Special Issue of

*the 10th Asian Conference on Fixed Point Theory and Optimization (ACFPTO2018)*at the Empress Hotel, Chiang Mai, Thailand, during July 16–18, 2018.### Table of Contents

Modified Proximal Point Algorithms for Solving Fixed Point Problem and Convex Minimization Problem in Non-Positive Curvature Metric Spaces | |

Kamonrat Sombut, Nuttapol Pakkaranang, Plerrn Saipara | 1-16 |

B-Well-Posedness for Set Optimization Problems Involving Set Order Relations | |

Pham Thi Vui, Rabian Wangkeeree, Lam Quoc Anh | 35-49 |

Fixed Point Theorems for Generalized Weakly Contractive Mappings in S-Metric Space | |

Somkiat Chaipornjareansri | 50-62 |

Sum of Ultra Maximal Monotone Operators and Operators of Type (D) in Grothendieck Spaces | |

Suvendu Ranjan Pattanaik, Dillip Kumar Pradhan | 63-75 |

Strong Convergence of the Modified Projection and Contraction Methods for Split Feasibility Problem | |

Suparat Kesornprom, Prasit Cholamjiak | 76-94 |

Best Proximity Point Theorems for Suzuki Type Proximal Contractive Multimaps | |

Jamnian Nantadilok, P. Sumati Kumari, Buraskorn Nuntadilok | 95-112 |

Stability of the New Generalized Linear Functional Equation in Normed Spaces via the Fixed Point Method in Generalized Metric Spaces | |

Laddawan Aiemsomboon, Wutiphol Sintunavarat | 113-124 |

A New Hybrid Spectral Gradient Projection Method for Monotone System of Nonlinear Equations with Convex Constraints | |

Aliyu Awwal Muhammed, Poom Kumam, Auwal Bala Abubakar, Adamu Wakili, Nuttapol Pakkaranang | 125-147 |

Applications to Integral Equations with Coupled Fixed Point Theorems in Ab-Metric Space | |

Konchada Ravibabu | 148-167 |

Approximation of Common Solutions to Proximal Split Feasibility Problems and Fixed Point Problems in Hilbert Spaces | |

Cholatis Suanoom, Wongvisarut Khuangsatung | 168-183 |

Fixed Point Theory for Nonlinear Mappings, Generalized Equilibrium Problems and Variational Inequality Problems by Using Hybrid Method | |

Atid Kangtunyakarn, Bunyawee chaloemyotphong | 184-202 |

Some Results for Generalized Suzuki Type Z-Contraction in Theta Metric Spaces | |

Plern Saipara, Poom Kumam, Pheerachate Bunpatcharacharoen | 203-219 |

Best Proximity Point Theorems without the P-Property for New Generalized Weakly Contraction Mappings in Partially Ordered Metric Spaces | |

Aphinat Ninsri, Wutiphol Sintunavarat | 220-233 |

On Solving the Split Feasibility Problem and the Fixed Point Problem in Banach Spaces | |

Prasit Choalmjiak, Pongsakorn Sunthrayuth | 234-251 |

Strong Convergence Theorems for the Split Variational Inclusion Problem and Common Fixed Point Problem for a Finite Family of Quasi-nonexpansive Mappings in Hilbert Spaces | |

Varayut Boonyasri, Suthep Suantai, Phakdi Charoensawan | 252-267 |

A Random Generalized S-Contraction Mapping for Finding a Random P-Common Best Proximity Point | |

Thidaporn Seangwattana, Ramakant Bhardwaj, Somayya Komal, Poom Kumam | 268-276 |

Fixed Point Theorems for Generalized R-Contraction in b-Metric Spaces | |

Atit Wiriyapongsanon, Narawadee Phudolsitthiphat | 277-287 |

Commutativity of Additive Inverse Semirings through f(xy) = [x,f(y)] | |

Yaqoub Ahmed Khan, Muhammad Aslam, Liaqat Ali | 288-300 |

On Nonlinear Implicit Fractional Differential Equations with Integral Boundary Condition Involving p-Laplacian Operator without Compactness | |

Kamal Shah, Wajid Hussain, Phatiphat Thounthong, Piyachat Borisut, Poom Kumam, M Arif | 301-321 |

Shrinking Projection Methods for a Split Equilibrium Problem and a Hybrid Multivalued Mapping | |

Watcharaporn Cholamjiak, Tatsapol Ratrisane, Pailin Seubruang | 322-344 |

Constraint Qualifications for Uncertain Convex Optimization without Convexity of Constraint Data Uncertainty | |

Nithirat Sisarat, Rabian Wangkeeree | 345-366 |

On New Fixed Point Results in Eb-Metric Spaces | |

P. Sumati Kumari, C. Boateng Ampadu, Jamnian Nantadilok | 367-378 |

Random Fixed Point of Random Hardy-Roger Almost Contraction for Solving Nonlinear Stochastic Integral Equations | |

Plern Saipara, Dhananjay Gopal, Wiyada Kumam | 379-395 |

Painleve-Kuratowski Convergence of Solution Sets for Generalized Strong Vector Quasi-Equilibrium Problem with Domination Structure | |

Thanatporn Bantaojai, Rabian Wangkeeree | 396-416 |

A New Ratio Estimator for Population total in the Presence of Nonresponse under Unequal Probability Sampling without Replacement | |

Chugiat Ponkaew, Nuanpan Lawson | 417-429 |

Mininal S_beta-open sets and Maximal S_beta-closed sets in topological spaces | |

Ardoon Jongrak | 430-436 |

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|ISSN 1686-0209|