Results 11 to 20 of about 11,964,307 (63)

A geometric approach to the Proinov type contractions [PDF]

open access: yes, 2022
In this paper, we prove some fixed-circle, fixed-disc and fixed-ellipse results on metric spaces. To do this, we define the notions of Proinov type a0-contraction and generalized Proinov type a0-contraction.
Taş Nıhal, Nıhal Taş
core   +4 more sources

Generalized Interpolative Contractions and an Application

open access: yesJournal of Mathematics, Volume 2021, Issue 1, 2021., 2021
In this study, we introduce a property (P) and the generalized interpolative contractions of types I, II, III, and IV. We investigate certain conditions for the existence of fixed points of generalized interpolative contractions. We derive several new results from the main theorems. As an application, we resolve the Urysohn integral equation.
Muhammad Nazam   +3 more
wiley   +1 more source

A Highly Efficient Computer Method for Solving Polynomial Equations Appearing in Engineering Problems

open access: yesMathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021
A highly efficient two‐step simultaneous iterative computer method is established here for solving polynomial equations. A suitable special type of correction helps us to achieve a very high computational efficiency as compared to the existing methods so far in the literature.
Naila Rafiq   +4 more
wiley   +1 more source

Extended Proinov X-contractions in metric spaces and fuzzy metric spaces satisfying the property NC by avoiding the monotone condition [PDF]

open access: yes, 2022
In recent years, Fixed Point Theory has achieved great importance within Nonlinear Analysis especially due to its interesting applications in real-world contexts.
Karapinar, Erdal   +5 more
core   +1 more source

Multivalued φ‐Contractions on Extended b‐Metric Spaces

open access: yesJournal of Function Spaces, Volume 2020, Issue 1, 2020., 2020
In this paper, we have established some fixed‐point results for the class of multivalued φ‐contractions in the setting of extended b‐metric space. An example is furnished to show the validity of our results. The results we have obtained generalize/extend many recent results by Asl, Bota, Samreen et al., and those contained therein.
Maria Samreen   +3 more
wiley   +1 more source

Higher Order of Convergence with Multivalued Contraction Mappings

open access: yesJournal of Mathematics, Volume 2020, Issue 1, 2020., 2020
In this paper, we establish some theorems of fixed point on multivalued mappings satisfying contraction mapping by using gauge function. Furthermore, we use Q‐ and R‐order of convergence. Our main results extend many previous existing results in the literature.
Jia-Bao Liu   +5 more
wiley   +1 more source

On multivalued maps for φ-contractions involving orbits with application [PDF]

open access: yes, 2021
In [14], Proinov established the existence of fixed point theorems regarding as a generalization of the Banach contraction principle (BCP) of self mapping under an influence of gauge function (GF).
Arshad, Muhammad   +5 more
core   +1 more source

Fixed point theory in the setting of (α,β,ψ,φ)-interpolative contractions [PDF]

open access: yes, 2021
The authors thank their universities. A.F. Roldan Lopez de Hierro is grateful to Junta de Andalucia by project FQM-365 of the Andalusian CICYE and to Ministerio de Ciencia e Innovacion by project PID2020-119478GB-I00.In this manuscript we introduce the ...
Karapinar, Erdal   +5 more
core   +1 more source

A General Ostrowski Type Inequality for Double Integrals [PDF]

open access: yes, 2000
Some generalisations of an Ostrowski Type Inequality in two dimensions for n-time differentiable mappings are given. The result is an Integral Inequality with bounded n-time derivatives.
Hanna, George T   +2 more
core   +5 more sources

Type-2 membership function.

open access: yes, 2021
Type-2 membership function.
Taghi Hosseinzadeh Khonakdari (11495407)   +1 more
core   +1 more source

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