Papers by Ramesh Chandra Dimri
Advances in Fixed Point Theory, 2013
By using the compatibility condition and mixed weakly monotone property, in this manuscript, we p... more By using the compatibility condition and mixed weakly monotone property, in this manuscript, we prove some coupled common fixed point theorems for four mappings with twice power type φ-contraction condition in partially ordered complete metric spaces.Our results are generalizations of the main results of Gordji, Akbartabar and Cho and Ramezani et al.
Nonlinear Analysis: Theory, Methods & Applications, 2010
We prove two common fixed point theorems for a pair of weakly compatible maps in fuzzy metric spa... more We prove two common fixed point theorems for a pair of weakly compatible maps in fuzzy metric spaces both in the sense of Kramosil and Michalek and in the sense of George and Veeramani, by using E.A. property.
In this paper, we introduce a new iteration scheme, named as the S**-iteration scheme, for approx... more In this paper, we introduce a new iteration scheme, named as the S**-iteration scheme, for approximation of fixed point of the nonexpansive mappings. This scheme is faster than Picard, Mann, Ishikawa, Noor, Agarwal, Abbas, Thakur, and Ullah iteration schemes. We show the stability of our instigated scheme and give a numerical example to vindicate our claim. We also put forward some weak and strong convergence theorems for Suzuki's generalized nonexpansive mappings in the setting of uniformly convex Banach spaces. Our results comprehend, improve, and consolidate many results in the existing literature.
Abstract and Applied Analysis, 2014
We obtain a new Suzuki type coupled fixed point theorem for a multivalued mappingTfromX×XintoCB(X... more We obtain a new Suzuki type coupled fixed point theorem for a multivalued mappingTfromX×XintoCB(X), satisfying a generalized contraction condition in a complete metric space. Our result unifies and generalizes various known comparable results in the literature. We also give an application to certain functional equations arising in dynamic programming.
Global Journal of Mathematical Analysis, 2014
The purpose of this paper is to provide sufficient conditions for the existence of a unique best ... more The purpose of this paper is to provide sufficient conditions for the existence of a unique best proximity point for generalized Mizoguchi-Takahashi contractions.Our paper provides an extension of a result due to Gordji and Ramezani[3].
In this paper, we prove some fixed point theorems for some weaker forms of compatibility satisfyi... more In this paper, we prove some fixed point theorems for some weaker forms of compatibility satisfying a contractive condition of integral type on d-complete Hausdorff topological spaces. Our results extend and generalize some well known previous results.
In this paper we prove common xed point theorems for two multivalued maps in complete cone metric... more In this paper we prove common xed point theorems for two multivalued maps in complete cone metric spaces withnormal constant M = 1. Our results generalize and extend the results of Rezapour[12] and others.
Mathematica Moravica
In this paper we establish some results on the existence of coincidence point for multivalued Kan... more In this paper we establish some results on the existence of coincidence point for multivalued Kannan maps using the concept of w-distance. Our results generalize and extend some well known results due to Latif and Albar [5] and others.
In the present paper we consider a queueing model in which customer arrives according Poisson pat... more In the present paper we consider a queueing model in which customer arrives according Poisson pattern and bulk service with grand vacations process. We discuss stationary queue size distribution, departure point queue size distribution, queue size distribution at stationary points of vacation period and joint distribution of the queue size and vacation period.
International Journal of Scientific & Technology Research, 2019
Advances in Fixed Point Theory, 2013
By using the compatibility condition and mixed weakly monotone property, in this manuscript, we p... more By using the compatibility condition and mixed weakly monotone property, in this manuscript, we prove some coupled common fixed point theorems for four mappings with twice power type φ-contraction condition in partially ordered complete metric spaces.Our results are generalizations of the main results of Gordji, Akbartabar and Cho and Ramezani et al.
Advances in Fixed Point Theory, 2013
The aim of the present paper is to established a common fixed point theorem for two single-valued... more The aim of the present paper is to established a common fixed point theorem for two single-valued and two multi-valued mappings using weak compatibility in Menger spaces.
In this paper we prove a common fixed point theorem for weakly compatible maps in complex valued ... more In this paper we prove a common fixed point theorem for weakly compatible maps in complex valued metric spaces without using the notion of continuity. Our result generalizes and extends the results of A. Azam, B. Fisher and M. Khan [1] and others. Mathematics Subject Classification: 47H10, 54H25
Journal of the Indian Mathematical Society
In this paper, we establish coincidence point theorems for contractive mappings, using locally g-... more In this paper, we establish coincidence point theorems for contractive mappings, using locally g-transitivity of binary relation in new generalized metric spaces. In the present results, we use some relation theoretic analogues of standard metric notions such as continuity, completeness and regularity. In this way our results extend, modify and generalize some recent fixed point theorems, for instance, Karapinar et al [J. Fixed Point Theory Appl. 18(2016) 645-671], Alam and Imdad [Fixed Point Theory, in press].
Fixed Point Theory
Our purpose in this article is to introduce two new iterations and studying the strong convergenc... more Our purpose in this article is to introduce two new iterations and studying the strong convergence algorithms for finding approximating solutions of some variational inequalities on the set of common fixed point for a semigroup of asymptotically nonexpansive mappings. The results of this article improve and extend the recent work of Sunthrayuth and Kumam [21].
Journal of Advanced Studies in Topology, 2012
In the present paper, we prove weak and strong convergence theorems for perturbed Mann iteration ... more In the present paper, we prove weak and strong convergence theorems for perturbed Mann iteration of Suzuki generalized non-expansive mapping in uniformly convex Banach spaces.The result obtained in this paper extend and improve the results due to [1].
We obtain sufficient conditions for the existence of a unique fixed point of Reich and Rhoades ty... more We obtain sufficient conditions for the existence of a unique fixed point of Reich and Rhoades type contractive conditions on generalized, complete, metric spaces dependent on another function. Our results generalize and extend some well-known previous results.
International Journal of Pure and Apllied Mathematics, 2014
In this paper we investigate certain conditions that imply the existence of fixed points for cont... more In this paper we investigate certain conditions that imply the existence of fixed points for contraction mappings in the setting of compact metric spaces. As a result we obtain generalized results by unifying some recent related fixed point theorems on the topic.
This paper explores the common fixed point theorems involving two pairs of weakly compatible mapp... more This paper explores the common fixed point theorems involving two pairs of weakly compatible mappings. Also the property (E.A) is proved under a new contractive condition which is independent of the previous known contractive definitions.
We present common fixed point theory for generalized weak contractive condition in symmetric spac... more We present common fixed point theory for generalized weak contractive condition in symmetric spaces under strict contractions and obtain some results on Invariant Approximations.
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Papers by Ramesh Chandra Dimri