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20 results on '"ALTUN, I."'

3. Suzuki Type Fixed Point Result for Rational theta-Contraction on Complete Metric Spaces

Author

Durmaz, G., Minak, G., Altun, I., and Kırıkkale Üniversitesi

Subjects
theta-contraction, Fixed point, Suzuki type contraction, Rational contraction, theta*-contraction
Abstract

Altun, Ishak/0000-0002-7967-0554 WOS: 000474394000002 In this paper, we present a new approach to fixed point theorems for single valued contraction mappings defined on complete metric spaces. We introduce a new concept called Suzuki type rational theta*-contraction and prove fixed point result for such mappings. Also, we give some examples showing that our result is a real generalization of some existing results.

Published
2019

4. A new concept of (?, Fd)-contraction on quasi metric space

Author

Altun I., Al Arifi N., Jleli M., Lashin A., Samet B., and Kırıkkale Üniversitesi

Subjects
Left K-completeness, Quasi metric space, Fixed point, Left K-Cauchy sequence
Abstract

In the present paper, we introduce a new concept of (?, Fd)-contraction on quasi metric space. Then we provide some new fixed point theorems for such type mappings on left K, left M and left Smyth-complete quasi metric spaces. © 2016 All rights reserved.

Published
2016

5. Cyclic ? -contractions on S-complete Hausdorff uniform Spaces

Author

Sedghi S., Shobkolaei N., Firouzian S., Altun I., and Kırıkkale Üniversitesi

Subjects
Comparison function, Cyclic ? -contraction, S -completeness, Mathematics::General Topology, Fixed point, Uniform spaces
Abstract

In this paper, we apply the concept of cyclic ? -contraction for presenting a fixed point theorem on a Hausdorff uniform space.

Published
2015

6. Some fixed point theorems for multivalued weakly increasing operators

Author

Altun I., Turkoglu D., and Kırıkkale Üniversitesi

Subjects
Complete matric space, Mathematics::Functional Analysis, Banach spaces, Partial order, Fixed point
Abstract

In this paper, some common fixed point theorems for a pair of multivalued weakly increasing operators in partially ordered metric space and in partially ordered Banach space are proved.

Published
2013

7. Weak partial metric spaces and some fixed point results

Author

Altun I., Durmaz G., and Kırıkkale Üniversitesi

Subjects
Weak partial metric space, Partial metric space, Fixed point
Abstract

The concept of partial metric p on a nonempty set X was introduced by Matthews [8]. One of the most interesting properties of a partial metric is that p(x, x) may not be zero for x ? X. Also, each partial metric p on a nonempty set X generates a T0 topology on X. By omitting the small self-distance axiom of partial metric, Heckmann [7] defined the weak partial metric space. In the present paper, we give some fixed point results on weak partial metric spaces. © Universidad Politécnica de Valencia.

Published
2012

8. An existence theorem for the common solutions for a pair of integral inclusions

Author

Altun I., Turkoglu D., and Kırıkkale Üniversitesi

Subjects
Banach spaces, Condensing mapping, Fixed point, Multivalued mapping, Integral inclusions
Abstract

In this paper we prove an existence theorem for the common solutions for a pair of integral inclusions via a common fixed point theorem of Turkoglu et al.[10]. © 2011 Watam Press.

Published
2011

9. Generalized contractions on partial metric spaces (vol 157, pg 2778, 2010)

Author

Altun, I., Sadarangani, K., and Kırıkkale Üniversitesi

Subjects
Partial metric space, Generalized contraction, Fixed point
Abstract

Altun, Ishak/0000-0002-7967-0554; Sadarangani, Kishin/0000-0002-7090-0114 WOS: 000293486300025 We correct the proof of Theorem 1 in the paper in the title. (C) 2010 Elsevier B.V. All rights reserved.

Published
2011

10. Fixed point theorem for multivalued mappings satisfying an implicit relation

Author

Turkoglu D., Altun I., and Kırıkkale Üniversitesi

Subjects
Physics::General Physics, ComputingMethodologies_PATTERNRECOGNITION, MathematicsofComputing_NUMERICALANALYSIS, InformationSystems_DATABASEMANAGEMENT, Mathematics::General Topology, Fixed point, Multivalued mapping, Hardware_LOGICDESIGN, Implicit relation
Abstract

In this paper, we give a common fixed point theorem for multivalued mappings with Hausdorff metric.

Published
2008

11. FIXED POINT RESULTS FOR α-ADMISSIBLE MULTIVALUED F -CONTRACTIONS.

Author

DURMAZ, G. and ALTUN, I.

Subjects
*SET-valued maps, *CONTRACTIONS (Topology), *FIXED point theory, *EQUALITY, *CONVEX functions
Abstract

In this study, we give some fixed point results for multivalued mappings using Pompeiu- Hausdorff distance on complete metric space. For this, we consider the α-admissibility of multivalued mappings. Our results are real generalizations of Mizoguchi-Takahashi fixed point theorem. We also provide an example showing this fact. Finally, we obtain some ordered fixed point results for multivalued mappings. [ABSTRACT FROM AUTHOR]

Published
2016
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12. ON A GENERAL CLASS OF WEAKLY PICARD OPERATORS.

Author

ALTUN, I., HANÇER, H. A., and MINAK, G.

Subjects
*METRIC spaces, *PICARD number, *FIXED point theory, *MATHEMATICAL mappings
Abstract

In this paper we show that on complete metric spaces the class of weakly Picard operators contains some operators which are more general than the class of almost contractions. [ABSTRACT FROM AUTHOR]

Published
2015
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13. A NEW APPROACH TO CARISTI'S FIXED POINT THEOREM ON NON-ARCHIMEDEAN FUZZY METRIC SPACES.

Author

SEDGHI, S., SHOBKOLAEI, N., and ALTUN, I.

Subjects
METRIC spaces, FUZZY mathematics, FIXED point theory, GENERALIZED spaces, MATHEMATICS
Abstract

In the present paper, we give a new approach to Caristi's fixed point theorem on non-Archimedean fuzzy metric spaces. For this we define an ordinary metric d using the non-Archimedean fuzzy metric M on a nonempty set X and we establish some relationship between (X, d) and (X, M, *). Hence, we prove our result by considering the original Caristi's fixed point theorem. [ABSTRACT FROM AUTHOR]

Published
2015

14. A COMMON FIXED POINT THEOREM ON ORDERED METRIC SPACES.

Author

NASHINE, H. K. and ALTUN, I.

Subjects
*METRIC spaces, *TOPOLOGY, *MATHEMATICS, *METRIC geometry, *MATHEMATICS theorems
Abstract

A common fixed point result for weakly increasing mappings satisfying generalized contractive type of Zhang in ordered metric spaces are derived. [ABSTRACT FROM AUTHOR]

Published
2012

16. FIXED POINT AND HOMOTOPY RESULT FOR MAPPINGS SATISFYING AN IMPLICIT RELATION.

Author

Altun, I. and Turkoglu, D.

Subjects
*FIXED point theory, *MATHEMATICAL mappings, *HOMOTOPY theory, *DIFFERENTIAL equations, *MATHEMATICS education
Abstract

In this paper, we prove some fixed point theorems for single valued mappings satisfying an implicit relation on space with two metrics. In addition we give a homotopy result using our theorems. [ABSTRACT FROM AUTHOR]

Published
2007
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17. A fixed point theorem for multi-valued mappings and its applications to integral inclusions

Author

Turkoglu, D. and Altun, I.

Subjects
*COMPLEX variables, *FIXED point theory, *NONLINEAR operators, *COINCIDENCE theory
Abstract

Abstract: In this paper we prove an existence theorem for the common solutions for a pair of integral inclusions via a common fixed point theorem of Dhage et al. [B.C. Dhage, D. O’Regan, R.P. Agarwal, Common fixed point theorems for a pair of countably condensing mappings in ordered Banach spaces, J. Appl. Math. Stoch. Anal. 16 (3) (2003) 243–248]. [Copyright &y& Elsevier]

Published
2007
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19. Fixed point theorems for a pair of mappings satisfying a generalized weakly contractive condition in ordered metric spaces

Author

DR HEMANT KUMAR NASHINE, Altun, I., and Kırıkkale Üniversitesi

Subjects
Fixed point,Complete metric space,Altering distance function,Weakly contractive condition,Partially ordered set, Statistics and Probability, Partially ordered set, Complete metric space, İstatistik ve Olasılık, Weakly contractive condition, Fixed point, Altering distance function
Abstract

NASHINE, HEMANT KUMAR/0000-0002-0250-9172; Altun, Ishak/0000-0002-7967-0554; NASHINE, HEMANT KUMAR/0000-0002-0250-9172 WOS: 000308834600009 Fixed point theorems for a pair of mappings which satisfy the condition of being generalized weakly contractive in complete ordered metric spaces are derived. At the end of the paper, applications of the previous results to new fixed point results of integral type are also shown.

20. Suzuki Type Fixed Point Result for Rational θ-Contraction on Complete Metric Spaces.

Author

Durmaz, G., Mınak, G., and Altun, I.

Subjects
*METRIC spaces, *FIXED point theory, *GENERALIZATION
Abstract

In this paper, we present a new approach to fixed point theorems for single valued contraction mappings defined on complete metric spaces. We introduce a new concept called Suzuki type rational θ*-contraction and prove fixed point result for such mappings. Also, we give some examples showing that our result is a real generalization of some existing results. [ABSTRACT FROM AUTHOR]

Published
2019

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