scholarly journals Caristi Type Selections of Multivalued Mappings

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
Calogero Vetro ◽  
Francesca Vetro
Keyword(s):  
Applied Sciences ◽  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Multivalued Mappings ◽  
Complete Metric Spaces ◽  
Selection Theorems ◽  
Multivalued Contractions

Multivalued mappings and related selection theorems are fundamental tools in many branches of mathematics and applied sciences. In this paper we continue this theory and prove the existence of Caristi type selections for generalized multivalued contractions on complete metric spaces, by using some classes of functions. Also we prove fixed point and quasi-fixed point theorems.

scholarly journals Some related fixed point theorems for multivalued mappings on two metric spaces

2020 ◽  
Vol 12 (2) ◽  
pp. 392-400
Author(s):  
Ö. Biçer ◽  
M. Olgun ◽  
T. Alyildiz ◽  
I. Altun
Keyword(s):  
Fixed Point ◽  
Classical Result ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Multivalued Mappings ◽  
Compact Set ◽  
Complete Metric Spaces ◽  
Bounded Set ◽  
Contraction Type ◽  
Definition Of

The definition of related mappings was introduced by Fisher in 1981. He proved some theorems about the existence of fixed points of single valued mappings defined on two complete metric spaces and relations between these mappings. In this paper, we present some related fixed point results for multivalued mappings on two complete metric spaces. First we give a classical result which is an extension of the main result of Fisher to the multivalued case. Then considering the recent technique of Wardowski, we provide two related fixed point results for both compact set valued and closed bounded set valued mappings via $F$-contraction type conditions.

scholarly journals Fixed point theorems for multivalued generalized contractions of rational type in complete metric spaces

2014 ◽  
Vol 23 (1) ◽  
pp. 99-106
Author(s):  
ANCA M. OPREA ◽  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Ordered Metric Spaces ◽  
Complete Metric Spaces ◽  
Multivalued Operators ◽  
Multivalued Contractions ◽  
Rational Type

The purpose of this paper is to present some fixed point theorems for multivalued contractions of rational type. We extend the results of I. Cabrera, J. Harjani and K. Sadarangan, A fixed point theorem for contractions of rational type in partially ordered metric spaces, Annali dellUniversita di Ferrara, DOI 10.1007/s11565-013-0176-x, to the case of multivalued operators.

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 Some results on fixed point theorems for multivalued mappings in complete metric spaces

2002 ◽  
Vol 30 (6) ◽  
pp. 319-325 ◽  
Author(s):  
Jeong Sheok Ume ◽  
Byung Soo Lee ◽  
Sung Jin Cho
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Multivalued Mappings ◽  
Complete Metric Spaces

Using the concept ofw-distance, we improve some well-known fixed point theorems.

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.

scholarly journals Common fixed point theorems for multi-valued weak contractive mappings in metric spaces with graphs

Filomat ◽  
2018 ◽  
Vol 32 (2) ◽  
pp. 671-680 ◽  
Author(s):  
Phikul Sridarat ◽  
Suthep Suantai
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Multivalued Mappings ◽  
Cyclic Contraction ◽  
Complete Metric Spaces ◽  
New Type ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

In this paper, a new type of graph contractive multi-valued mappings in a metric space with a directed graph is introduced and studied. A common fixed point theorem of those two multi-valued mappings is established under some appropriate conditions. Moreover, some examples illustrating our main result are also given. The obtained result extends and generalizes several fixed point results of multivalued mappings in the literature. We apply our main result to obtain common fixed point results for two multi-valued mappings in ?-chainable complete metric spaces and two cyclic contraction multi-valued mappings.

scholarly journals Fixed points of multivalued contractions via generalized class of simulation functions

2019 ◽  
Vol 38 (3) ◽  
pp. 161-176
Author(s):  
Deepesh Kumar Patel
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Spaces ◽  
Multivalued Mappings ◽  
Complete Metric Spaces ◽  
Simulation Functions ◽  
Multivalued Contractions

In this paper, considering a wider class of simulation functions some fixed point results for multivalued mappings in α-complete metric spaces have been presented. Results obtained in this paper extend and generalize some well known fixed point results of the literature. Some examples and consequence are given to  illustrate the usability of the theory.

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.

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