scholarly journals Nonunique Coincidence Point Results via Admissible Mappings

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Erdal Karapınar ◽  
Chi-Ming Chen ◽  
Andreea Fulga
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Admissible Mapping

This paper is aimed at presenting some coincidence point results using admissible mapping in the framework of the partial b -metric spaces. Observed results of the article cover a number of existing works on the topic of “investigation of nonunique fixed points.” We express an example to indicate the validity of the observed outcomes.

scholarly journals Fixed Points Results forα-Admissible Mapping of Integral Type on Generalized Metric Spaces

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Erdal Karapınar
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Integral Type ◽  
Generalized Metric Spaces ◽  
Contractive Mappings ◽  
Admissible Mapping ◽  
Generalized Metric

We introduce generalized(α,ψ)-contractive mappings of integral type in the context of generalized metric spaces. The results of this paper generalize and improve several results on the topic in literature.

scholarly journals Coincidence Point Results for Multivalued Suzuki Type Mappings Using θ-Contraction in b-Metric Spaces

Mathematics ◽  
2019 ◽  
Vol 7 (11) ◽  
pp. 1017 ◽  
Author(s):  
Naeem Saleem ◽  
Jelena Vujaković ◽  
Wali Ullah Baloch ◽  
Stojan Radenović
Keyword(s):  
Metric Space ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Best Proximity Point ◽  
Admissible Mapping

In this paper, we introduce the concept of coincidence best proximity point for multivalued Suzuki-type α -admissible mapping using θ -contraction in b-metric space. Some examples are presented here to understand the use of the main results and to support the results proved herein. The obtained results extend and generalize various existing results in literature.

scholarly journals The Study of Fixed Point Theory for Various Multivalued Non-Self-Maps

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Wei-Shih Du ◽  
Erdal Karapınar ◽  
Naseer Shahzad
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Coincidence Points ◽  
Complete Metric Spaces

The basic motivation of this paper is to extend, generalize, and improve several fundamental results on the existence (and uniqueness) of coincidence points and fixed points for well-known maps in the literature such as Kannan type, Chatterjea type, Mizoguchi-Takahashi type, Berinde-Berinde type, Du type, and other types from the class of self-maps to the class of non-self-maps in the framework of the metric fixed point theory. We establish some fixed/coincidence point theorems for multivalued non-self-maps in the context of complete metric spaces.

scholarly journals Tripled Coincidence Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Binayak S. Choudhury ◽  
Erdal Karapınar ◽  
Amaresh Kundu
Keyword(s):  
Fixed Points ◽  
Point Theorem ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Triple Coincidence ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Nonlinear Contractions ◽  
Coupled Fixed Points

Tripled fixed points are extensions of the idea of coupled fixed points introduced in a recent paper by Berinde and Borcut, 2011. Here using a separate methodology we extend this result to a triple coincidence point theorem in partially ordered metric spaces. We have defined several concepts pertaining to our results. The main results have several corollaries and an illustrative example. The example shows that the extension proved here is actual and also the main theorem properly contains all its corollaries.

scholarly journals On Wong Type Contractions

Mathematics ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 649
Author(s):  
Erdal Karapınar ◽  
Andreea Fulga
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Contraction Mappings ◽  
Admissible Mapping ◽  
Paper Cover ◽  
Type Contraction

In this paper, by using admissible mapping, Wong type contraction mappings are extended and investigated in the framework of quasi-metric spaces to guarantee the existence of fixed points. We consider examples to illustrate the main results. We also demonstrate that the main results of the paper cover several existing results in the literature.

scholarly journals Fixed points results via simulation functions

Filomat ◽  
2016 ◽  
Vol 30 (8) ◽  
pp. 2343-2350 ◽  
Author(s):  
Erdal Karapınar
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Simulation Function ◽  
Complete Metric Spaces ◽  
Admissible Mapping ◽  
Simulation Functions

In this paper, we present some fixed point results in the setting of a complete metric spaces by defining a new contractive condition via admissible mapping imbedded in simulation function. Our results generalize and unify several fixed point theorems in the literature.

scholarly journals Some New Results of Interpolative Hardy–Rogers and Ćirić–Reich–Rus Type Contraction

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Youssef Errai ◽  
El Miloudi Marhrani ◽  
Mohamed Aamri
Keyword(s):  
Fixed Points ◽  
Metric Space ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Contractive Mapping ◽  
Contraction Mappings ◽  
Weakly Contractive Mapping ◽  
New Concepts ◽  
Weakly Contractive ◽  
Type Contraction

In this paper, we present new concepts on completeness of Hardy–Rogers type contraction mappings in metric space to prove the existence of fixed points. Furthermore, we introduce the concept of g -interpolative Hardy–Rogers type contractions in b -metric spaces to prove the existence of the coincidence point. Lastly, we add a third concept, interpolative weakly contractive mapping type, Ćirić–Reich–Rus, to show the existence of fixed points. These results are a generalization of previous results, which we have reinforced with examples.

scholarly journals Near-Coincidence Point Results in Norm Interval Spaces via Simulation Functions

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Misbah Ullah ◽  
Muhammad Sarwar ◽  
Hassen Aydi ◽  
Yaé Ulrich Gaba
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Simulation Functions

Recently, Wu in 2018 established interesting results in the framework of interval spaces. He initiated the idea of near-fixed points and proved some related basic results in metric interval, norm interval, and hyperspaces. In 2015, Khojasteh et al. gave the concept of simulation functions and studied some fixed-point results in metric spaces. Motivated by this work, we give some near-coincidence point results in norm interval spaces using the concept given by Khojasteh et al. Examples are also provided for the validation of the results.

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