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    Article

    Mann-type extragradient algorithm for solving variational inequality and fixed point problems

    This paper aims to propose a double inertial Mann-type extragradient algorithm using non-monotonic step size and establish a weak convergence result to find a common solution to the variational inequality prob...

    Watanjeet Singh, Sumit Chandok in Computational and Applied Mathematics (2024)

  2. Article

    Open Access

    Multivalued weak cyclic δ-contraction map**s

    In this paper, we propose some new type of weak cyclic multivalued contraction map**s by generalizing the cyclic contraction using the δ-distance function. Several novel fixed point results are deduced for such...

    Pulak Konar, Samir Kumar Bhandari in Journal of Inequalities and Applications (2020)

  3. Article

    Open Access

    Some fixed point results for non-decreasing and mixed monotone map**s with auxiliary functions

    The purpose of this paper is to provide sufficient conditions for the existence and uniqueness of fixed points for non-decreasing and mixed monotone map**s with auxiliary functions in the framework of metric...

    Shuang Wang, Arslan Hojat Ansari, Sumit Chandok in Fixed Point Theory and Applications (2015)

  4. Article

    Open Access

    Some fixed point theorems for (α, β)-admissible Geraghty type contractive map**s and related results

    In this paper, we introduced the concept of (α, β)-admissible Geraghty type contractive map**s. Sufficient conditions for the existence of a fixed point for such class of generalized nonlinear contractive mappi...

    Sumit Chandok in Mathematical Sciences (2015)

  5. Article

    Open Access

    Some fixed point theorems for \((\alpha,\psi)\) -rational type contractive map**s

    In this paper, we introduce the concept of ( α ...

    Hamed H Alsulami, Sumit Chandok, Mohamed-Aziz Taoudi in Fixed Point Theory and Applications (2015)

  6. Article

    Open Access

    Fixed point theorems on b-metric spaces for weak contractions with auxiliary functions

    In this paper, we obtain some fixed point results for generalized weakly contractive map**s with some auxiliary functions in the framework of b-metric spaces. The proved results generalize and extend the corres...

    Arslan Hojat Ansari, Sumit Chandok in Journal of Inequalities and Applications (2014)

  7. Article

    Open Access

    Optimal solutions for nonlinear proximal -contraction map** in metric space

    The objective of this paper is to solve an optimal solutions for new nonlinear map** in the setting of metric spaces. Our results extend, generalize, and improve some known results from best proximity point ...

    Marwan Amin Kutbi, Sumit Chandok in Journal of Inequalities and Applications (2014)

  8. Article

    Open Access

    An original coupled coincidence point result for a pair of map**s without MMP

    The purpose of this paper is to establish a coupled coincidence point theorem for a pair of map**s without MMP (mixed monotone property) in metric spaces endowed with partial order, which is not an immediate...

    Sumit Chandok, Kenan Tas in Journal of Inequalities and Applications (2014)

  9. Article

    Open Access

    Coupled common fixed point theorems for generalized nonlinear contraction map**s with the mixed monotone property in partially ordered metric spaces

    The purpose of this paper is to establish some coupled coincidence point theorems for generalized nonlinear contraction map**s with the mixed g-monotone property in the framework of metric spaces endowed with p...

    Jong Kyu Kim, Sumit Chandok in Fixed Point Theory and Applications (2013)

  10. Article

    Open Access

    Some coupled common fixed points for a pair of map**s in partially ordered G-metric spaces

    The purpose of this paper is to establish some coupled coincidence point theorems for a pair of map**s having a mixed g-monotone property in partially ordered G-metric spaces. Also, we present a result on the e...

    Sumit Chandok, Wutiphol Sintunavarat, Poom Kumam in Mathematical Sciences (2013)

  11. Article

    Open Access

    Fixed point theorem for weakly Chatterjea-type cyclic contractions

    In this article, we introduce the notion of a Chatterjea-type cyclic weakly contraction and derive the existence of a fixed point for such map**s in the setup of complete metric spaces. Our result extends an...

    Sumit Chandok, Mihai Postolache in Fixed Point Theory and Applications (2013)

  12. No Access

    Article

    Common fixed points and invariant approximation for Gregus type contraction map**s

    Some new common fixed point theorems for Gregus type contraction map**s have been obtained in convex metric spaces. As applications, invariant approximation results for these types of map**s are obtained. ...

    Sumit Chandok, T. D. Narang in Rendiconti del Circolo Matematico di Palermo (2011)