scholarly journals Coincidence and invariant approximation theorems for generalizedf-nonexpansive multivalued mappings

2006 ◽  
Vol 2006 ◽  
pp. 1-18 ◽  
Author(s):  
A. R. Khan ◽  
F. Akbar ◽  
N. Sultana ◽  
N. Hussain
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Substantial Improvement ◽  
Multivalued Mappings ◽  
Random Coincidence ◽  
Approximation Theorems ◽  
Invariant Approximation ◽  
Point Invariant ◽  
Common Fixed Point Theorems

The main purpose of this paper is to prove some new coincidence and common fixed point theorems for noncommuting generalizedf-nonexpansive multivalued mappings on non-starshaped domain in the framework of a Banach space. As applications, related common fixed point, invariant approximation, and random coincidence point results are established. This work provides extension as well as substantial improvement of several results in the existing literature.

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

scholarly journals Some Generalized Contraction Classes and Common Fixed Points in b-Metric Space Endowed with a Graph

Mathematics ◽  
2019 ◽  
Vol 7 (8) ◽  
pp. 754 ◽  
Author(s):  
Reny George ◽  
Hossam A Nabwey ◽  
Rajagopalan Ramaswamy ◽  
Stojan Radenović
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Admissible Pair ◽  
Common Fixed Points ◽  
Multivalued Mappings ◽  
Generalized Contraction ◽  
Rational Contraction ◽  
Common Fixed Point Theorems

We have introduced the new notions of R-weakly graph preserving and R-weakly α -admissible pair of multivalued mappings which includes the class of graph preserving mappings, weak graph preserving mappings as well as α -admissible mappings of type S, α * -admissible mappings of type S and α * - orbital admissible mappings of type S respectively. Some generalized contraction and rational contraction classes are also introduced for a pair of multivalued mappings and common fixed point theorems are proved in a b-metric space endowed with a graph. We have also applied our results to obtain common fixed point theorems for R-weakly α -admissible pair of multivalued mappings in a b-metric space which are the proper extension and generalization of many known results. Proper examples are provided in support of our results. Our main results and its consequences improve, generalize and extend many known fixed point results existing in literature.

scholarly journals Some common fixed point theorems for Ciric type contraction mappings

2012 ◽  
Vol 43 (2) ◽  
pp. 187-202
Author(s):  
Sumit Chandok
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contraction Mappings ◽  
Invariant Approximation ◽  
Convex Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Type Contraction

Some common fixed point theorems for \'{C}iri\'{c} type contraction mappings have been obtained in convex metric spaces. As applications, invariant approximation results for these type of mappings are obtained. The proved results generalize, unify and extend some of the results of the literature.

scholarly journals C*-Algebra Valued Fuzzy Soft Metric Spaces and Results for Hybrid Pair of Mappings

Axioms ◽  
2019 ◽  
Vol 8 (3) ◽  
pp. 99
Author(s):  
Ram Daripally ◽  
Naveen Gajula ◽  
Hüseyin Işık ◽  
Srinuvasa Bagathi ◽  
Adi Gorantla
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Coupled Fixed Point ◽  
Multivalued Mappings ◽  
C Algebra ◽  
Hybrid Pair ◽  
Common Fixed Point Theorems

In this paper, we establish some results on coincidence point and common fixed point theorems for a hybrid pair of single valued and multivalued mappings in complete C * -algebra valued fuzzy soft metric spaces. In addition, we provided some coupled fixed point theorems. Finally, we have given examples which support our main results.

scholarly journals Common fixed point of multivalued mappings in ordered generalized metric spaces

Filomat ◽  
2012 ◽  
Vol 26 (5) ◽  
pp. 1045-1053 ◽  
Author(s):  
Mujaid Abbas ◽  
Rahim Khan ◽  
Talat Nazir
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Necessary Conditions ◽  
Multivalued Mappings ◽  
Multivalued Maps ◽  
Generalized Metric Spaces ◽  
Generalized Metric ◽  
Common Fixed Point Theorems

In this paper, study of necessary conditions for the existence of common fixed point of multi- valued mappings satisfying generalized contractive conditions in the setting of ordered generalized metric spaces is initiated. Examples to support our results are presented. These results establish most general common fixed point theorems for multivalued maps in ordered generalized metric spaces.

scholarly journals Common Fixed Point Theorems of Generalized Multivalued (ψ,ϕ)-Contractions in Complete Metric Spaces with Application

Mathematics ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 194 ◽  
Author(s):  
Eskandar Ameer ◽  
Muhammad Arshad ◽  
Dong Shin ◽  
Sungsik Yun
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Functional Equations ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Existence Of Solution ◽  
Multivalued Mappings ◽  
System Of Functional Equations ◽  
Complete Metric Spaces ◽  
Common Fixed Point Theorems

The purpose of this paper is to introduce the notion of generalized multivalued ψ , ϕ -type contractions and generalized multivalued ψ , ϕ -type Suzuki contractions and establish some new common fixed point theorems for such multivalued mappings in complete metric spaces. Our results are extension and improvement of the Suzuki and Nadler contraction theorems, Jleli and Samet, Piri and Kumam, Mizoguchi and Takahashi, and Liu et al. fixed point theorems. We provide an example for supporting our new results. Moreover, an application of our main result to the existence of solution of system of functional equations is also presented.

Sign in / Sign up

Export Citation Format

Share Document