scholarly journals Ulam-Hyers stability of fixed point equations for singlevalued operators on KST spaces

2012 ◽  
Vol 21 (1) ◽  
pp. 41-47
Author(s):  
LILIANA GURAN ◽  
Keyword(s):  
Fixed Point ◽  
Type Condition ◽  
Contractive Type ◽  
Stability Results

In this paper we define the notions of Ulam-Hyers stability with respect to a w-distance (in the sense of Kada, Suzuki and Takahashi) and prove several Ulam-Hyers stability results for operators satisfying to a contractive-type condition with respect to w.

Ulam-Hyers stability theorem by tripled fixed point theorem

2016 ◽  
Vol 56 (1) ◽  
pp. 77-97
Author(s):  
Animesh Gupta
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Stability Theorem ◽  
Tripled Fixed Point ◽  
Complete Metric Spaces ◽  
Contractive Type ◽  
Vector Valued ◽  
Stability Results

AbstractThis paper deals with tripled fixed point theorem, and the approach is based on Perov-type fixed point theorem for contractions in metric spaces endowed with vector-valued metrics. We are also study Ulam-Hyers stability results for the tripled fixed points of a triple of contractive type single-valued and respectively multi-valued operators on complete metric spaces.

scholarly journals A Common Fixed Point Theorem in Fuzzy Metric Spaces with Nonlinear Contractive Type Condition Defined Using Φ-Function

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Siniša N. Ješić ◽  
Nataša A. Babačev ◽  
Rale M. Nikolić
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Spaces ◽  
Type Condition ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Contractive Type ◽  
Common Fixed Point Theorem

This paper is to present a common fixed point theorem for twoR-weakly commuting self-mappings satisfying nonlinear contractive type condition defined using a Φ-function, defined on fuzzy metric spaces. Some comments on previously published results and some examples are given.

scholarly journals Convergence and Stability of New Approximation Algorithms for Certain Contractive-Type Mappings

2021 ◽  
Vol 2 ◽  
pp. 1
Author(s):  
Imo Kalu Agwu ◽  
Donatus Ikechi Igbokwe
Keyword(s):  
Approximation Algorithms ◽  
Fixed Points ◽  
Iterative Scheme ◽  
Type Condition ◽  
Iterative Schemes ◽  
Convergence And Stability ◽  
Contractive Type ◽  
Stability Results

We present new fixed points algorithms called multistep H-iterative scheme and multistep SH-iterative scheme. Under certain contractive-type condition, convergence and stability results were established without any imposition of the ’sum conditions’, which to a large extent make some existing iterative schemes so far studied by other authors in this direction practically inefficient. Our results complement and improve some recent results in literature.

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 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.

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