scholarly journals On Darbo-Sadovskii's fixed point theorems type for abstract measures of (weak) noncompactness

2015 ◽  
Vol 22 (5) ◽  
pp. 797-812 ◽  
Author(s):  
Jesús Garcia-Falset ◽  
Khalid Latrach
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Measures Of Weak Noncompactness

scholarly journals Generalized form of fixed point theorems in Banach algebras under weak topology with an application

Filomat ◽  
2019 ◽  
Vol 33 (13) ◽  
pp. 4281-4296
Author(s):  
Najib Kaddachi
Keyword(s):  
Fixed Point ◽  
Weak Topology ◽  
Fixed Point Theorems ◽  
Banach Algebras ◽  
Coupled System ◽  
Operator Matrix ◽  
Multivalued Maps ◽  
Nonlinear Integral Equations ◽  
Block Operator ◽  
Measures Of Weak Noncompactness

In this manuscript, by means of the technique of measures of weak noncompactness, we establish a generalized form of fixed point theorems for a 2 x 2 block operator matrix involving multivalued maps acting on suitable Banach algebras. The results obtained are then applied to a coupled system of nonlinear integral equations.

scholarly journals Fixed point theorems in WC-Banach algebras and their applications to infinite systems of integral equations

Filomat ◽  
2020 ◽  
Vol 34 (8) ◽  
pp. 2763-2784
Author(s):  
Józef Banaś ◽  
Bilel Krichen ◽  
Bilel Mefteh
Keyword(s):  
Fixed Point ◽  
Integral Equations ◽  
Fixed Point Theorems ◽  
Infinite System ◽  
Lipschitz Continuity ◽  
Banach Algebras ◽  
Nonlinear Integral Equations ◽  
Systems Of Integral Equations ◽  
Sequential Continuity ◽  
Measures Of Weak Noncompactness

The paper is devoted to prove a few fixed point theorems for operators acting in WC-Banach algebras and satisfying some conditions expressed in terms of a generalized Lipschitz continuity and measures of weak noncompactness. Moreover, the assumptions imposed on the mentioned operators are formulated with help of weak topology and weak sequential continuity. Our fixed point results will be illustrated by proving the existence of solutions of an infinite system of nonlinear integral equations.

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
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