scholarly journals Fixed Point Theorems for Multivalued Mappings Involvingα-Function

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Muhammad Usman Ali ◽  
Quanita Kiran ◽  
Naseer Shahzad
Keyword(s):  
Fixed Point ◽  
Error Estimates ◽  
Fixed Point Theorems ◽  
Multivalued Mappings ◽  
Type Condition ◽  
Contractive Type

We obtain some fixed point theorems with error estimates for multivalued mappings satisfying a newα-ψ-contractive type condition. Our theorems generalize many existing fixed point theorems, including some fixed point theorems proved forα-ψ-contractive type conditions.

scholarly journals Random fixed point theorems for contractive type multifunctions

2005 ◽  
Vol 78 (2) ◽  
pp. 211-220 ◽  
Author(s):  
Ghulam Mustafa
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Multivalued Mappings ◽  
Random Coincidence ◽  
Random Fixed Point ◽  
Complete Metric Spaces ◽  
Contractive Type

AbstractSome new random coincidence point and random fixed point theorems for multivalued mappings in separable complete metric spaces are proved. The results presented in this paper are the stochastic versions of corresponding results of Chang and Peng and extend the result of the author.

scholarly journals Common Fixed Point for Self-Mappings Satisfying an Implicit Lipschitz-Type Condition in Kaleva-Seikkala's Type Fuzzy Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-10
Author(s):  
Ming-Liang Song ◽  
Xiu-Juan Zhu
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Function Class ◽  
Type Condition ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Contractive Type ◽  
Common Fixed Point Theorems

We first introduce the new real function classℱsatisfying an implicit Lipschitz-type condition. Then, by usingℱ-type real functions, some common fixed point theorems for a pair of self-mappings satisfying an implicit Lipschitz-type condition in fuzzy metric spaces (in the sense of Kaleva and Seikkala) are established. As applications, we obtain the corresponding common fixed point theorems in metric spaces. Also, some examples are given, which show that there exist mappings which satisfy the conditions in this paper but cannot satisfy the general contractive type conditions.

scholarly journals Fisher-Type Fixed Point Results in b-Metric Spaces

Mathematics ◽  
2019 ◽  
Vol 7 (1) ◽  
pp. 102 ◽  
Author(s):  
Badr Alqahtani ◽  
Andreea Fulga ◽  
Erdal Karapınar ◽  
Ali Özturk
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Type Condition ◽  
Contractive Type ◽  
Common Fixed Point Theorems

In this paper, we prove some common fixed-point theorems for two self-mappings in the context of a complete b-metric space by proposing a new contractive type condition. Further, we derive a result for three self-mappings in the same setting. We provide two examples to demonstrate the validity of the obtained results.

scholarly journals Some common fixed point theorems in fuzzy metric spaces and their applications

2018 ◽  
Vol 36 (3) ◽  
pp. 141 ◽  
Author(s):  
Vishal Gupta ◽  
Raman Deep ◽  
Adesh Kumar Tripathi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Compatible Mappings ◽  
Type Condition ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Weakly Compatible ◽  
Contractive Type ◽  
Common Fixed Point Theorems

The main aim of this paper is to prove fixed point theorems via notion of pairwise semi-compatible mappings and occasionally weakly compatible mappings(owc) in fuzzy metric spaces satisfying contractive type condition.

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 Common fixed point theorems for generalized G- η-χ–contractive type mappings with applications

2017 ◽  
Vol 37 (1) ◽  
pp. 9-20
Author(s):  
Manoj Kumar ◽  
Serkan Araci
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contractive Mappings ◽  
Nonlinear Anal ◽  
Contractive Type ◽  
Common Fixed Point Theorems

Samet et. al. (Nonlinear Anal. 75, 2012, 2154-2165) introduced the concept of alpha-psi-contractive type mappings in metric spaces. In 2013, Alghamdi et. al. [2] introduced the concept of G-β--contractive type mappings in G-metric spaces. Our aim is to introduce new concept of generalized G-η-χ-contractive pair of mappings. Further, we study some fixed point theorems for such mappings in complete G-metric spaces. As an application, we further establish common fixed point theorems for G-metric spaces for cyclic contractive mappings.

scholarly journals Some Common Fixed-Point Theorems for Generalized-Contractive-Type Mappings on Complex-Valued Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Chakkrid Klin-eam ◽  
Cholatis Suanoom
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Contractive Type ◽  
Complex Valued ◽  
Common Fixed Point Theorems

Fixed-point theory in complex valued metric spaces has greatly developed in recent times. In this paper, we prove certain common fixed-point theorems for two single-valued mappings in such spaces. The mappings we consider here are assumed to satisfy certain metric inequalities with generalized fixed-point theorems due to Rouzkard and Imdad (2012). This extends and subsumes many results of other authors which were obtained for mappings on complex-valued metric spaces.

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.

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