scholarly journals Common fixed points for multivalued mappings in ordered partial metric space

2015 ◽  
Vol 4 (2) ◽  
pp. 259 ◽  
Author(s):  
Esmaeil Nazari ◽  
Najmeh Mohitazar
Keyword(s):  
Fixed Points ◽  
Metric Space ◽  
Partial Metric Space ◽  
Common Fixed Points ◽  
Multivalued Mappings ◽  
Partial Metric ◽  
Ordered Partial Metric Space

scholarly journals FIXED POINTS FOR TWO PAIRS OF ABSORBING MAPPINGS IN WEAK PARTIAL METRIC SPACES

2020 ◽  
pp. 283
Author(s):  
Valeriu Popa ◽  
Alina-Mihaela Patriciu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Point Theorem ◽  
Metric Space ◽  
Metric Spaces ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Partial Metric Spaces

In this paper, a general fixed point theorem for two pairs of absorbing mappings in weak partial metric space, using implicit relations, has been proved.

Fixed point to fixed circle and activation function in partial metric space

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Anita Tomar ◽  
Meena Joshi ◽  
S. K. Padaliya
Keyword(s):  
Fixed Point ◽  
Euclidean Space ◽  
Fixed Points ◽  
Metric Space ◽  
Open Problem ◽  
Partial Metric Space ◽  
Activation Function ◽  
Geometric Interpretation ◽  
Partial Metric ◽  
Insight Into

Abstract We familiarize a notion of a fixed circle in a partial metric space, which is not necessarily the same as a circle in a Euclidean space. Next, we establish novel fixed circle theorems and verify these by illustrative examples with geometric interpretation to demonstrate the authenticity of the postulates. Also, we study the geometric properties of the set of non-unique fixed points of a discontinuous self-map in reference to fixed circle problems and responded to an open problem regarding the existence of a maximum number of points for which there exist circles. This paper is concluded by giving an application to activation function to exhibit the feasibility of results, thereby providing a better insight into the analogous explorations.

scholarly journals Fixed Point Results of Locally Contractive Mappings in Ordered Quasi-Partial Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Abdullah Shoaib ◽  
Muhammad Arshad ◽  
Jamshaid Ahmad
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Space ◽  
Metric Spaces ◽  
Monotone Mapping ◽  
Partial Metric Space ◽  
Closed Ball ◽  
Partial Metric ◽  
Contractive Mappings ◽  
Partial Metric Spaces

Fixed point results for a self-map satisfying locally contractive conditions on a closed ball in an ordered 0-complete quasi-partial metric space have been established. Instead of monotone mapping, the notion of dominated mappings is applied. We have used weaker metric, weaker contractive conditions, and weaker restrictions to obtain unique fixed points. An example is given which shows that how this result can be used when the corresponding results cannot. Our results generalize, extend, and improve several well-known conventional results.

scholarly journals Common fixed points under strict conditions

2020 ◽  
Vol 24 (2) ◽  
pp. 63-70
Author(s):  
Hakima Bouhadjera ◽  
Said Beloul ◽  
Achref Tabet
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Common Fixed Points ◽  
Multivalued Mappings ◽  
New Concepts ◽  
Common Fixed Point Theorems

In this contribution, three new concepts called reciprocally continuous, strictly subweakly compatible and strictly subreciprocally continuous single and multivalued mappings are given for obtention some common fixed point theorems in a metric space. Our results improve and complement the results of Aliouche and Popa, Azam and Beg, Deshpande and Pathak, Kaneko and Sessa, Popa and others.

scholarly journals Common fixed points of α-dominated multivalued mappings on closed balls in a dislocated quasi b-metric space

2017 ◽  
Vol 10 (07) ◽  
pp. 3456-3476 ◽  
Author(s):  
Abdulaziz Saleem Moslem Alofi ◽  
Abdullah Eqal Al-Mazrooei ◽  
Bahru Tsegaye Leyew ◽  
Mujahid Abbas
Keyword(s):  
Fixed Points ◽  
Metric Space ◽  
Common Fixed Points ◽  
Multivalued Mappings

scholarly journals ON COMMON FIXED POINTS THEOREMS FOR ORDERED $F$-CONTRACTIONS WITH APPLICATION

2018 ◽  
pp. 125
Author(s):  
Muhammad Nazam ◽  
Ozlem Acar
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Partial Metric Space ◽  
Common Fixed Points ◽  
Contractive Condition ◽  
Partial Metric ◽  
Common Solution ◽  
Partial Metric Spaces ◽  
Ordered Partial Metric Space

We study the conditions for existence of a unique common fixed point of ordered $F$-contractions defined on an ordered partial metric space; in particular, we present a common fixed point result for a pair of ordered $F$-contractions satisfying a generalized rational type contractive condition and discuss its consequences. It is remarked that the notion of an $F$-contraction in partial metric spaces is more general than that in metric spaces. As application of our findings, we demonstrate the existence of common solution of the system of Volterra type integral equations.

scholarly journals Common Fixed Points in a Partially Ordered Partial Metric Space

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Daniela Paesano ◽  
Pasquale Vetro
Keyword(s):  
Metric Spaces ◽  
Fixed Point Theory ◽  
Partial Metric Space ◽  
Point Theory ◽  
Common Fixed Points ◽  
Partial Metric ◽  
Partially Ordered ◽  
Partial Metric Spaces ◽  
Ordered Partial Metric Space

In the first part of this paper, we prove some generalized versions of the result of Matthews in (Matthews, 1994) using different types of conditions in partially ordered partial metric spaces for dominated self-mappings or in partial metric spaces for self-mappings. In the second part, using our results, we deduce a characterization of partial metric 0-completeness in terms of fixed point theory. This result extends the Subrahmanyam characterization of metric completeness.

scholarly journals Existence of Fixed Points of Four Maps for a New Generalized F-Contraction and an Application

2019 ◽  
Vol 2019 ◽  
pp. 1-8 ◽  
Author(s):  
Muhammad Nazam ◽  
Hassen Aydi ◽  
Mohd Salmi Noorani ◽  
Haitham Qawaqneh
Keyword(s):  
Fixed Points ◽  
Metric Space ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Elliptic Boundary Value ◽  
Common Solution ◽  
Set Up

We initiate the concept of a new generalized F-contraction satisfying some contractive conditions involving four maps on a partial metric space. We set up an example to elucidate our main result. An application is derived where a system of elliptic boundary value equations has a common solution.

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