The extension of fixed point theorems for set valued mapping

2003 ◽  
Vol 13 (1-2) ◽  
pp. 277-286 ◽  
Author(s):  
Yimin Shi ◽  
Limei Ren ◽  
Xuyan Wang
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Set Valued Mapping

scholarly journals Fixed Point Theorems for Asymptotically Contractive Multimappings

2012 ◽  
Vol 2012 ◽  
pp. 1-12
Author(s):  
M. Djedidi ◽  
K. Nachi
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Convex Subset ◽  
Fixed Point Theorems ◽  
Reflexive Banach Space ◽  
Existence Results ◽  
Coincidence Points ◽  
Set Valued Mapping ◽  
Asymptotic Contraction

We present fixed point theorems for a nonexpansive set-valued mapping from a closed convex subset of a reflexive Banach space into itself under some asymptotic contraction assumptions. Some existence results of coincidence points and eigenvalues for multimappings are given.

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.)

scholarly journals On some weak conditions of commutativity in common fixed point theorems

1988 ◽  
Vol 11 (2) ◽  
pp. 289-296 ◽  
Author(s):  
M. Imdad ◽  
M. S. Khan ◽  
S. Sessa
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Complete Metric Spaces ◽  
Set Valued Mapping ◽  
Common Fixed Point Theorems ◽  
Weak Commutativity

We generalize common fixed point theorems of Fisher and Sessa in complete metric spaces, using some conditions of weak commutativity between a set-valued mapping and a single-valued mapping. Suitable examples prove that these conditions do not imply each of the others.

scholarly journals Coincidence points in θ - metric spaceS

2021 ◽  
Vol 20 ◽  
pp. 50-55
Author(s):  
Maha Mousa ◽  
Salwa Salman Abed
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Coincidence Points ◽  
Set Valued Mapping

In this paper, inspired by the concept of metric space, two fixed point theorems for α−set-valued mapping T:₳ → CB(₳), h θ (Tp,Tq) ≤ α(dθ(p,q)) dθ(p,q), where α: (0,∞) → (0, 1] such that α(r) < 1, ∀ t ∈ [0,∞) ) are given in complete θ −metric and then extended for two mappings with R-weakly commuting property to obtain a common coincidence point.

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
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