scholarly journals Extensions of Minimization Theorems and Fixed Point Theorems on a Quasimetric Space

2008 ◽  
Vol 2008 (1) ◽  
pp. 230101
Author(s):  
JeongSheok Ume
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Quasimetric Space

scholarly journals q-Hyperconvexity in Quasipseudometric Spaces and Fixed Point Theorems

2012 ◽  
Vol 2012 ◽  
pp. 1-18 ◽  
Author(s):  
Hans-Peter A. Künzi ◽  
Olivier Olela Otafudu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Set Valued Mapping ◽  
Quasimetric Space

In a previous work, we started investigating the concept of hyperconvexity in quasipseudometric spaces which we calledq-hyperconvexity or Isbell-convexity. In this paper, we continue our studies of this concept, generalizing further known results about hyperconvexity from the metric setting to our theory. In particular, in the present paper, we consider subspaces ofq-hyperconvex spaces and also present some fixed point theorems for nonexpansive self-maps on a boundedq-hyperconvex quasipseudometric space. In analogy with a metric result, we show among other things that a set-valued mappingT∗on aq-hyperconvexT0-quasimetric space (X, d) which takes values in the space of nonempty externallyq-hyperconvex subsets of (X, d) always has a single-valued selectionTwhich satisfiesd(T(x),T(y))≤dH(T∗(x),T∗(y))wheneverx,y∈X. (Here,dHdenotes the usual (extended) Hausdorff quasipseudometric determined bydon the set𝒫0(X)of nonempty subsets ofX.)

Coupled fixed point theorems in quasimetric spaces without mixed monotonicity

2019 ◽  
Vol 35 (2) ◽  
pp. 185-192
Author(s):  
ADRIAN PETRUSEL ◽  
◽  
GABRIELA PETRUSEL ◽  
JEN-CHIH YAO ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Coupled Fixed Point ◽  
Monotonicity Property ◽  
Closed Set ◽  
Quasimetric Space

In this paper, using the concepts of f-closed set and inverse f-closed set, we will prove some fixed point theorems for graphic contractions in complete quasimetric space. Then, as applications, coupled fixed point theorems in quasimetric spaces without the mixed monotonicity property are obtained.

Some Common Fixed Point Theorem in Complete Metric Space of Integral Type

2018 ◽  
Vol 6 (8) ◽  
pp. 297
Author(s):  
Jagdish C. Chaudhary ◽  
Shailesh T. Patel
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Complete Metric Space ◽  
Contractive Condition ◽  
Integral Type ◽  
Complete Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

In this paper, we prove some common fixed point theorems in complete metric spaces for self mapping satisfying a contractive condition of Integral  type.

Ciric Fixed Point Theorems in T- Orbitally Complete Spaces with n-quasi contraction

2017 ◽  
Vol 5 (10) ◽  
pp. 140-143
Author(s):  
P.L. Powar ◽  
◽  
◽  
◽  
G.R.K. Sahu ◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems

COMMON FIXED POINT THEOREMS FOR CR-ITERATION SCHEME IN THREE MULTIVALUED MAPPINGS

2018 ◽  
Vol 7 (3) ◽  
pp. 51
Author(s):  
KUMAR DAS APURVA ◽  
DHAR DIWAN SHAILESH ◽  
JAIN SWATI ◽  
◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Iteration Scheme ◽  
Multivalued Mappings ◽  
Common Fixed Point Theorems
Sign in / Sign up

Export Citation Format

Share Document