Fixed point theory
1. Fixed points of weak $\psi$-quasi contractions in generalized metric spaces

K. P. R. Sastry; G. V. R. Babu; P. S. Kumar

Volume 06, Issue 04 , Autumn 2017, , Pages 323-329

Abstract
  In this paper, we introduce the notion of weak $\psi$-quasi contraction in generalized metric spaces and using this notion we obtain conditions for the existence of fixed points of a self map in $D$-complete generalized metric spaces. We deduce some corollaries from our result and provide examples in ...  Read More

Fixed point theory
2. Fixed point theory in generalized orthogonal metric space

M. Eshaghi Gordji; H. Habibi

Volume 06, Issue 03 , Summer 2017, , Pages 251-260

Abstract
  In this paper, among the other things, we prove the existence and uniqueness theorem of fixed point for mappings on a generalized orthogonal metric space. As a consequence of this, we obtain the existence and uniqueness of fixed point of Cauchy problem for the first order differential equation.  Read More

Fixed point theory
3. Coupled fixed point theorems involving contractive condition of integral type in generalized metric spaces

R. Shah; A. Zada

Volume 06, Issue 01 , Winter 2017, , Pages 45-53

Abstract
  In this manuscript, we prove some coupled fixed point theorems for two pairs of self mappings satisfying contractive conditions of integral type in generalized metric spaces. We furnish suitable illustrative examples. In this manuscript, we prove some coupled fixed point theorems for ...  Read More