Point Theorem ◽  
Banach Contraction ◽  
Semimetric Spaces ◽  
The Banach Contraction Principle ◽  
Caristi's Fixed Point Theorem

Introducing the concept of ∑-semicompleteness in semimetric spaces, we extend Caristi’s fixed point theorem to ∑-semicomplete semimetric spaces. Via this extension, we characterize ∑-semicompleteness. We also give generalizations of the Banach contraction principle.

scholarly journals Fixed point theorems for contractions in semicomplete semimetric spaces

2018 ◽  
Vol 34 (2) ◽  
pp. 269-275
Author(s):  
TOMONARI SUZUKI ◽  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Semimetric Space ◽  
Semimetric Spaces

We introduce the concept of semicompleteness on semimetric space, which is weaker than completeness. We prove fixed point theorems for contractions in semicomplete semimetric spaces. Also, we generalize JachymskiMatkowski-Swia¸ tkowski’s fixed point theorem in semimetric spaces.

scholarly journals Subordinate Semimetric Spaces and Fixed Point Theorems

2018 ◽  
Vol 2018 ◽  
pp. 1-5 ◽  
Author(s):  
José Villa-Morales
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Generalized Metric Space ◽  
Generalized Metric ◽  
Semimetric Space ◽  
Semimetric Spaces ◽  
Matkowski’S Fixed Point Theorem

We introduce the concept of subordinate semimetric space. Such notion includes the concept of RS-space introduced by Roldán and Shahzad; therefore the concepts of Branciari’s generalized metric space and Jleli and Samet’s generalized metric space are particular cases. For such spaces we prove a version of Matkowski’s fixed point theorem, and introducing the concept of q-contraction we get a fixed point theorem of Kannan-Ćirić type. Moreover, using such result we characterize complete subordinate semimetric spaces.

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
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