Fuzzy fixed point results with rational type contractions in partially ordered complex-valued metric spaces

2019 ◽  
Vol 58 (1−2) ◽  
Author(s):  
Muhammad Sarwar ◽  
Humaira Humaira ◽  
Huaping Huang
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Partially Ordered ◽  
Fuzzy Fixed Point ◽  
Complex Valued ◽  
Rational Type

scholarly journals Fuzzy Fixed Point Results For Φ Contractive Mapping with Applications

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-12 ◽  
Author(s):  
Humaira ◽  
Muhammad Sarwar ◽  
G. N. V. Kishore
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Contractive Mapping ◽  
Contractive Mappings ◽  
Fixed Point Result ◽  
Control Functions ◽  
Complex Valued Metric Space ◽  
Fuzzy Fixed Point ◽  
Complex Valued ◽  
Rational Type

In this paper, using rational type contractions, common fuzzy fixed point result for Φ contractive mappings involving control functions as coefficients of contractions in the setting of complex-valued metric space is established. The derived results generalizes some result in the existing literature. To show the validity of the derived results an appropriate example and applications are also discussed.

scholarly journals Fixed Point Results Satisfying Rational Type Contractive Conditions in Complex Valued Metric Spaces

2016 ◽  
Vol 30 (1) ◽  
pp. 89-110
Author(s):  
Poom Kumam ◽  
Muhammad Sarwar ◽  
Mian Bahadur Zada
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Complex Valued ◽  
Rational Type

AbstractThe aim of this manuscript is to establish fixed point results satisfying contractive conditions of rational type in the setting of complex valued metric spaces. The derived results generalize and extend some well known results in the existing literature.

scholarly journals A Fixed Point Theorem for Mappings Satisfying a Contractive Condition of Rational Type on a Partially Ordered Metric Space

2010 ◽  
Vol 2010 ◽  
pp. 1-8 ◽  
Author(s):  
J. Harjani ◽  
B. López ◽  
K. Sadarangani
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Ordered Metric Space ◽  
Partially Ordered Metric Space ◽  
Ordered Metric Spaces ◽  
Partially Ordered ◽  
Rational Type

The purpose of this paper is to present a fixed point theorem using a contractive condition of rational type in the context of partially ordered metric spaces.

scholarly journals Rational Type Fuzzy-Contraction Results in Fuzzy Metric Spaces with an Application

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Saif Ur Rehman ◽  
Ronnason Chinram ◽  
Chawalit Boonpok
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Type Equation ◽  
Integral Type ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Contractive Type ◽  
Fuzzy Fixed Point ◽  
Existing Result ◽  
Rational Type

This paper aims to introduce the new concept of rational type fuzzy-contraction mappings in fuzzy metric spaces. We prove some fixed point results under the rational type fuzzy-contraction conditions in fuzzy metric spaces with illustrative examples to support our results. This new concept will play a very important role in the theory of fuzzy fixed point results and can be generalized for different contractive type mappings in the context of fuzzy metric spaces. Moreover, we present an application of a nonlinear integral type equation to get the existing result for a unique solution to support our work.

scholarly journals Fixed Point Results Satisfying Rational Type Contractive Conditions in Complex Valued Metric Spaces – Revisited

2017 ◽  
Vol 31 (1) ◽  
pp. 173-185
Author(s):  
Mian Bahadur Zada ◽  
Muhammad Sarwar
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Complex Valued ◽  
Rational Type ◽  
Made In

Abstract In our previous work titled “Fixed Point Results Satisfying Rational type Contractive Conditions in Complex Valued Metric Spaces”[Ann. Math. Sil. 30 (2016), 89-110], some errors has been made in the main results (Theorem 3.1, Theorem 3.7 and Theorem 3.22), that may misguide the readers. This note provides corrections of these errors.

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